Convergence of finite difference schemes applied to the Cauchy problems of quasi-linear partial differential equations of the normal form

DOI10.1007/978-981-10-6409-8_6zbMath1382.65276OpenAlexW2768946652MaRDI QIDQ1696864

Nobuyuki Higashimori, Yuusuke Iso, Hiroshi Fujiwara

Publication date: 15 February 2018

Full work available at URL: https://doi.org/10.1007/978-981-10-6409-8_6

zbMATH Keywords

stabilityconvergencenumerical examplefinite difference methodCauchy problemsemi-discretemultiple-precision arithmeticquasilinear first-order equationunstable scheme

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

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