A family of third-order parallel splitting methods for parabolic partial differential equations

DOI10.1080/00207169808804672zbMath0908.65086OpenAlexW2034781484MaRDI QIDQ4392336

Malik Shahadat Ali Taj, E. H. Twizell

Publication date: 1998

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169808804672

zbMATH Keywords

convergenceheat equationparallel computationfinite differencesmethod of linessplitting methodsimplicit time-stopping methods

Mathematics Subject Classification ID

Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Parallel numerical computation (65Y05) 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 (3)

Numerical solution of a parabolic equation subject to specification of energy. ⋮ Third-order methods for first-order hyperbolic partial differential equations ⋮ Numerical methods for heat equation with variable coefficients

Cites Work

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• Second-order, \(L_ 0\)-stable methods for the heat equation with time-dependent boundary conditions
• Parallel LOD methods for second order time dependent PDEs
• Diagonal Padé Approximations for Initial Value Problems
• The Extrapolation of First Order Methods for Parabolic Partial Differential Equations, II
• A Scheme for Parallelizing Certain Algorithms for the Linear Inhomogeneous Heat Equation
• On parallel algorithms for semidiscretized parabolic partial differential equations based on subdiagonal Padé approximations
• Attainable order of rational approximations to the exponential function with only real poles
• The Extrapolation of First Order Methods for Parabolic Partial Differential Equations. I

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