adaptive algorithms

A Multiresolution Adaptive Wavelet Method for Nonlinear Partial Differential Equations

Submitted by karelmatous on Mon, 03/21/2022 - 19:54

research

Wavelet

adaptive algorithms

coupled nonlinear PDEs

spacetime

A Multiresolution Adaptive Wavelet Method for Nonlinear Partial Differential Equations

If you are interested in the full lecture on the Multiresolution Adaptive Wavelet Method, I have given The Journal of Computational Physics lecture as the part of the Cassyni project.

https://cassyni.com/events/4ni1VnP47FfgT9ckLdyfN5

Solving Nonlinear PDEs with a priori accuracy using wavelets

Submitted by karelmatous on Fri, 03/02/2018 - 21:06

We present a numerical method which exploits the biorthogonal interpolating wavelet family, and second-generation wavelets, to solve initial–boundary value problems on finite domains. Our predictor-corrector algorithm constructs a dynamically adaptive computational grid with significant data compression, and provides explicit error control. Error estimates are provided for the wavelet representation of functions, their derivatives, and the nonlinear product of functions.

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