DR. BRIAN J. MCCARTIN

Curriculum Vita

 

 

Address

 

Department of Mathematics

Kettering University

1700 West University Avenue

Flint, Michigan 48504-4898

Phone:  (810) 762-7802

Fax:      (810) 762-9796

E-Mail: bmccarti@kettering.edu

Internet: http://www.kettering.edu/~bmccarti

 

 

 

                                                                             

 

Education

 

  • Assumption School – Providence, RI – 1965
  • Central High School – Providence, RI – 1969
  • University of Rhode Island - B.S. in Applied Mathematics (with Highest Distinction) - 1976
  • University of Rhode Island - M.S. in Applied Mathematics - 1977
  • New York University (Courant Institute of Mathematical Sciences) -

Ph.D. in Applied Mathematics - 1981

  • University of Hartford (Hartt School of Music) – B.M. in Music Theory                      (Summa Cum Laude) - 1994

Experience

 

  • Kettering University - July 1993 to Present

Professor of Applied Mathematics  Teach courses, develop curriculum, perform research, and consult in Applied Mathematics.  Current focus is in Computational Mathematics with emphasis in Electromagnetics and Mathematical Biology.

 

  • University of Bridgeport - December 1992 to June 1993

Associate Professor of Applied Mathematics Taught courses in Applied Mathematics and Computational Physics.

 

  • Computational Mathematics Consultants - July 1992 to December 1992

Founder, President, and Chief Scientist Provided consultation services in Computational Mathematics to industrial clients.

 

  • The RPI-Hartford Graduate Center - July 1989 to July 1992

            Professor and Chairman (1989-91) of Computer Science  Established research program in

            Numerical Computing.  Taught courses in Applied Mathematics, Computer Science,

            Electrical Engineering, and Mechanical Engineering.  Chaired CIS Department  (1989-91).

 

  • United Technologies Research Center - July 1989 to December 1993

            Consultant Provided consultation to Computational Mathematics Group.

 

  • United Technologies Research Center - September 1981 to July 1989
            Senior Research Mathematician  Responsible for the development and application of
            advanced numerical procedures for the solution of problems in science and engineering. 

 

  • The RPI-Hartford Graduate Center - 1984 to 1989

Adjunct Associate Professor in Computer Science  Courses in Stochastic Processes, Numerical Analysis, Analysis of Algorithms, Theoretical Computer Science, and Electromagnetics were taught.

 

  • University of Connecticut - 1985

Part Time Lecturer in Computer Science  A course in Numerical Analysis was taught.

 

  • Central Connecticut State University - 1982 to 1984

Lecturer in Mathematics Courses in Mathematical and Numerical Analysis were taught.

 

  • University of Hartford - 1982 to 1984

Adjunct Mathematics Faculty  Courses in Applied Mathematics, Numerical Analysis, and Linear Algebra were taught.

  • Middlesex Community College - 1982 to 1983

Instructor of Mathematics  Lower division mathematics courses were taught.

 

  • Gerber Systems Technology - May 1981 to September 1981

Senior Research Mathematician  Research was focused on computational geometry.

 

  • Courant Institute of Mathematical Sciences - April 1981

Assistant Research Scientist  Performed research in Computational Fluid Dynamics.

 

  • Pratt and Whitney Aircraft - May 1977 to April 1981

      Scientific Analyst  A wide variety of engineering problems were solved both by applying             existing numerical methods and by developing new techniques as needed. 

 

  • Manchester Community College - 1980 to 1981

Instructor of Mathematics  Lower division mathematics courses were taught.

 

  • University of Rhode Island - September 1976 to May 1977

Graduate Teaching Assistant  Courses in calculus and differential equations were taught.

 

  • University of Rhode Island - September 1974 to May 1976

Undergraduate Work-Study Program  Graded papers for courses in mathematics and mathematical economics.  Operated URI Academic Computer.

 

 

Honors and Awards

 

  • Rhode Island Honor Society – 1969.

 

  • Who’s Who Among American High School Students – 1969.

 

  • The Senator Anthony Prize for Exposition - Central High School (Providence, RI) - 1969. 
  • Herbert and Claiborne Pell Medal for United States History - Central High School (Providence, RI) - 1969.                                                                                                         
  • Edward F. McLaughlin Mathematics Award  - Central High School (Providence, RI) - 1969.

 

  • Academic Excellence Award in Mathematics - University of Rhode Island - 1976.

 

  • Honor Society of Phi Kappa Phi - URI Chapter - 1976.

 

  • Invited Lecturer at the Short Course on New Problems and New Solutions for Device and Process Modelling, Dublin, Ireland, June 17-18, 1985.

 

  • Invited Lecturer at Special Session on PDE Methods for Electromagnetics,

1988 URSI Meeting, Syracuse, New York.

 

  • Invited Chapter in Progress in Electromagnetics Research - V.II, 1989.

 

  • Elected to Electromagnetics Academy: Institute for Theory and Computation - 1989.

 

  • Listed in Who's Who in Electromagnetics.

 

  • Music Theory Award – Hartt School of Music –1992.

 

  • Honor Society of Alpha Chi - University of Hartford Chapter - 1993.

 

  • Honor Society of Pi Kappa Lambda (Music) - Hartt School Of Music - 1994.

 

  • Invited Plenary Lecturer at Workshop on Numerical Wave Propagation, Institute for Mathematics and Its Applications, University of Minnesota,  September 19-23, 1994.

 

·         Invited Lecturer and Participant at Workshop on Computational Electromagnetics, Institute for Computer Applications in Science and Engineering, NASA Langley Research Center,

June 12-16, 1995.

 

·         Distinguished Visiting Professor of Applied Mathematics, Department of Mathematical Sciences, New Jersey Institute of Technology, March 1997.

 

  • Honor Society of Pi Mu Epsilon (Mathematics) - URI Chapter – 1997.

 

  • American Men and Women of Science – 1998, 2002.

 

  • Honor Society of Kappa Mu Epsilon (Mathematics) - Kettering University Chapter - 1998.

 

  • Who’s Who in the Midwest - 1998/99.

 

  • Supervised 1999 Harley Anderson Award Winner (Michael W. Fisackerly) for Best Thesis - $600 Prize.

 

  • Who’s Who in Science and Engineering – Millenium Edition; 2002-2003; 2004-2005; 2006-2007, 2008-2009.
  • 2000 Outstanding Scientists of the 20th Century.

 

  • Outstanding People of the 20th Century.

 

  • Who’s Who In America – 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007.

 

  • Who’s Who In the World – 2000, 2001.

 

  • Dictionary of International Biography – 2000, 2001, 2002, 2003, 2004, 2005.

 

  • 2000 Outstanding Intellectuals of the 20th Century.

 

  • 2000 Outstanding Scholars of the 20th Century.

 

  • Kettering University Outstanding Researcher Award – 2000.

 

  • Who’s Who in the 21st Century – First Edition.

 

  • 2000 Outstanding Scholars of the 21st Century – First Edition.

 

  • 2000 Outstanding People of the 21st Century – First Edition.

 

  • Delta Tau Delta – Epsilon Iota B Chapter – 2001.

 

  • Kettering University Outstanding Teaching Award – 2001.

 

  • Kettering University Outstanding (Greek) Chapter Advisor – 2001.

 

  • Kettering University Robot Society, Honorary Member – 2001.

 

  • International Scientist of the Year – 2002, 2008.

 

  • Delta Tau Delta – Good Delt Award – June, 2002.

 

  • Kettering University Graduation Marshal – 2002, 2003, 2004, 2005, 2006, 2007, 2008.

 

  • Kettering University Outstanding (Greek) Chapter Advisor – 2002.

 

  • 2000 Outstanding People – 2003.

 

  • Who’s Who in American Education – 2004, 2005, 2006, 2007.

 

  • Who’s Who Among America’s Teachers – 2004, 2005.

 

  • 2004 Award for Distinguished College or University Teaching of Mathematics from the Michigan Section of the Mathematical Association of America.

 

  • Keynote Speaker at 2006 Michigan Mathematics Prize Competition Awards Day.

 

  • Supervised 2006 Applied Mathematics Award Recipient (Matthew F. Causley) for Best Undergraduate Research.

 

  • Appointed to Editorial Board of Applied Mathematical Sciences – 2006.

 

  • Kettering University Outstanding Teaching Award – 2006.

 

  • Appointed to Editorial Board of The Open Applied Mathematics Journal – 2007.

 

  • Appointed to Editorial Board of The Open Applied Mathematics Letters – 2007.

 

  • Appointed to Editorial Board of The Open Applied Mathematics Reviews – 2007.

 

  • Appointed to Editorial Advisory Board of SJI Journal of Mathematics, Statistics and Allied  Fields -2007.

 

  • Fellow of the Electromagnetics Academy – 2007.

 

  • Asian/American Who’s Who: Vol. VIII – 2008, Vol. IX - 2009.

 

  • Invited Plenary Lecturer at WSEAS American Conference on Applied Mathematics, Harvard University – 2008.

 

  • Appointed to Editorial Board of International Journal of Computers – 2008.

 

  • Appointed to Editorial Board of International Journal of Systems Applications, Engineering & Development – 2008.

 

  • Leading Scientists of the World – 2008.

 

  • 2000 Outstanding Scientists – 2008/2009.

 

  • IBC 21st Century Award for Achievement – 2009.

 

  • Who’s Who in Michigan – 2009.

 

  • IBC Top 100 Scientists – 2009.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

PUBLICATIONS

 

1.               The Power Method and Some of its Ramifications, University of Rhode Island, 1977 (M.S. Thesis).

 

2.               Duct Acoustics Program, Pratt & Whitney Aircraft, TDM-2469, October 1977.

 

3.               Image Processing System, Pratt & Whitney Aircraft, TDMS-T0268, October 1978.

 

4.               Multilevel Adaptaive Techniques for the Numerical Solution of Partial Differential Equations, Pratt & Whitney Aircraft, 1978.

 

5.          Software Concepts Useful for Industrial Image Processing, Proceedings of IEEE Computer Society Conference on Pattern Recognition and Image Processing, Chicago, IL, August 6-8, 1979, pp. 653-659.                                                                                                                             

6.         A Survey of Parallel Processing, Pratt & Whitney Aircraft, 1979.                                                

7.        On Curves and Surfaces, Pratt & Whitney Aircraft, 1979.

 

8.        Numerical Computation of Exponential Splines, Pratt & Whitney Aircraft, TDM-2519, October 1980.

 

9.        Time Dependent Analysis of Relaxation Schemes, Pratt & Whitney Aircraft, 1980.

 

10.    A Finite Volume Method, Pratt & Whitney Aircraft, 1980.

 

11.    Theory, Computation, and Applications of Exponential Splines,  Courant Mathematics and Computing Laboratory Research and Development Report DOE/ER/03077-171, October 1981 (Ph.D. Dissertation).

 

12.    Math: The Common Denominator of UTRC, The Researcher, Vol. 3., No. 10, Nov. 1982, p. 4.

 

13.    Discrete Mathematics, Proceedings of the First United Technologies Numerical Methods Symposium, 1982.

 

14.    Applications of Exponential Splines in Computational Fluid Dynamics,  AIAA J., Vol. 21, No. 8, August 1983, pp. 1059-1065; Translated into Russian: Aerospace Technology 2(4), 1984, 13-20.

 

15.    Model Trust Region Algorithms, Proceedings of the Second United Technologies Numerical Methods Symposium, 1983.

 

16.    Steady State Numerical Analysis of Single Carrier Two Dimensional Semiconductor Devices Using the Control Area Approximation, Proceedings of the Third International Conference on Numerical Analysis of Semiconductor Devices and Integrated Circuits, pp. 185-190,  Boole Press, 1983.

 

17.    Notes on Iterative Methods, United Technologies Research Center, 1984.

 

18.    Control Region Approximation, Proceedings of SIAM Spring Meeting, 1985, p. A26.

 

19.    Discretization of the Semiconductor Device Equations, New Problems and New Solutions for Device and Process Modelling, pp. 72-82, Boole Press, 1985.

 

20.   Solution of the Discrete Semiconductor Device Equations, Proceedings of the Fourth International Conference on Numerical Analysis of Semiconductor Devices and Integrated Circuits, pp. 411-416, Boole Press, 1985.

 

21.   Control Region Approximation: Preliminary Report, American Mathematical Society Abstracts, Vol. 6, No. 3, June 1985, p. 266.

 

22.    Generalized Control Region Approximation: Preliminary Report, American Mathematical Society Abstracts, Vol. 6, No. 4, August 1985, p. 316.

 

23.    Numerical Integration on Arbitrary Domains: Preliminary Report, American Mathematical Society Abstracts, Vol. 6, No. 6, November 1985, p. 486.

 

24.    A Model-Trust-Region Algorithm for the Solution of the Discretized Semiconductor Device Equations, Proceedings of SIAM Fall Meeting, 1985, p. A6.

 

25.    Solution of Complex Helmholtz Equations in Arbitrary Geometries, Proceedings of SIAM National Meeting, 1986, p. A82.

 

26.    Numerical Computation on Arbitrary Lattices of Points, Proceedings of the International Congress of Mathematicians, 1986, p. LXXI.

 

27.    Application of the Control Region Approximation to Electromagnetic Scattering, Proc. URSI Radio Science Meeting, 1987, p. 185.

 

28.    Short Course on Two-Dimensional Electromagnetic Scattering, Sikorsky Aircraft, 1987.

 

29.    A New Look at the Asymptotic Boundary Conditions for Differential Equation Approaches to Solving Open Region Scattering Problems, Proc. URSI Radio Science Meeting, 1987, p. 251.

 

30.    Application of Control Region Approximation to Guided Wave Computation, Proceedings   of SIAM Annual Meeting, 1988, p. A58.

 

31.   Computational Electromagnetics, Proceedings of the Centennial Celebration of the American Mathematical Society, 1988, p. 43.

 

32.    Application of the Control Region Approximation in Conjunction with Absorbing Boundary Conditions to the Direct Solution of Electromagnetic Scattering Problems, Proc. URSI Radio Science Meeting, p. 14, 1988.

 

33.    Three Dimensional Electromagnetic Scattering Calculation Using the Control Region Approximation, Proc. URSI Radio Science Meeting, p. 181, 1988.

 

34.    Application of the Control Region Approximation to Two Dimensional Electromagnetic Scattering,  Chapter 5 of Differential Methods in Electromagnetic Scattering, M.A. Morgan (ed), Elsevier 1988. (also UTRC87-42)

 

35.    Wanted:  Industrial Mathematician - Versatility Required, Employment Information in the Mathematical Sciences,  Issue No. 95, Nov. 1988, pp. xii-xiii.

 

36.    3D Information from 2D Analyses, Progress in Electromagnetics Research Symposium Proceedings, 1989, p. 186.

 

37.    Finite Difference Time Domain Techniques for Two Dimensional Triangular Grids, Progress in Electromagnetics Research Symposium Proceedings, 1989, pp. 189-190.

 

38.    Modeling of Anisotropic Media Using Finite Differences, Progress in Electromagnetics Research Symposium Proceedings, 1989, pp. 193.

 

39.    Hybrid Techniques for Electrically Large Ducts, Progress in Electromagnetics Research Symposium Proceedings, 1989, p. 195.

 

40.    Three Dimensional Finite Difference Frequency Domain Scattering Computations Using the Control Region Approximation, IEEE Trans. Mag., Vol. 25, No. 4, July 1989, pp. 3092-3094.

 

41.    Charge Confinement in Heterojunction Acoustic Charge Transport Devices, Applied Physics Letters, Vol. 55, No. 13. 1989, pp. 1330-1332.

 

42.    Computational Electromagnetics, Proceedings of the RPI Scientific Computation Research Center’s Workshop on Reliable Large Scale Scientific Computation, 1990.

 

43.    Absorbing Boundary Conditions on Circular and Elliptic Boundaries, J. Electromagnetic Waves and Applics., Vol. 4, No. 10, 1990, pp. 945-962.

 

44.    Computation of Exponential Splines, SIAM J. Sci. Stat. Comp., Vol. 11, No. 2, March 1990, pp. 242-262.

 

45.    Numerical Solution of Nonlinear Hyperbolic Conservation Laws Using Exponential Splines, Computational Mechanics, Vol. 6, No. 2, August 1990, pp. 77-91.

 

46.    An Alternative Culminating Experience for Master’s Students in Computer Science,

ACM SIGCSE Bulletin, Vol. 23, Issue 1,  March 1991, pp. 210-218.

 

47.    Finite Difference Analysis of Electromagnetic Scattering in Anisotropic Material, IEEE Trans. On Antennas and Propagation, Vol. 39, No. 3, March, 1991, pp. 345-349.

 

48.    Theory of Exponential Splines,  Journal of Approximation Theory, Vol. 66, No. 1, July 1991,  pp. 1-23.

 

49.    An Alternative Analysis of Duffing’s Equation, SIAM Review, Vol. 34, No. 3, September 1992, pp. 482-491.

 

50.    Radar Cross Section Modelling Assessment, United Technologies Research Center, UTRC93-35, October 1993.

 

51.    Scattering by Two-Dimensional Periodic Structures, Proceedings of the 4th Annual GMI-Industry Symposium, 1993, p. 116.

 

52.    Numerical Simulation of Scattering by Dielectric Gratings, Proceedings of SIAM National Meeting, 1994, p. 20.

 

53.    Finite-Difference Time-Domain Scattering Computations, Proceedings of the 5th Annual GMI-Industry Symposium, 1994, pp. 219-240.

 

54.    A Finite Difference Time Domain Technique on Triangular Grids, J. Electromagnetic Waves and Applications, Vol. 8, No. 4, 1994, pp. 449-470.

 

55.   Haydn, Mozart, and the Classical String Quartet Fugal Finale, Hartt School of Music, 1994 (Senior Thesis).

 

56.   Control Region Approximation of Scattering by Two-Dimensional Periodic Structures, J. Electromagnetic Waves and Applics., Vol. 9, No. 5/6, 1995, pp. 615-643.

 

57.    Control Region Approximation of Cylindrical Waveguides, Proceedings of the 6th Annual GMI-Industry Symposium, 1995, pp. 158-178.

 

58.    Scattering by a Rectangularly Corrugated Surface: An Approximate Theory, IEEE Trans. Antennas & Propagation, Vol. 44, No. 8, August 1996, pp. 1193-1194.

 

59.    Exponential Splines: A Survey, Proceedings of the Twelfth Annual Conference on Applied Mathematics, University of Central Oklahoma Press, 1996, pp. 109-126.

 

60.    Numerical Computation of Guided Electromagnetic Waves, Proceedings of the Twelfth Annual Conference on Applied Mathematics, University of Central Oklahoma Press, 1996, pp. 127-140.

 

61.    A Perturbation Procedure for Nearly-Rectangular, Homogeneously-Filled, Cylindrical Waveguides, IEEE Microwave & Guided Wave Letters, Vol. 6, No. 10, Oct 1996, pp. 354-356.           

 

62.   Numerical Simulation of Cylindrical Waveguides, in Proceedings of ICIAM '95,          Vol V: Applied Sciences, Zeitschrift fr Angewandte Mathematik und Mechanik, Vol. 76, 1996, Suppl. 5, pp. 327-328.                                                                                                                                  

63.    A Perturbation Procedure for Acoustic Waveguides with Heated Walls, Proceedings of the 7th Annual GMI-Industry Symposium, 1996, pp. 168-181.

 

64.    Control Region Approximation for Electromagnetic Scattering Computations, in Computational Wave Propagation, B. Engquist and G. A. Kriegsmann (eds.), IMA Volumes in Mathematics and Its Applications, Vol. 48, pp. 141-164,  Springer-Verlag, 1997.

 

65.    Propagation of Electromagnetic Waves by the Method of Lines, in Proceedings of Second Biennial Symposium on Mathematical Modeling in the Undergraduate Curriculum, Helen Skala (Ed.), University of Wisconsin-LaCrosse, 1997, pp. 265-274.

 

66.    A Perturbation Method for the Modes of Cylindrical Acoustic Waveguides in the Presence of Temperature Gradients, J. Acoustical Society of America, Vol. 102, No. 1, July 1997, pp.  160-163.

 

67.    Control Region Approximation of Two Dimensional Elliptic Boundary Value Problems, Proceedings of the Thirteenth Annual Conference on Applied Mathematics, pp. 187-201, 1997.

 

68.    A New Model-Trust Region Algorithm for Nonlinear Equations, Proceedings of the Thirteenth Annual Conference on Applied Mathematics, University of Central Oklahoma Press,  pp. 172-186, 1997.

 

69.    Semidiscretization of the Unsteady Convection-Diffusion Equation,  Proceedings of the Thirteenth Annual Conference on Applied Mathematics, University of Central Oklahoma Press, pp. 202-223, 1997.

 

70.    13 is a Lucky Number, SIAM News, July 1997, p. 13.

 

71.    Solving Partial Differential Equations Using Semidiscretization, Proceedings of the 8th GMI-Industry Symposium, 1997, pp. 121-144.

 

72.    What Is Fxy?, PRIMUS, Vol. VIII, No. 1, March, 1998, pp. 39-51.

 

73.    A Model Trust Region Algorithm Utilizing a Quadratic Interpolant, J. Computational and Applied Mathematics, Vol. 91 (1998), pp. 249-259.

 

74.    A Well-Kept Secret: The Kettering University Experience, SIAM News, Vol. 31, No. 6,  July 1998, pp. 12-13.

 

75.    Exponential Fitting for a Convection-Reaction-Diffusion System Arising in Chemotaxis, Proceedings of SIAM Annual Meeting, 1998, p. 33.

 

76.    Compact Higher-Order Exponentially-Fitted Discretization of the Steady One-Dimensional Convection-Diffusion Equation, in Proceedings of the Fourteenth Annual Conference on Applied Mathematics, University of Central Oklahoma Press, 1998, pp. 222-235.

 

77.    Numerical Approximation of Singular Perturbation Problems of Reaction-Diffusion Type in Proceedings of the Fourteenth Annual Conference on Applied Mathematics, University of Central Oklahoma Press, 1998, pp. 207-221.

 

78.    Highly Accurate Numerical Approximation of Nonlinear Reaction-Diffusion Equations, Proceedings of 9th Annual Kettering University-Industry Symposium, pp. 210-219, 1998.

 

79.    A One-Dimensional Numerical Model of Chemotaxis, in Proceedings of the Third Biennial Symposium on Mathematical Modeling in the Undergraduate Curriculum, Helen Skala (ed.), University of Wisconsin-LaCrosse, pp. 75-89, 1999.

 

80.    Prelude to Musical Geometry, College Mathematics Journal, Vol. 29, No. 5, November 1998, pp. 2-18.

 

81.    The Seven Deadly Sins of Numerical Computation, American Mathematical Monthly, Vol. 105, No. 10, December 1998, pp. 929-941.

 

82.    A Mathematical Model from Population Genetics: Numerical Solutions of  Fisher’s Equation, in Proceedings of the Third Biennial Symposium on Mathematical Modeling in the Undergraduate Curriculum, Helen Skala (ed.), University of Wisconsin-LaCrosse, pp. 144-158, 1999.

 

83.    Application of the Douglas Scheme to the Computation of European Stock Option Prices, Proceedings of the Fifteenth Annual Conference On Applied Mathematics, University of Central Oklahoma Press, pp. 166-178, 1999.

 

84.    Computation of Stock Option Prices Using the Crandall - Douglas Scheme, Proceedings of 2nd Forum On Numerics and Modeling for Partial Differential Equations, 1999.

 

85.    A Numerical Procedure for 2D Acoustic Waveguides With Heated Walls, Bulletin of the American Physical Society, Vol. 44, No. 3, p. 38,  July 1999.

 

86.    A Two-Dimensional Numerical Model of Chemotaxis, Integral Methods in Science and Engineering, B. Bertram, C. Constanda, and A. Struthers (Eds.), Chapman & Hall/CRC, pp. 149-154, 2000.

 

87.    Compact Fourth-Order Approximation for a Nonlinear Reaction-Diffusion Equation Arising in Population Genetics, Integral Methods in Science and Engineering, B. Bertram, C. Constanda, and A. Struthers (Eds.), Chapman & Hall/CRC,  pp. 223-228, 2000.

 

88.    Some Modelling Issues in River Quality Simulation, Proceedings of  3rd Forum On Numerics and Modeling for Partial Differential Equations, 2000.

 

89.    A Numerical Model of Chaotic Respiration, in Proceedings of the Fourth Biennial Symposium on Mathematical Modeling in the Undergraduate Curriculum, University of Wisconsin- LaCrosse, 2000, pp. 66-77.

 

90.    Great Lakes Section Holds 3rd Forum, SIAM News, Vol. 33, No. 6, July/August 2000, p.2.

 

91.    Validation of Mathematical Methods Developed for Tracking the Relative Motion of Objects in Space Using Roentgen Stereofluorogrammetry, Proceedings of the ASME Summer Bioengineering Conference, 2001, BED-Vol. 50, pp. 565-566.

 

92.    Least Squares Methods for Minimizing Error in Three Dimensional Measurements of the Relative Spatial Positions of Objects by Roentgen Stereofluorogrammetry, Proceedings of  the ASME Summer Bioengineering Conference, 2001, BED-Vol. 50, pp.221-222.

93.    Mechanical Distortion of the Popliteal Venous Structure During Anterior Tibial Subluxation: A Potential Mechanism for Deep Venous Thrombosis, Transactions of the Michigan  Orthopaedic Society, 2001.

 

94.    Anterior Tibial Retraction Produces Significant Collateral Ligament Strains during TKA, Proceedings of the ASME Summer Bioengineering Conference, 2001, BED- Vol. 50,  pp. 391-392.

 

95.    Exponential Fitting of the Delayed Recruitment/Renewal Equation, Journal of Computational and Applied Mathematics,  Vol. 136, No. 1-2, November 2001, pp. 343-356.

 

96.    Application of the Crandall-Douglas Scheme to the Computation of American Stock Option  Prices, Proceedings of the Sixteenth Annual Conference On Applied Mathematics, University of Central Oklahoma Press, 2001, pp. 94-108.

 

97.    Numerical Approximation of the Streeter-Phelps Equations of River Self-Purification, Proceedings of the Sixteenth Annual Conference On Applied Mathematics, University of   Central Oklahoma Press, 2001, pp. 109-119.

 

98.    Warm Waveguides, Proceedings of the 4th Forum on Numerics and Modeling for Partial Differential Equations, 2001.

 

99.    Modal Degeneracy in Square Waveguides, Journal of the Acoustical Society of America, Vol. 111, No. 1, Pt. 1, January 2002, pp. 49-52.

 

100.          A Fractional Step – Exponentially Fitted Hopscotch Scheme for the Streeter-Phelps Equations of River Self-Purification, Engineering Computations, Vol. 19, No. 2, April 2002, pp. 177-189.

 

101.       Eigenstructure of the Equilateral Triangle under Robin Boundary Conditions,     Proceedings of SIAM 50th Anniversary Meeting, 2002, p. 136.

 

102.          The Use of Roentgen-Stereofluorogrammetry to Predict the 3-D Spatial Coordinates of Points in Low Speed Events, Journal of Biomechanics,Vol. 35 (2002), pp. 1003-1006.

 

103.       Eigenstructure of the Equilateral Triangle, Part I: The Dirichlet Problem,  SIAM Review, Vol. 45, No. 2, 2003, pp. 267-287.

 

104.       Eigenstructure of the Equilateral Triangle, Part II: The Neumann Problem, Mathematical Problems in Engineering, Vol. 8, No. 6, 2002, pp. 517-539.

 

105.       Eigenstructure of the Equilateral Triangle, Part III: The Robin Problem, International Journal of Mathematics and Mathematical Sciences, Vol. 2004, No. 16, 16 March 2004, pp. 807-826.

 

106.       Modal Degeneracy in Equilateral Triangular Waveguides, Journal of Electromagnetic Waves and Applications, Vol. 16, No. 7, 2002, pp. 943-956.

 

107.          A Geometric Characterization of Linear Regression,  Statistics, Vol. 37, No. 2, pp.101-117, March-April 2003.

 

108.       Accurate and Efficient Pricing of Vanilla Stock Options Via the Crandall-Douglas Scheme, Applied Mathematics and Computation, Vol. 143, No. 1, 2003, pp. 39-60.

 

109.       Erratum: “A Perturbation Method for the Modes of Cylindrical Acoustic Waveguides in the Presence of Temperature Gradients [J. Acoust. Soc. Am. 102, 160-163 (1997)]”, JASA, Vol. 113, No. 5, May 2003, pp.2939-2940.

 

110.       Pseudoinverse Formulation of Rayleigh-Schrödinger Perturbation Theory for the Symmetric Matrix Eigenvalue Problem, Journal of Applied Mathematics, Vol. 2003, No. 9, 2003, pp. 459-485.

 

111.       Is the Quasi-Static Approximation in the Modelling of Catalytic Converters Valid?, Proceedings of SIAM Conference on Mathematics for Industry: Challenges and Frontiers, 2003, p. 21.

 

112.       A Family of Higher-Order Schemes for the Convection-Diffusion Equation in Conservation Form, J. of Computational Methods in Science and Engineering, Vol. 5, No. 1, 2005, pp. 91-108.

 

113.        Geometry of Linear Regression with Correlated Errors, Vol. 39, No. 1, pp. 1-11, Statistics, Februrary 2005.

 

114.        Numerical Investigation of the Validity of the Quasi-Static Approximation in the Mathematical Modelling of Catalytic Converters, Mathematics for Industry: Challenges and Frontiers (SIAM Proceedings in Applied Mathematics No. 121), SIAM, 2005, pp. 100-116.

 

115.        The Method of Angled Derivatives, Applied Mathematics and Computation, Vol. 170, 2005, pp. 440-461.                                                                                                                                      

 

116.        The Exponential Method of Angled Derivatives, Applied Mathematics and Computation, Vol. 177/2, 2006, pp.665-685.

 

117.        A Geometric Property of the Octatonic Scale, International Mathematical Forum, Vol. 2, No. 49, 2007, pp. 2417-2436.

118.        Pseudoinverse Formulation of Rayleigh-Schrödinger Perturbation Theory for the Symmetric Definite Generalized Eigenvalue Problem, International Journal of Applied Mathematical Sciences, Vol. 2, No. 2 (2005), pp. 159-171

 

119.        Geometric Characterization of Planar Regression, Statistics, Vol. 40, No. 3, June 2006,pp. 187-206.

 

120.        Pseudoinverse Formulation of Analytic Rayleigh-Schrödinger Perturbation Theory for the Symmetric Eigenvalue Problem, International Journal of Pure and Applied Mathematics, Vol. 24, No. 2 (2005), pp. 271-285.

 

121.        e: The Master of All, Mathematical Intelligencer, Vol. 28, No. 2,2005, pp. 10-21; Translated into Chinese: Mathematical Advance in Translation, Vol. 26, No. 3, 2007, pp. 213-226.

 

122.        On Concentration and Inertia Ellipsoids, Applied Mathematical Sciences, Vol. 1, No. 1, 2007, pp. 1-11.

 

123.        Pseudoinverse Formulation of  Analytic Rayleigh-Schrödinger Perturbation Theory for the Symmetric Definite Generalized Eigenvalue Problem, Global Journal of Pure and Applied Mathematics, Vol. 2, No. 1 (2006), pp. 29-42.

 

124.        Eigenstructure of the Equilateral Triangle, Part IV: The Absorbing Boundary Condition, International Journal of Pure and Applied Mathematics, Vol. 37, No. 3, 2007, pp. 395-422.

 

125.        On the Eigenstructure of a Sturm-Liouville Problem with an Impedance Boundary Condition, Global Journal of Pure and Applied Mathematics, Vol. 3, No. 1, 2007, pp. 63-82.

 

126.        Eigenstructure of theEquilateral Triangle, Part V: The Impedance Boundary Condition, Applied Mathematical Sciences, Vol. 2, No. 44, 2008, pp. 2187-2217.

 

127.        Angled Derivative Approximation of the Hyperbolic Heat Conduction Equations, Applied Mathematics and Computation, Vol. 182, No. 2 (2006), pp. 1581-1607.

 

128.        Orthogonal Linear Regression in Roentgen Stereophotogrammetry, Applied Mathematical Sciences, Vol. 1, No. 13, 2007, pp. 629-645.

 

129.        On the Relationship Between Concentration and Inertia Hyperellipsoids, Applied Mathematical Sciences, Vol. 2, No. 10, 2008, pp. 489-495.

 

130.        Spectral Structure of the Equilateral Triangle I: Lamé’s Formulas, Recent Advances in Applied Mathematics (Proceedings of American Conference on Applied Mathematics), WSEAS, 2008, pp. 195-200.

131.        Spectral Structure of the Equilateral Triangle II: Beyond Lamé’s Formulas, Recent Advances in Applied Mathematics (Proceedings of American Conference on Applied Mathematics), WSEAS, 2008, pp. 201-208.

 

132.        What Does fxx fyy–f2xy>0 Really Mean?, PRIMUS, Vol. XVIII, Issue 5, 2008, pp. 456-474.

 

133.        On Polygonal Domains with Trigonometric Eigenfunctions of the Laplacian Under Dirichlet or Neumann Boundary Conditions, Applied Mathematical Sciences, Vol. 2, No. 58, (2008) pp. 2891-2901.

 

134.        Remarks on a Paper of Roe and Arora, Applied Mathematical Sciences, Vol. 3, No. 2, 2009, pp. 85-114.

 

135.        Fourth-Order Accurate Simplified Coupled Characteristics-Based Schemes for the Hyperbolic Heat Conduction Equations, Applied Mathematical Sciences, Vol. 3, No. 10, 2009,  pp. 461-490.

 

136.        Numerical Computation of the Eigenstructure of Cylindrical Acoustic Waveguides with Heated (or Cooled)  Walls, Applied Mathematical Sciences, Vol. 3, No. 17, 2009, pp. 825-837.

 

137.        Characteristics-Based Schemes for the Hyperbolic Heat Conduction Equations, Applied Mathematical Sciences (to appear).

 

138.        Exponential Fitting of the Damped Wave Equation, Applied Mathematical Sciences (to appear).

 

139.          Computation of Propagating Modes for Inhomogeneous Cylindrical Electromagnetic Waveguides,  Applied Mathematical Sciences (to appear).

  

140.        Geometry of Planar Regression with Correlated Errors, Statistics (to appear).

 

 

 

 

 

 

 

 

 

 

 

 

PRESENTATIONS

 

1.                  A Survey of Parallel Processing, Numerical Analysis Seminar at New York University, March 15, 1979.

 

2.                  Multilevel Adaptive Techniques for the Numerical Solution of Partial Differential Equations, Numerical Analysis Seminar at New York University, April 12, 1979.

 

3.                  On Curves and Surfaces, Numerical Analysis Seminar at New York University, May 3, 1979.

 

4.                  Time Dependent Analysis of Relaxation Schemes,  Computational Fluid Dynamics Seminar at Pratt & Whitney Aircraft, March 31, 1980.

 

5.                  Exponential Splines and the Numerical Computation of Shock Waves, Mathematics Colloquium at University of Rhode Island, November 6, 1981.

 

6.                  Discrete Mathematics, First United Technologies Numerical Methods Symposium, 1982.

 

7.                  Excursions in Mathematics, Presentations given to public schools (Town of Manchester, CT), 1982-1984.

 

8.                  Numerical Analysis of Semiconductor Devices, Mathematics Colloquium at University of Rhode Island, April 29,1983.

 

9.                  Model Trust Region Algorithms, Second United Technologies Numerical Methods Symposium, 1983.

 

10.              Steady State Numerical Analysis of Single Carrier Two Dimensional Semiconductor Devices Using the Control Area Approximation, Third International Conference on Numerical Analysis of Semiconductor Devices and Integrated Circuits, Galway, Ireland, June 15, 1983.

 

11.              Iterative Solution of Large Sparse Systems of Linear Equations, United Technologies Numerical Methods Colloquium, April 24, 1984.

 

12.              Projection Methods, United Technologies Numerical Methods Colloquium, July 11, 1984.

 

13.              Basic Iterative Methods, United Technologies Numerical Methods Colloquium, August 30, 1984.

 

14.              Control Area Approximation on Dirichlet Regions Applied to Semiconductor Device Simulation, Second SIAM/IEEE Conference on Numerical Simulation of VLSI Devices, Boston, MA, November 14, 1984.

15.              Preconditioning Methods, United Technologies Numerical Methods Colloquium, February 28, 1985.

 

16.              Discretization of the Semiconductor Device Equations, Short Course on New Problems and New Solutions for Device and Process Modelling, Dublin, Ireland, June 17, 1985. (Invited)

 

17.              Solution of the Discrete Semiconductor Device Equations, Fourth International Conference on Numerical Analysis of Semiconductor Devices and Integrated Circuits, Dublin, Ireland, June 20, 1985.

 

18.              Control Region Approximation, SIAM Spring Meeting, Pittsburgh, PA, June 24, 1985.

 

19.              A Model Trust Region Algorithm for the Solution of the Discretized Semiconductor Device Equations, SIAM Fall Meeting, Tempe, AZ, October 28, 1985.

 

20.              Solution of Complex Helmholtz Equations in Arbitrary Geometries, SIAM National Meeting, Boston, MA. July 24, 1986.

 

21.              Numerical Computation on Arbitrary Lattices of Points, International Congress of Mathematicians, Berkeley, CA, August 6, 1986.

 

22.              Short Course on Two-Dimensional Electromagnetic Scattering, Sikorsky Aircraft, November 19, 1987.

 

23.              Control Region Approximation Applied to Two-Dimensional Electromagnetic Scattering   and Waveguides, MIT EM Wave Theory Group Seminar, January 27, 1988.

 

24.              Application of the Control Region Approximation in Conjunction with Absorbing Boundary Conditions to the Direct Solution of Electromagnetic Scattering Problems, URSI Radio Science Meeting, Syracuse, NY, June 6, 1988. (Invited)

 

25.              Three Dimensional Electromagnetic Scattering Calculations Using the Control Region Approximation, URSI Radio Science Meeting, Syracuse, NY, June 7, 1988.

 

26.              Application of Control Region Approximation to Guided Wave Computation, SIAM National Meeting, Minneapolis, MN, July 14, 1988.

 

27.              Computational Electromagnetics, Centennial Celebration of the American Mathematical Society, Providence, RI, August 12, 1988.

 

28.              Three Dimensional Finite Difference Frequency Domain Scattering Computations Using the Control Region Approximation, Third Biennial IEEE Conference on Electromagnetic Field Computation, December 14, 1988.

 

29.              Scattering by Two Dimensional Periodic Structures,  SIAM National Meeting, San Diego, CA, July 21, 1989.

 

30.              Computational Electromagnetics via Control Region Approximation, Progress in Electromagnetics Research Symposium (PIERS1), Boston, MA, July 25, 1989.

 

31.              Computational Biology,  Computer Science Seminar, Hartford Graduate Center, October 19, 1990.

 

32.              Computational Methods in Biology,  Computer Science Seminar, Eastern Connecticut State University, October 25, 1990.

 

33.              Computational Electromagnetics, Rensselaer Polytechnic Institute, December 11, 1990.         

34.              Scattering by Two-Dimensional Periodic Structures,  4th Annual GMI-Industry Symposium, October 28, 1993.

 

35.              Mathematical Biology, GMI Science and Mathematics Seminar, December 7, 1993.

 

36.              Numerical Simulation of Scattering by Dielectric Gratings, SIAM National Meeting, San Diego, CA, July 25, 1994.

 

37.              Finite-Difference Time-Domain Scattering Computations, 5th Annual GMI-Industry Symposium, September 13, 1994.

 

38.              Control Region Approximation for Electromagnetic Scattering Computations, Workshop    on Computational Wave Propagation, Institute for Mathematics and Its Applications, September 22, 1994.  (Invited)

 

39.              Control Region Approximation; Physically Based Discretization, Mathematics Department Seminar, General Motors Research Laboratories, October 6, 1994.

 

40.              Guided Wave Computation via Control Region Approximation, Workshop on Computational Electromagnetics, Institute for Computer Applications in Science and Engineering, June 16, 1995. (Invited)

 

41.              Numerical Simulation of Cylindrical Waveguides, Third International Congress on Industrial and Applied Mathematics, Hamburg, Germany, July 7, 1995.

42.              Control Region Approximation of Cylindrical Waveguides, 6th Annual GMI-Industry Symposium, September 12, 1995.

 

43.              Numerical Computation of Guided Electromagnetic Waves, Twelfth Annual conference on Applied Mathematics, University of Central Oklahoma, February 9, 1996.

 

44.              Propagation of Electromagnetic Waves by the Method of Lines, Second Biennial Symposium on Mathematical Modeling in the Undergraduate Curriculum, University of Wisconsin-LaCrosse, June 15, 1996.

 

45.              A Perturbation Procedure for Acoustic Waveguides with Heated Walls, 7th Annual GMI-Industry Symposium, September 10, 1996.

 

46.              Semidiscretization: Solving PDE’s Using ODE’s, GMI Science and Mathematics Seminar, January 23,  1997.                                                                                                                                    

47.              Control Regional Approximation of Two-Dimensional Elliptic Boundary Value Problems, Thirteenth Annual Conference on Applied Mathematics, University of Central Oklahoma, February 21, 1997.

 

48.              A New Model-Trust Region Algorithm for Nonlinear Equations, Thirteenth Annual Conference on Applied Mathematics, University of Central Oklahoma, February 22, 1997.

 

49.              Perturbation and Numerical Methods for Cylindrical Waveguides, New Jersey Institute of Technology, March 25, 1997.

 

50.              What Is Fxy?, Combined Annual Meeting of MAA (Michigan Section) and AMS (Central Section), Wayne State University, May 3, 1997.

 

51.              Solving Partial Differential Equations Using Semidiscretization, 8th Annual GMI-Industry Symposium, September 9, 1997.

 

52.              Compact Higher-Order Exponentially-Fitted Discretization of  the Steady One-Dimensional Convection-Diffusion Equation, Fourteenth Annual Conference on Applied Mathematics, University of Central Oklahoma, February 20, 1998.

 

53.              Numerical Approximation of Singular Perturbation Problems of Reaction-Diffusion Type, Fourteenth Annual Conference on Applied Mathematics, University of Central Oklahoma, February 20, 1998.

 

54.              Numerical Solution of Singular Perturbation Problems (or What To Do When Things Get Small), Mathematics Colloquium, Central Michigan University, March 2, 1998.

55.              Prelude to Musical Geometry, Annual Meeting of MAA (Michigan Section), Western Michigan University, May 2, 1998.

 

56.              A Mathematical Model from Population Genetics: Numerical Solution of Fisher’s Equation, Third Biennial Symposium on Mathematical Modeling in the Undergraduate Curriculum, University of Wisconsin-LaCrosse, June 12-13, 1998.

 

57.              A One-Dimensional Numerical Model of Chemotaxis, Third Biennial Symposium on Mathematical Modeling in the Undergraduate Curriculum, University of Wisconsin-LaCrosse, June 12-13, 1998.

 

58.              Exponential Fitting for a Convection-Reaction-Diffusion System Arising in Chemotaxis, SIAM National Meeting, Toronto, July 17, 1998.

 

59.              Compact Fourth Order Approximation for a Nonlinear Reaction - Diffusion Equation Arising in Population Genetics, Fifth International Conference on Integral Methods in  Science and Engineering, Michigan Technological University, August 10, 1998.

 

60.              A Two-Dimensional Numerical Model of Chemotaxis, Fifth International Conference on Integral Methods in Science and Engineering, Michigan Technological University, August 10, 1998.

 

61.              Highly Accurate Numerical Approximation of Nonlinear Reaction-Diffusion Equations, 9th Annual Kettering University-Industry Symposium, September 15, 1998.

 

62.              Application of the Douglas Scheme to the Computation of European Stock Option Prices, Fifteenth Annual Conference On Applied Mathematics, University of Central Oklahoma,             February 12, 1999.

 

63.              Math Makes the World Go Round, H.H. Dow High School, Midland, MI, February 25, 1999.

 

64.              A Numerical Procedure for 2D Acoustic Waveguides With Heated Walls, Annual Spring Meeting of APS  (Ohio Section), Kettering University, May 1, 1999.

 

65.              Numerical Computation of Vanilla Stock Option Prices Using the Crandall - Douglas Scheme, Applied Mathematics Seminar, Illinois Institute of Technology, May 3, 1999.

 

66.              The Mathematics of European Stock Option Prices Part II: Numerics, Annual Meeting of MAA (Michigan Section), Eastern Michigan University, May 8, 1999.

 

67.              Computation of Stock Option Prices Using the Crandall - Douglas Scheme, 2nd Forum On Numerics and Modeling for Partial Differential Equations, Bowling Green State University, May 13, 1999.

68.              Some Modelling Issues in River Quality Simulation, 3rd Forum On Numerics and Modeling for Partial Differential Equations,  University of Michigan-Dearborn, April       1, 2000.

 

69.              Revenge of the Hyperbolic Functions, Annual Meeting of       MAA (Michigan Section), Central Michigan University, May 6, 2000.

 

70.              A  Numerical Model of Chaotic Respiration, Fourth Biennial Symposium on Mathematical Modeling in the Undergraduate Curriculum, University of Wisconsin-LaCrosse, June 16-17, 2000.

 

71.              Musical Geometry, Kappa Mu Epsilon, Michigan Epsilon Chapter, Kettering University, August 29, 2000; November 21, 2000.

 

72.              Application of the Crandall-Douglas Scheme to the Computation of American Stock Option Prices, Sixteenth Annual Conference On Applied Mathematics, University of Central Oklahoma, February 24, 2001.

 

73.              Numerical Approximation of the Streeter-Phelps Equations of River Self-Purification, Sixteenth Annual Conference On Applied Mathematics, University of Central Oklahoma, February 24, 2001.

 

74.              Warm Waveguides, 4th Forum On Numerics and Modeling  for Partial Differential Equations, Oakland University, March 31, 2001.

 

75.              A Geometric Characterization of Linear Regression, Annual Meeting of MAA (Michigan Section), Hope College, April 28, 2001.

 

76.              Leonardo da Vinci: Mathemusician, Kappa Mu Epsilon, Michigan Epsilon Chapter, Kettering University, July 25, 2001; October 17, 2001.

 

77.              What’s Wrong with Mathematics Instruction at Kettering University? (An Insider’s View), Kettering University Teaching Fellows Seminar, August 30, 2001.

 

78.              Eigenstructure of the Equilateral Triangle, Mathematics Colloquium, Oakland University, February 14, 2002.

 

79.              Eisenstein Primes and Equilateral Eigenvalues, Annual Meeting of MAA (Michigan Section), Lawrence Technological University, May 11, 2002.

 

80.              Eigenstructure of the Equilateral Triangle Under Robin Boundary Conditions, SIAM 50th Anniversary Meeting, Philadelphia, July 12, 2002.

 

81.              Kettering University’s Amazing Math Whizzes, Discover Kettering Day, August 3, 2002.

82.              Geometric Structure of the Octatonic Scale, Annual Meeting of MAA (Michigan Section), Saginaw Valley State University, May 3, 2003.

 

83.              Is the Quasi-Static Approximation in the Modelling of Catalytic Converters Valid?, SIAM Conference on Mathematics for Industry: Challenges and Frontiers, Toronto, October 13, 2003.

 

84.              Some Thoughts on the Geometry of Linear Regression, Mathematics Colloquium, University of Rhode Island, March 19, 2004.

 

85.              A Geometric Characterization of Planar Regression, Annual Meeting of MAA (Michigan Section), Oakland University, May 8, 2004.

 

86.              The Geometry of Linear Regression with Correlated Errors, Mathematics Department Research Seminar, University of Michigan-Flint, September 24, 2004.

 

87.              Seven Deadly Sins of Numerical Computation, Mathematics Department Research Seminar, University of Michigan-Flint, October 29, 2004.

 

88.              Exponential MADness, Mathematics Department Research Seminar, University of Michigan-Flint, January 21, 2005.

 

89.              Pseudoinverse Formulation of Rayleigh-Schrödinger Perturbation Theory, Mathematics Department Research Seminar, University of Michigan-Flint, February 25, 2005.

 

90.              Geometry of Planar Regression, Mathematics Colloquium, Oakland University, March 29, 2005.

 

91.              e: The Master of All, Annual Meeting of MAA (Michigan Section), Alma College, April 29, 2005.

 

92.              Waves and Number Theory I: Gaussian Primes, Mathematics Department Research Seminar, University of Michigan-Flint, October 7, 2005.

 

93.              Waves and Number Theory II: Eisenstein Primes, Mathematics Department Research Seminar, University of Michigan-Flint, October 14, 2005.

 

94.              Geometry of Music I: Basic Topics, Mathematics Department Research Seminar, University of Michigan-Flint, December 2, 2005.

 

95.              Geometry of Music II: Advanced Topics, Mathematics Department Research Seminar, University of Michigan-Flint, January 13, 2006.

 

96.              The Mathematics of Music, Michigan Mathematics Prize Competition Awards Day, Oakland University, February 25, 2006.

 

97.              Angled Derivative Approximation, Wayne State University, Mathematics Colloquium, March 20, 2006.

 

98.              Hyperbolic Heat Conduction, Mathematics Department Research Seminar, University of Michigan-Flint, March 24, 2006.

 

99.              Cornucop-e-a: The Horn of Plent-e, Mathematics Department Research Seminar, University of Michigan-Flint, April 7, 2007.

 

100.          Supervising Undergraduate Research in Applied Mathematics, Annual Meeting of MAA (Michigan Section), Calvin College, May 6, 2006.

 

101.          What Does fxx fyy–f2xy>0  Mean?,  Mathematics Department Research Seminar, University of Michigan-Flint, September 15, 2006.

 

102.          What Does fxx fyy–f2xy>0 Really Mean?,  Mathematics Department Research Seminar, University of Michigan-Flint, November 10, 2006.

 

103.          Equilateral Eigenvalues I: Dirichlet Problem, Mathematics Department Research Seminar, University of Michigan-Flint, January 19, 2007.

 

104.          Equilateral Eigenvalues II: Neumann Problem, Mathematics Department Research Seminar, University of Michigan-Flint, February 2, 2007.

 

105.          Equilateral Eigenvalues III: Robin Problem, Mathematics Department Research Seminar, University of Michigan-Flint, February 16, 2007.

 

106.          Equilateral Eigenvalues IV: The Absorbing Boundary Condition, Mathematics Department Research Seminar, University of Michigan-Flint, April 13, 2007.

 

107.          A Tale of Two Ellipsoids, Annual Meeting of MAA (Michigan Section), University of Michigan-Dearborn, May 5, 2007.

 

108.          Prelude to The Mathematical Secrets of the Octatonic Scale, Flint Math Circle, Kettering University,  May 24, 2007.

 

109.          The Mathematical Secrets of the Octatonic Scale, Flint Math Circle, Kettering University,  June 7, 2007.

 

110.          On Concentration and Inertia Hyperellipsoids, Mathematics Department Research Seminar, University of Michigan-Flint, October 5, 2007.

 

111.          A Geometric Property of the Octatonic Scale, Mathematics Department Research Seminar, University of Michigan-Flint, January 11, 2008.

 

112.          On the Eigenstructure of a Complex Sturm-Liouville Problem, Mathematics Department Research Seminar, University of Michigan-Flint, February 15, 2008.

 

113.          Equilateral Eigenvalues V: The Impedance Boundary Condition, Mathematics Department Research Seminar, University of Michigan-Flint, February 22, 2008.

 

114.          Spectral Structure of the Equilateral Triangle, WSEAS American Conference on Applied Mathematics, Harvard University, March 25, 2008 (Invited Plenary Lecture).

 

115.          The Impedance Boundary Condition for the Equilateral Triangle, WSEAS American Conference on Applied Mathematics, Harvard University, March 25, 2008.

 

116.          fxx fyy–f2xy>0 à la Cauchy, Annual Meeting of MAA (Michigan Section), Grand Valley State University,  May 3, 2008.

 

117.          On Polygons with Trigonometric Eigenfunctions, Annual Meeting of MAA (Michigan Section), Central Michigan University,  May 9, 2009.

 

Sponsored Research Contracts

 

  • Computational Techniques for Exponential Splines.  Contract DE-AC02-76ER03077.  U.S. Department of Energy, Division of Basic Energy Sciences, Applied Mathematical Sciences Program, 1981.

 

  • Applications of Exponential Splines in Computational Fluid Dynamics.  NASA Grants Nos.  NGT-33-016-800 and NGT-33-016-201, 1981.

 

  • Design Studies of Near Infrared Tunable Broadband Frequency Shifter.  MIT Lincoln Laboratory, BX-1464, 1987.

 

  • Roentgen Stereofluorogrammetry of the Human Knee, McLaren Regional Medical Center & The McLaren Foundation, 2000.

 

 

Professional Activities

 

  • MAA Northeastern Section Program Committee - 1981.

 

  • Curriculum Committee - Mathematics (Town of Manchester, CT) - 1982.

 

  • Reviewer - Journal of Computational Physics - 1982 to 1988.

 

  • Reviewer - COMPEL - 1984 to 1989.

 

  • Reviewer - Journal of Electromagnetic Waves and Applications - 1987 to present.

 

  • Reviewer - IEEE Transactions on Antennas and Propagation, 1989 to present.

 

  • Hartford Graduate Center - Adjunct Faculty Advisory Committee - 1985.

 

  • Chairman and Organizer of the Minisymposium on Numerical Methods in Semiconductor Device Simulation, SIAM Fall Meeting, Tempe, AZ, October 28-30, 1985.

 

  • UTC Numerical Methods Colloquium Coordinator, 1984.

 

  • UTRC Computational Mathematics Seminar Series Co-organizer, 1985.

 

  • SIAM Representative to Joint AMS-MAA-SIAM Committee on Employment Opportunities, 1987-1989 (Chairman 1988).
  • Hartford Graduate Center - Adjunct Faculty Promotion Committee - 1988 to 1989.

 

  • UTC Representative to Joint Army/Navy/Air Force/NASA Scattering Code Consortium Working Group, 1988 to 1989.

 

  • Organizer and Chairman of Special Session on New Vistas in Computational Electromagnetics, Progress in Electromagnetics Research Symposium, Cambridge, MA, July 25-26, 1989.     (invited)

 

  • Alternate Member of State of Connecticut Board of Governors of Higher Education Advisory Committee on Accreditation, 1990-1993.

 

  • Invited Lecturer at Computer Law Section of Connecticut Bar Association, December 5, 1990.

 

  • Invited Lecturer at Workshop on Reliable Large Scale Scientific Computation, Scientific Computation Research Center, Rensselaer Polytechnic Institute, December 11-12, 1990.

 

  • Served as expert panel member to review candidates for position of Director of Information Systems, City of Hartford, December 13, 1990.

 

  • Organizer of Special Session on Computational Electromagnetics-Periodic Structures, Progress in Electromagnetics Research Symposium, July 1991. (Invited)

 

  • Organizer of Special Session on Dirichlet/Delaunay Tessellations, 13th IMACS World Congress on Computation and Applied Mathematics, July 1991. (Invited)

 

  • Reviewer - Journal of Computational and Applied Mathematics.

 

  • Reviewer - Proceedings of Conference on Applied Mathematics, 1997.

 

  • Participant in MAA High School Visiting Lecturer Program, 1997-present.

 

  • Department Liaison to Mathematical Association of America, 1997-1999.

 

  • Presider at Student Presentation Session - Michigan Chapter of MAA Annual Meeting, Wayne State University, May 3, 1997.

 

  • Reviewer - American Mathematical Monthly.

 

  • Reviewer - Journal of the Acoustical Society of America.
  • Secretary, Great Lakes Section of SIAM, 1998-2000.

 

  • Organizer and Chairperson of Great Lakes Section of SIAM Forum on Numerical Methods for Partial Differential Equations.

 

  • Faculty Advisor to Michigan Epsilon Chapter of Kappa Mu Epsilon, 1997-2003.

 

  • Organizing Committee, NUMPDES, 1998.

 

  • Editor of NUMPDES Proceedings.

 

  • Session Chairperson: Biology II, SIAM Annual Meeting, Toronto, July 17, 1998. (Invited)

 

  • Session Chairperson: Differential and Difference Equations, 15th Annual Conference On Applied Mathematics (CAM 99), February 13, 1999.  (Invited)

 

  • Organizing Committee, NUMPDES 2, 1999.

 

  • Editor of NUMPDES 2 Proceedings.

 

  • Reviewer for CAM Proceedings (97, 98, 99, 01).

 

  • Vice President, Great Lakes Section of SIAM, 2000-2002.

 

  • Organizing Committee, NUMPDES 2000.

 

  • Editor of NUMPDES 2000 Proceedings.

 

  • Organizing Committee, NUMPDES 2001.

 

  • Editor of NUMPDES 2001 Proceedings.

 

  • Faculty Advisor to Epsilon Iota A & B Chapters of Delta Tau Delta.

 

  • Adopt-A-School (Durant-Tuuri-Mott) – 2001.

 

  • Reviewer – Computers and Mathematics with Applications.

 

  • Reviewer – Applied Mathematics Letters.

 

  • MI-MAA Distinguished Teaching Award Committee – 2005, 2006, 2007 (Chairman 2006 & 2007).

 

  • Reviewer – International Journal of Mathematics and Mathematical Sciences.

 

  • Reviewer – Statistical Papers.

 

  • Session Chairman, Michigan Undergraduate Mathematics Conference, University of Michigan-Flint, October 22, 2005.

 

  • Reviewer – Mathematical Intelligencer.

 

  • Editorial Board – Applied Mathematical Sciences.

 

  • Reviewer – College Mathematics Journal (Classroom Capsules).

 

  • Editorial Board – The Open Applied Mathematics Journal.

 

  • Editorial Board – The Open Applied Mathematics Letters.

 

  • Editorial Board – The Open Applied Mathematics Reviews.

 

  • Editorial Advisory Board – SJI Journal of Mathematics, Statistics and Allied Fields.

 

  • Session Chair: Differential Equations and Applications, WSEAS Conference on Applied Mathematics, Harvard University, March 25, 2008.

 

  • Editorial Board – International Journal of Computers.

 

  • Editorial Board – International Journal of Systems Applications, Engineering & Development.

 

  • Reviewer – Numerical Algorithms.

 

  • External Reviewer (Promotion) – University of Michigan-Flint.

 

  • Reviewer – The Pentagon.

 

  • External Examiner (Ph.D. Thesis) – University of Mauritius.

 

 

Professional Memberships

 

  • Mathematical Association of America (MAA)

 

  • MAA Michigan Section

 

  • Society for Industrial and Applied Mathematics (SIAM)

 

  • SIAM Great Lakes Section

 

  • American Mathematical Society (inactive)

 

  • National Council of Teachers of Mathematics (inactive)

 

  • New York Academy of Sciences (inactive)

 

  • American Association for the Advancement of Science (inactive)

 

  • Mathematical Association (inactive)

 

  • Irish Mathematical Society (inactive)