On stability issues for IMEX schemes applied to 1D scalar hyperbolic equations with stiff reaction terms

DOI10.1090/S0025-5718-2011-02463-4zbMath1246.35130OpenAlexW2015847453MaRDI QIDQ3094282

Rosa Donat, Inmaculada Higueras, Anna Martínez-Gavara

Publication date: 24 October 2011

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

Full work available at URL: https://doi.org/10.1090/s0025-5718-2011-02463-4

zbMATH Keywords

invariant regionsstiff source termsRunge-Kuttahigher order IMEX scheme

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Stability and convergence of numerical methods for ordinary differential equations (65L20) 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)

Related Items (14)

A posteriori analysis of an IMEX entropy-viscosity formulation for hyperbolic conservation laws with dissipation ⋮ Implicit-explicit relaxation Runge-Kutta methods: construction, analysis and applications to PDEs ⋮ A unsplitting finite volume method for models with stiff relaxation source terms ⋮ Bound-preserving modified exponential Runge-Kutta discontinuous Galerkin methods for scalar hyperbolic equations with stiff source terms ⋮ Numerical solution of a spatio-temporal predator-prey model with infected prey ⋮ A posteriori error estimation for multi-stage Runge-Kutta IMEX schemes ⋮ Numerical solution of a spatio-temporal gender-structured model for hantavirus infection in rodents ⋮ A new finite volume approach for transport models and related applications with balancing source terms ⋮ Strong-stability-preserving additive linear multistep methods ⋮ Non-monotonic traveling wave and computational solutions for gas dynamics Euler equations with stiff relaxation source terms ⋮ Optimal monotonicity-preserving perturbations of a given Runge-Kutta method ⋮ A posteriori error analysis of IMEX multi-step time integration methods for advection-diffusion-reaction equations ⋮ Numerical solution of a multi-class model for batch settling in water resource recovery facilities ⋮ Regularized Nonlinear Solvers for IMEX Methods Applied to Diffusively Corrected Multispecies Kinematic Flow Models

Uses Software

• HE-E1GODF

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