Spectral Methods on Arbitrary Grids
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Stable and spectrally accurate numerical methods are constructed on arbitrary grids for partial differential equations. These new methods are equivalent to conventional spectral methods but do not rely on specific grid distributions. Specifically, we show how to implement Legendre Galerkin, Legendre collocation, and Laguerre Galerkin methodology on arbitrary grids. Carpenter, Mark H. and Gottlieb,
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Stable and spectrally accurate numerical methods are constructed on arbitrary grids for partial differential equations. These new methods are equivalent to conventional spectral methods but do not rely on specific grid distributions. Specifically, we show how to implement Legendre Galerkin, Legendre collocation, and Laguerre Galerkin methodology on arbitrary grids. Carpenter, Mark H. and Gottlieb, David Unspecified Center NAS1-19480; AF-AFOSR-0090-93; N00014-91-J-4016; NSF DMS-92-11820; RTOP 505-90-52-01...
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