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Academics - Mathematics and Computer Science Faculty & Staff

Academics - Mathematics and Computer Science Faculty & Staff

Chad Westphal

Professor of Mathematics & Computer Science, Dept Chair
Picture of Westphal, Chad

CONTACT:

Goodrich Hall 208
765-361-6101
westphac@wabash.edu

Professor Westphal has been at Wabash since 2004 and teaches in the Mathematics and Computer Science Department. His primary research interest is in the development of efficient numerical methods for problems in continuum mechanics, an area that is at the intersection of mathematics, computer science, and physics. It's perhaps no surprise that his favorite courses to teach are also in the area of applied and computational mathematics. Across campus he has been involved in the pre-engineering program at Wabash, various undergraduate research activities, and a host of mathematics related student activities. In his free time, professor Westphal can be found reading, juggling, skateboarding, mountain biking, or hanging out with his wife and two kids. Check out his personal webpage for more info.

EDUCATION

* Ph.D. Applied Mathematics, University of Colorado, Boulder, 2004
* M.S. Applied Mathematics, University of Tulsa, 2000
* B.S. Engineering Physics and Mathematics, Oral Roberts University, 1998

RECENT COURSE OFFERINGS

* MAT 111 - Calculus I
* MAT 112 - Calculus II
* MAT 223 - Linear Algebra
* MAT 224 - Differential Equations
* MAT 324 - Partial Differential Equations
* MAT/CSC 337 - Numerical Analysis
* MAT 344 - Complex Analysis
* CSC 111 - Intro to Programming
* CSC 211 - Data Structures
* CSC/MAT/PHY 235 - Stochastic Simulation

RECENT PUBLICATIONS

* "A Newton Div-Curl Least-Squares Finite Element Method for the Elliptic Monge-Amp\`ere Equation," Comp. Meth. Appl. Math., 19-3, pp. 631-643, 2019.

* "Adaptively Weighted Least-Squares Finite Element Methods For Partial Differential Equations with Singularities," (with B. Hayhurst, M. Keller, C. Rai, and X. Sun), CAMCoS, 13-1, pp. 1-25, 2018.
 
* "FOSLL* for Nonlinear Partial Differential Equations,"} (with E. Lee and T.A. Manteuffel), SIAM J. Sci. Comput., 37-5, pp. S503-S525, 2015.

* "An Adaptively Weighted Galerkin Finite Element Method For Boundary Value Problems," (with Y. Sun), CAMCoS, 10-1, pp. 27-41, 2015.

* "A Weighted Least Squares Finite Element Method for Elliptic Problems With Degenerate and Singular Coefficients," (with S. Bidwell and M. Hassell), Math. Comp., 82, 672-688, 2013.

* "Multiscale Adaptively Weighted Least Squares Finite Element Methods for Convection Dominated PDEs." (with Y. Sun and B. Kraynik), Involve, 5-1, pp. 39-49, 2012.

* "Ethics for Undergraduate Researchers," (with M. Axtell), Notices of the AMS, 59(3),  2012.

* "An Adaptive Mixed Least-Squares Finite Element Method for Viscoelastic Fluids of Oldroyd Type," (with Z. Cai), J. Non-Newton. Fluid. Mech., 159, pp. 72-80, 2009.

* "A Weighted H(div) Least-Squares Method for Second-Order Elliptic Problems," (with Z. Cai), SIAM J. Numer. Anal., 46, pp. 1640-1651, 2008.

* "Weighted-Norm First-Order System Least Squares for Problems with Three Dimensional Edge Singularities," (with E. Lee and T.A. Manteuffel), SIAM J. Numer. Anal., 46, pp. 1619-1639, 2008.

* "A Least-Squares Finite-Element Method for Viscoelastic Fluids," Proc. Appl. Math. Mech., 7(1), 1025101-2, 2007.

* "Teaching Time Savers: Encouraging Contact Early in the Semester," MAA FOCUS, 27(6), 2007. 

* "Weighted-Norm First-Order System Least Squares (FOSLS) for Problems with Corner Singularities," (with E. Lee and T.A. Manteuffel), SIAM J. Numer. Anal., 44, pp. 1974-1996, 2006.

* ``First-Order System Least Squares for Geometrically Nonlinear Elasticity," (with T.A. Manteuffel, S.F. McCormick and J.G. Schmidt), SIAM J. Numer. Anal., 44, pp. 2057-2081, 2006.