An Implicit-Explicit Runge--Kutta--Chebyshev Scheme for Diffusion-Reaction Equations
From MaRDI portal
Publication:4652295
DOI10.1137/S1064827503429168zbMath1061.65090MaRDI QIDQ4652295
B. P. Sommeijer, Jan G. Verwer
Publication date: 25 February 2005
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
stabilitycomparison of methodsnumerical examplesGMRESsemidiscretizationRunge-Kutta-Chebyshev methodimplicit-explicit methodparabolic PDEsVODPKstiff diffusion-reaction equations
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for initial value problems involving ordinary differential equations (65L05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)
Related Items
Splitting-methods based on approximate matrix factorization and Radau-IIA formulas for the time integration of advection diffusion reaction PDEs, Two classes of implicit-explicit multistep methods for nonlinear stiff initial-value problems, Stabilized explicit Runge-Kutta methods for multi-asset American options, An iterated Radau method for time-dependent PDEs, Implicit-Explicit Runge-Kutta-Rosenbrock Methods with Error Analysis for Nonlinear Stiff Differential Equations, Parareal algorithms implemented with IMEX Runge-Kutta methods, Discontinuous Galerkin \(h p\)-adaptive methods for multiscale chemical reactors: quiescent reactors, On the asymptotic properties of IMEX Runge-Kutta schemes for hyperbolic balance laws, Extrapolated stabilized explicit Runge-Kutta methods, On stabilized integration for time-dependent PDEs, Mixed-precision explicit stabilized Runge-Kutta methods for single- and multi-scale differential equations, PIROCK: A swiss-knife partitioned implicit-explicit orthogonal Runge-Kutta Chebyshev integrator for stiff diffusion-advection-reaction problems with or without noise, Deferred correction methods for ordinary differential equations, Convergence results for implicit-explicit general linear methods, A new Runge-Kutta-Chebyshev Galerkin-characteristic finite element method for advection-dispersion problems in anisotropic porous media, A fully adaptive explicit stabilized integrator for advection-diffusion-reaction problems, A stiff-cut splitting technique for stiff semi-linear systems of differential equations, Numerical approximation of Turing patterns in electrodeposition by ADI methods, Implicit-explicit predictor-corrector schemes for nonlinear parabolic differential equations, A variable time-step-size code for advection-diffusion-reaction PDEs, A stabilized explicit Lagrange multiplier based domain decomposition method for parabolic problems, Improved Runge-Kutta-Chebyshev methods, A computational model for nanosecond pulse laser-plasma interactions, Partitioned exponential methods for coupled multiphysics systems, Construction of implicit-explicit second-derivative BDF methods, An adaptive finite element semi-Lagrangian implicit-explicit Runge-Kutta-Chebyshev method for convection dominated reaction-diffusion problems, SERK2v2: A new second‐order stabilized explicit Runge‐Kutta method for stiff problems, Stability of nonlinear convection-diffusion-reaction systems in discontinuous Galerkin methods, IMEX Runge-Kutta schemes for reaction-diffusion equations, RKC time-stepping for advection-diffusion-reaction problems, Efficient semi-implicit schemes for stiff systems, The modeling of realistic chemical vapor infiltration/deposition reactors, Self-adaptive time integration of flux-conservative equations with sources, IRKC: an IMEX solver for stiff diffusion-reaction PDEs, An implicit-explicit Runge-Kutta-Chebyshev finite element method for the nonlinear Lithium-ion battery equations, An Eulerian-Lagrangian method for coupled parabolic-hyperbolic equations, Efficient implementation of partitioned stiff exponential Runge-Kutta methods, A CSP and tabulation-based adaptive chemistry model, AMF-Runge-Kutta formulas and error estimates for the time integration of advection diffusion reaction PDEs
Uses Software
