The solution of periodic parabolic equations by the coupled alternating group explicit (cage) iterative method

DOI10.1080/00207169008803879zbMath0703.65050OpenAlexW2132077569WikidataQ126256717 ScholiaQ126256717MaRDI QIDQ3482772

David J. Evans

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1080/00207169008803879

zbMATH Keywords

parallel computerexplicit algorithmperiodic parabolic equationsalternating group explicit iterative method

Mathematics Subject Classification ID

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) Iterative numerical methods for linear systems (65F10) Parallel numerical computation (65Y05) Initial value problems for second-order parabolic equations (35K15)

Related Items (9)

THE COUPLED REDUCED ALTERNATING GROUP EXPLICIT (CRAGE) METHOD∗ ⋮ Parallel strategies for linear systems of equations ⋮ Parallel strategies for linear systems of equations ⋮ The cage-galerkin method for solving the 2-point boundary value problem ⋮ A single sweep AGE algorithm on a variable mesh based on off-step discretization for the solution of nonlinear Burgers' equation ⋮ A combined approach using coupled reduced alternating group explicit (CRAGE) algorithm and sixth order off-step discretization for the solution of two point nonlinear boundary value problems ⋮ Highly accurate two parameter CAGE parallel algorithms for non-linear singular two point boundary value problems ⋮ A single sweep AGE algorithm based on off-step discretization for the solution of viscous Burgers' equation on a variable mesh ⋮ The numerical solution of the telegraph equation by the alternating group explicit (AGE) method

Uses Software

• CAGE

Cites Work

• The Numerical Solution of Parabolic and Elliptic Differential Equations
• Group explicit iterative methods for solving large linear systems

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