Summation-by-parts and correction procedure via reconstruction

DOI10.1007/978-3-319-65870-4_45zbMath1382.65287OpenAlexW2767997868MaRDI QIDQ1696718

Hendrik Ranocha, Philipp Öffner, Thomas Sonar

Publication date: 15 February 2018

Full work available at URL: https://doi.org/10.1007/978-3-319-65870-4_45

zbMATH Keywords

stabilityconservation lawsBurgers' equationsemidiscretizationdiscontinuous Galerkinsummation-by-parts operatorsflux reconstructionspectral differencespectral volumecorrection procedure

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Hyperbolic conservation laws (35L65) 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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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Entropy conserving and kinetic energy preserving numerical methods for the Euler equations using summation-by-parts operators

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