Stability analysis and error estimate of the explicit single-step time-marching discontinuous Galerkin methods with stage-dependent numerical flux parameters for a linear hyperbolic equation in one dimension
DOI10.1007/s10915-024-02621-2zbMATH Open1546.6508MaRDI QIDQ6594661
Chi-Wang Shu, Yuan Xu, Qiang Zhang
Publication date: 28 August 2024
Published in: Journal of Scientific Computing (Search for Journal in Brave)
stability analysisdiscontinuous Galerkin methoderror estimatehyperbolic equationexplicit single step time marchingstage-dependent numerical flux parameters
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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for PDEs and systems of PDEs with constant coefficients (35E15)
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