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An Adaptive Wavelet Method for Solving High-Dimensional Elliptic PDEs

✍ Scribed by Tammo Jan Dijkema; Christoph Schwab; Rob Stevenson

Publisher
Springer
Year
2009
Tongue
English
Weight
823 KB
Volume
30
Category
Article
ISSN
0176-4276

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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 H 2 (I ) on a closed interval I. By using the