Mathematics & Computing Science
Dr. Paul Muir
• B.Sc. Saint Mary’s University
Introduction to Computer Science, Introductory Calculus, Linear Algebra, Numerical Analysis, Algorithm Analysis, and Numerical Software
– Father William Stewart S.J. Medal for Excellence in
Teaching, Saint Mary’s University
Essentially all areas of science and engineering have seen major growth over the last few decades in the use of computer and mathematical based models of complex phenomenon. Typical models that are sufficiently realistic lead to complicated systems of mathematical equations that must be treated using computer based techniques.
Dr. Muir’s research is in numerical computing; it involves the development and analysis of mathematical theory, algorithms and software for the treatment mathematical models of complex phenomenon. His specialties include the numerical solution of ordinary differential equations, with emphasis on boundary value ordinary differential equations and Runge-Kutta methods, and the adaptive method-of-lines solution of partial differential equations.
– Doctoral Dissertation Award, Canadian Applied
Dr. Muir is the co-author of the software packages MIRKDC and BVP_SOLVER, for systems of boundary value ordinary differentialequations, and EPDCOL, BACOL, and BACOLR for the numerical solution of systems of parabolic partial differential equations. Because the software is developed for fairly general classes of mathematical equations, it can often be used in the analysis of complex systems from wide variety of application domains. Dr. Muir has worked with researchers