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• W4308628159 abstract "Abstract Summation-By-Parts (SBP) methods provide a systematic way of constructing provably stable numerical schemes. However, many proofs of convergence and accuracy rely on the assumption that the SBP operator possesses a particular eigenvalue property. In this note, three results pertaining to this property are proven. Firstly, the eigenvalue property does not hold for all nullspace consistent SBP operators. Secondly, this issue can be addressed without affecting the accuracy of the method by adding a specially designed, arbitrarily small perturbation term to the SBP operator. Thirdly, all pseudospectral methods satisfy the eigenvalue property." @default.
• W4308628159 created "2022-11-13" @default.
• W4308628159 creator A5065747000 @default.
• W4308628159 date "2022-11-09" @default.
• W4308628159 modified "2023-09-30" @default.
• W4308628159 title "On an Eigenvalue Property of Summation-By-Parts Operators" @default.
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• W4308628159 doi "https://doi.org/10.1007/s10915-022-02042-z" @default.
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