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DR. BRIAN J. MCCARTINCurriculum
Vita Address Department of
Mathematics Phone: (810) 762-7802 Fax: (810) 762-9796 E-Mail:
bmccarti@kettering.edu Internet:
http://www.kettering.edu/~bmccarti |
Education
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.
Associate
Professor of Applied Mathematics Taught courses in Applied Mathematics and
Computational Physics.
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).
Consultant Provided
consultation to Computational Mathematics Group.
Adjunct
Associate Professor in Computer Science Courses
in Stochastic Processes, Numerical Analysis, Analysis of Algorithms,
Theoretical Computer Science, and Electromagnetics were taught.
Part
Time Lecturer in Computer Science A course
in Numerical Analysis was taught.
Lecturer
in Mathematics
Courses in Mathematical and Numerical Analysis were taught.
Adjunct
Mathematics Faculty Courses in Applied Mathematics, Numerical
Analysis, and Linear Algebra were taught.
Instructor
of Mathematics Lower division mathematics courses were
taught.
Senior
Research Mathematician Research was focused
on computational geometry.
Assistant
Research Scientist Performed research in Computational Fluid
Dynamics.
Scientific Analyst A wide variety of engineering problems were
solved both by applying existing
numerical methods and by developing new techniques as needed.
Instructor
of Mathematics Lower division mathematics courses were
taught.
Graduate
Teaching Assistant Courses in calculus and differential
equations were taught.
Undergraduate
Work-Study Program Graded papers for courses in mathematics and
mathematical economics. Operated URI
Academic Computer.
Honors and Awards
1988
URSI Meeting,
·
Invited
Lecturer and Participant at Workshop on Computational Electromagnetics,
Institute for Computer Applications in Science and Engineering,
June
12-16, 1995.
·
Distinguished
Visiting Professor of Applied Mathematics, Department of Mathematical Sciences,
New Jersey Institute of Technology, March 1997.
PUBLICATIONS
1.
The Power Method and Some of its Ramifications,
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,
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
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
25. Solution of Complex Helmholtz Equations in
Arbitrary Geometries,
Proceedings of
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
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 Elec