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- W3212672767 endingPage "1542" @default.
- W3212672767 startingPage "1519" @default.
- W3212672767 abstract "Global spectral methods offer the potential to compute solutions of partial differential equations numerically to very high accuracy. In this work, we develop a novel global spectral method for linear partial differential equations on cubes by extending ideas of Chebop2 [Townsend and Olver, J. Comput. Phys., 299 (2015)] to the three-dimensional setting utilizing expansions in tensorized polynomial bases. Solving the discretized PDE involves a linear system that can be recast as a linear tensor equation. Under suitable additional assumptions, the structure of these equations admits for an efficient solution via the blocked recursive solver [Chen and Kressner, Numer. Algorithms, 84 (2020)]. In the general case, when these assumptions are not satisfied, this solver is used as a preconditioner to speed up computations." @default.
- W3212672767 created "2021-11-22" @default.
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- W3212672767 creator A5084601962 @default.
- W3212672767 date "2022-07-06" @default.
- W3212672767 modified "2023-09-30" @default.
- W3212672767 title "Fast global spectral methods for three-dimensional partial differential equations" @default.
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- W3212672767 doi "https://doi.org/10.1093/imanum/drac030" @default.
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