Dr. Stephen Brill joined the faculty of the Department of Mathematics at Boise State University in 1998. His bachelor's degree in Mathematics and Computer Science is from Middlebury College, and his M.S. and Ph.D. in Mathematical Sciences were both earned at the University of Vermont. His research focuses on the application of mathematical computational methods to water resource and subsurface sciences. In addition to teaching and research, Dr. Brill serves as a reviewer for the journals 'Advances in Water Resources' and 'Numerical Methods for Partial Differential Equations', and for State of Wisconsin Joint Solicitation of Groundwater and Related Research/Monitoring Proposals. He also enjoys his work on the Auxiliary Ski Patrol at Bogus Basin Mountain Recreation Area near Boise.
Articles
Analytical Upstream Collocation Solution of a Quadratically Forced Steady-State Convection-Diffusion Equation (with Eric Smith), International Journal of Numerical Methods for Heat & Fluid Flow (2012)
Purpose – The purpose of this paper is to present the analytical solution to the...
Optimal Hermite Collocation Applied to a One-Dimensional Convection-Diffusion Equation Using an Adaptive Hybrid Optimization Algorithm (with Karen L. Ricciardi), International Journal of Numerical Methods for Heat and Fluid Flow (2009)
Purpose – The Hermite collocation method of discretization can be used to determine highly accurate...
Optimal Collocation Solution of the One-Dimensional Steady-State Convection-Diffusion Equation with Variable Coefficients, International Journal of Computational and Numerical Analysis and Applications (2004)
We study the Hermite collocation solution of the one-dimensional-steady-state convection-diffusion equation with Dirichlet boundary conditions....
Analytical Upstream Collocation Solution of a Forced Steady-State Convection-Diffusion Equation, International Journal of Differential Equations and Applications (2003)
We give herein formulas for the solution of the Hermite collocation discretization of a nonhomogeneous...
Parallel Implementation of the Bi-CGSTAB Method with Block Red–Black Gauss–Seidel Preconditioner Applied to the Hermite Collocation Discretization of Partial Differential Equations (with George F. Pinder), Parallel Computing (2002)
We describe herein the parallel implementation of the Bi-CGSTAB method with a block red–black Gauss–Seidel...
Presentations
A New Basis for the Solution of the One-Dimensional Transport Equation, The XVI International Conference on Computational Methods in Water Resources (2006)
We present a family of functions that satisfy the one-dimensional convection-diffusion equation. This partial differential...