The Wavelet Digest Homepage
Return to the homepage
Search the complete Wavelet Digest database
Help about the Wavelet Digest mailing list
About the Wavelet Digest
The Digest The Community
 Latest Issue  Back Issues  Events  Gallery
The Wavelet Digest
   -> Volume 6, Issue 5

Preprint: Spline Wavelet ADI for 2-D Reaction-Diffusion Equations
images/spacer.gifimages/spacer.gif Reply into Digest
Previous :: Next  
Author Message
Wei Cai (

PostPosted: Tue May 06, 1997 10:12 pm    
Subject: Preprint: Spline Wavelet ADI for 2-D Reaction-Diffusion Equations
Reply with quote

#9 Preprint: Spline Wavelet ADI for 2-D Reaction-Diffusion Equations

An Adaptive Spline Wavelet ADI (SW-ADI) Method
Two-Dimensional Reaction-Diffusion Equations

Wei Cai and Wu Zhang

Department of Mathematics
University of North Carolina at Charlotte
Charlotte, NC 28223


We study a Spline Wavelet Alternative Direction Implicit (SW-ADI)
algorithm for solving two-dimensional reaction diffusion
equations. This algorithm is based on a collocation method for PDEs
with a specially designed spline wavelet for the Sobolev space on a
closed interval I. By using the tensor product nature of adaptive
wavelet meshes, we propose a SW-ADI method for two-dimensional
problems. The proposed SW-ADI method is an efficient time dependent
adaptive method with second order accuracy for solutions with
localized phenomena, such as in flame propagations. Issues like new
boundary wavelets for more accurate boundary conditions, adaptive
strategy for two-dimensional meshes, data structure and storage and
implementation details, and numerical results will be discussed.

Instruction to get the paper:

The compressed ps files for the paper and figures can be accessed by
anonymous ftp to in the directory cas/math/wcai. Please
uncompress all files before printing.
All times are GMT + 1 Hour
Page 1 of 1

Jump to: 

disclaimer -
Powered by phpBB

This page was created in 0.025232 seconds : 18 queries executed : GZIP compression disabled