An Implementation of a Class of Stabilized Explicit Methods for the Time Integration of Parabolic Equations

DOI10.1145/355887.355892zbMath0431.65069OpenAlexW2049281908MaRDI QIDQ3868708

Jan G. Verwer

Publication date: 1980

Published in: ACM Transactions on Mathematical Software (Search for Journal in Brave)

Full work available at URL: https://ir.cwi.nl/pub/20662

zbMATH Keywords

numerical resultsparabolic partial differential equationsimplementationsystems of ordinary differential equationssemidiscretization methodexplicit three-step Runge-Kutta methodsFortran version

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Algorithms in computer science (68W99) Method of lines for boundary value problems involving PDEs (65N40)

Related Items (15)

Explicit two-step Runge-Kutta methods ⋮ Comparing time integrators for parabolic equations in two space dimensions with a mixed derivative ⋮ Explicit Stabilized Multirate Method for Stiff Stochastic Differential Equations ⋮ RKC: An explicit solver for parabolic PDEs ⋮ Mixed-precision explicit stabilized Runge-Kutta methods for single- and multi-scale differential equations ⋮ Modeling low Mach number reacting flow with detailed chemistry and transport ⋮ Explicit stabilized multirate method for stiff differential equations ⋮ Optimal explicit stabilized postprocessed \(\tau\)-leap method for the simulation of chemical kinetics ⋮ Numerical integration of semidiscrete evolution systems ⋮ One way traffic of pulses in a neuron ⋮ Improved Runge-Kutta-Chebyshev methods ⋮ Variable-Stepsize Explicit Two-Step Runge-Kutta Methods ⋮ Nerve impulse propagation in a branching nerve system: a simple model ⋮ A class of stabilized three-step Runge-Kutta methods for the numerical integration of parabolic equations ⋮ Explicit Runge-Kutta methods for parabolic partial differential equations

Uses Software

• M3RK

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