Implicit-Explicit Runge--Kutta Schemes for Hyperbolic Systems and Kinetic Equations in the Diffusion Limit
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Publication:4917124
DOI10.1137/110842855zbMath1264.65150arXiv1110.4375OpenAlexW2050260002MaRDI QIDQ4917124
Sebastiano Boscarino, Lorenzo Pareschi, Giovanni Russo
Publication date: 29 April 2013
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1110.4375
stabilityconvection-diffusion equationnumerical examplesstiff systemstransport equationsmethods of linesIMEX Runge-Kutta methodshyperbolic conservation laws with sources
Nonlinear parabolic equations (35K55) Hyperbolic conservation laws (35L65) 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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Numerical methods for stiff equations (65L04)
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