Spring 2014
ACMS 60-790-01: Numerical Analysis II
Class time: MWF 2:00 - 2:50pm.
Classroom: 105 Pasquerilla Center
Office hours: W 4:00pm - 5:00pm, 174 Hurley
On Stability
David Hoff, STABILITY AND CONVERGENCE OF FINITE DIFFERENCE METHODS FOR SYSTEMS OF
NONLINEAR REACTION-DIFFUSION EQUATIONS, SIAM J. Numer. Anal. 15(6):1978
Eitan Tadmor, A REVIEW OF NUMERICAL METHODS FOR
NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS, Bulletin of the AMS, 49(4):507-554, 2012
W.L. Briggs, V.E. Henson and S.F. McCormick, A Multigrid Tutorial.
Reference Books for FEM
S. Brenner and L. Scott, The Mathematical Theory of Finite Element Methods
K. Eriksson, D. Estep, P. Hansbo, and C. Johnson, Computational Differential Equations, ISBN 0-521-56738-6
F. Brezzi and M. Fortin, Mixed and Hybrid Finite Element Methods
Unified Analysis of DG Methods for Elliptic Problems
An Analysis of Three Different Formulations of the Discontinuous Galerkin Method for Diffusion Equations
Considerations for 2D computer implementation
Numerical Methods for Solving NS Equations