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Spectral Methods on Arbitrary Grids

✍ Scribed by Mark H. Carpenter; David Gottlieb

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
324 KB
Volume
129
Category
Article
ISSN
0021-9991

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✦ Synopsis

Stable and spectrally accurate numerical methods are constructed on arbitrary grids for partial differential equations. These new meth-need not rely on smooth mappings. In addition, these ''arods are equivalent to conventional spectral methods but do not bitrary-grid spectral techniques'' could be used in conjuncrely on specific grid distributions. Specifically, we show how to tion with multidomain ideas. We focus on formalizing these implement Legendre Galerkin, Legendre collocation, and Laguerre ideas within the context of spectral techniques.

Galerkin methodology on arbitrary grids.

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