On the odd-even hopscotch scheme for the numerical integration of time- dependent partial differential equations

DOI10.1016/0168-9274(87)90011-0zbMath0621.65111OpenAlexW2093574911MaRDI QIDQ1090091

Jan H. M. ten Thije Boonkkamp, Jan G. Verwer

Publication date: 1987

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://ir.cwi.nl/pub/1736

zbMATH Keywords

convection-diffusion equationsvon Neumann stabilityNumerical examplesglobal Richardson extrapolationleapfrog-Du Fort-Frankel methododd-even hopscotch scheme

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12)

Related Items (7)

Time integration of three-dimensional numerical transport models ⋮ The tanh function method for solving some important non-linear partial differential equations ⋮ New stable, explicit, second order hopscotch methods for diffusion-type problems ⋮ The odd-even hopscotch pressure correction scheme for the incompressible Navier-Stokes equations ⋮ Unsteady viscous flow around a circular cylinder found by the Hopscotch scheme on a vector processing machine ⋮ Linear stability of the hopscotch scheme ⋮ On the Fourth-Order Accurate Compact ADI Scheme for Solving the Unsteady Nonlinear Coupled Burgers' Equations

Uses Software

• Hopscotch

Cites Work

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• A comparison of finite element and finite difference solutions of the one- and two-dimensional Burgers' equations
• Asymptotic expansions of the global error of fixed-stepsize methods
• Linear stability of finite difference equations for three-dimensional flow problems
• One-step splitting methods for semi-discrete parabolic equations
• The stability of explicit Euler time-integration for certain finite difference approximations of the multi-dimensional advection-diffusion equation
• Global Extrapolation of a First Order Splitting Method
• Global Error Estimates for Ordinary Differential Equations
• Nonsymmetric Difference Equations
• Hopscotch: a Fast Second-order Partial Differential Equation Solver
• On the Location of Zeros of Certain Classes of Polynomials with Applications to Numerical Analysis
• Some recent methods for the numerical solution of time-dependent partial differential equations
• Hopscotch Difference Methods for Nonlinear Hyperbolic Systems

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