Electronic Resource
Springer
Journal of scientific computing
13 (1998), S. 19-49
ISSN:
1573-7691
Keywords:
wavelets
;
adaptive PDE methods
;
Galerkin methods
Source:
Springer Online Journal Archives 1860-2000
Topics:
Computer Science
Notes:
Abstract We analyze how to solve hyperbolic PDEs with compactly supported orthonormal wavelets adaptively. We use thresholded wavelet expansions of signals and operators. A tree structure is used to represent the signal, and a multidimensional analogue of the fast wavelet transform is used to expand the operators. We solve the advection equation and Burgers' equation on a periodic domain.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1023252610346
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