Increasing the real stability boundary of explicit methods

DOI10.1016/0898-1221(90)90046-MzbMath0711.65068OpenAlexW2093031030MaRDI QIDQ922646

B. P. Sommeijer

Publication date: 1990

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(90)90046-m

zbMATH Keywords

algorithmnumerical examplesmethod of linesexplicit Runge-Kutta methodsmultistep methodreal stability boundary

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Initial value problems for second-order parabolic equations (35K15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (6)

A High-Order Asymptotic-Preserving Scheme for Kinetic Equations Using Projective Integration ⋮ Numerical stability analysis of an acceleration scheme for step size constrained time integrators ⋮ Telescopic projective integration for linear kinetic equations with multiple relaxation times ⋮ A high-order relaxation method with projective integration for solving nonlinear systems of hyperbolic conservation laws ⋮ A Micro-Macro Acceleration Method for the Monte Carlo Simulation of Stochastic Differential Equations ⋮ Accuracy analysis of acceleration schemes for stiff multiscale problems

Cites Work

• Stability of explicit time discretizations for solving initial value problems
• Predictor-corrector Methods with Improved Absolute Stability Regions
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