Spring 2015
ACMS 60-790-01: Numerical Analysis II
Class time: MWF 2:00 - 2:50pm.
Classroom: Hayes Healy Center 229
Office hours: W 4:00pm - 5:00pm, HH242
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
TVD RKDG method (II)
C.-W. Shu. Discontinuous Galerkin Methods: General Approach and Stability
Numerical Methods for Solving NS Equations