Convergence analysis of some tent-based schemes for linear hyperbolic systems

DOI10.1090/mcom/3686zbMath1497.65170arXiv2101.04798OpenAlexW3201798146WikidataQ115546307 ScholiaQ115546307MaRDI QIDQ5029469

Christoph M. Wintersteiger, Joachim Schöberl, Dow Drake, Jay Gopalakrishnan

Publication date: 14 February 2022

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.04798

zbMATH Keywords

spacetimestabilitycausalitysemidiscretediscontinuous Galerkinadvancing fronttent pitchingFriedrichs systemMTP schemeSAT timesteppingTaylor timestepping

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (3)

Tent-pitcher spacetime discontinuous Galerkin method for one-dimensional linear hyperbolic and parabolic PDEs ⋮ On Energy Laws and Stability of Runge--Kutta Methods for Linear Seminegative Problems ⋮ Stability of structure-aware Taylor methods for tents

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