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- W4297511842 abstract "This paper studies the Cauchy problem for variable coefficient weakly hyperbolic first order systems of partial differential operators. The hyperbolicity assumption is that for each $t, x$ the principal symbol is hyperbolic. No hypothesis is imposed on lower order terms. For coefficients and Cauchy data sufficiently Gevrey regular the Cauchy problem has a unique sufficiently Gevrey regular solution. We prove stability and error estimates for the spectral Crank-Nicholson scheme. Approximate solutions can be computed with accuracy $epsilon$ in the supremum norm with cost growing at most polynomially in $epsilon^{-1}$. The proofs use the symmetrizers from [2]." @default.
- W4297511842 created "2022-09-29" @default.
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- W4297511842 date "2019-11-05" @default.
- W4297511842 modified "2023-09-24" @default.
- W4297511842 title "A Discrete Algorithm for General Weakly Hyperbolic Systems" @default.
- W4297511842 doi "https://doi.org/10.48550/arxiv.1911.02135" @default.
- W4297511842 hasPublicationYear "2019" @default.
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