Error analysis of implicit Runge-Kutta methods for quasilinear hyperbolic evolution equations

DOI10.1007/s00211-017-0914-6zbMath1387.65100OpenAlexW4238322158MaRDI QIDQ2413466

Marlis Hochbruck, Roland Schnaubelt, Tomislav Pažur

Publication date: 10 April 2018

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-017-0914-6

zbMATH Keywords

stabilityconvergencewell-posednessMaxwell equationsRunge-Kutta methodshyperbolic equationquasilinear equation

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Abstract hyperbolic equations (35L90) Maxwell equations (35Q61)

Related Items (2)

Exponential Integrators for Quasilinear Wave-Type Equations ⋮ Diagonally implicit Runge-Kutta schemes: discrete energy-balance laws and compactness properties

Uses Software

• RODAS

Cites Work

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