Wavelet algorithms for numerical resolution of partial differential equations
β Scribed by S. Lazaar; P.J. Ponenti; J. Liandrat; Ph. Tchamitchian
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 323 KB
- Volume
- 116
- Category
- Article
- ISSN
- 0045-7825
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β¦ Synopsis
Numerical algorithms for the approximation of non linear partial differential equations are presented. On one hand they are based on adaptive spaces of the approximation provided by wavelets and on the other hand on efficient approximations of evolution operators on these spaces. Numerical experiments are described on 1D test problems.
π SIMILAR VOLUMES
We describe a wavelet collocation method for the numerical solution of partial differential equations which is based on the use of the autocorrelation functions of Daubechie's compactly supported wavelets. For such a method we discuss the application of wavelet based preconditioning techniques along
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nonlinear evolution, and B is the M Ο« N dimensional noise term, which is a functional of , and multiplies an A robust semi-implicit central partial difference algorithm for the numerical solution of coupled stochastic parabolic partial differen-N dimensional real or complex Gaussian-distributed stot