Fast spectrally-accurate solution of variable-coefficient elliptic problems

Strain, John

doi:10.1090/S0002-9939-1994-1216825-6

Fast spectrally-accurate solution of variable-coefficient elliptic problems
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by John Strain

Proc. Amer. Math. Soc. 122 (1994), 843-850

DOI: https://doi.org/10.1090/S0002-9939-1994-1216825-6

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Abstract:

A simple, efficient, spectrally-accurate numerical method for solving variable-coefficient elliptic partial differential equations in periodic geometry is described. Numerical results show that the method is efficient and accurate even for difficult problems including convection-diffusion equations. Generalizations and applications to phase field models of crystal growth are discussed.

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