High Order Finite Difference Methods

Manuscript

High order summation by parts implicit difference operators for wave problems (submitted)

Slide

• HOFD_slide_mhchen.pdf (part of a short course given in NCTU, 2/13/08-2/15/08
• Slides of the talk given in NUK (3/10/08) and NSYSU (3/25/08)

Sample Code

• sample.zip
• wave.zip
• DG_advection.zip

Internet Resources

• Numerical Computing with MATLAB
• Flaherty's Course Notes : Computational Linear Algebra, ODE, PDE, Finite Element Analysis.
• Website of Douglas Arnold:
       Lecture Notes (Numerical Analysis), Some disasters attributable to bad numerical computing
• Website of Yousef Saad: Iterative methods for sparse linear systems
• Finite Difference and Spectral Methods for Ordinary and Partial Differential Equations by Lloyd N. Trefethen
• Website of Randall J. LeVeque:  Lecture Notes of "Finite Difference Methods for Differential Equations"(ps.gz)