The solution of elliptic partial differential equations by a new block over-relaxation technique

DOI10.1080/00207168208803287zbMath0475.65065OpenAlexW2042938365WikidataQ126255250 ScholiaQ126255250MaRDI QIDQ3930578

M. J. Biggins, David J. Evans

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1080/00207168208803287

zbMATH Keywords

SORsparse linear systemsblock over-relaxation techniquecyclic Chebyshev semi- iterative methodexplicit 4-point blockimplicit line and 2-line blocks

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (11)

An efficient four points modified explicit group poisson solver ⋮ Explicit group over-relaxation methods for solving elliptic partial differential equations ⋮ EXPLICIT DE-COUPLED GROUP ITERATIVE METHODS AND THEIR PARALLEL IMPLEMENTATIONS ⋮ A Parallel four points modified explicit group algorithm on shared memory multiprocessors ⋮ Explicit group iterative methods for solving elliptic partial differential equations in 3-space dimensions ⋮ Alternating group explicit (AGE) iterative methods ⋮ A new parallel iterative algorithm for solving 2D poisson equation ⋮ The four point explicit decoupled group (EDG) Method: a fast poisson solver ⋮ Preconditioned explicit block simultaneous iterative methods ⋮ Efficient hybrid group iterative methods in the solution of two-dimensional time fractional cable equation ⋮ Explicit group versus implicit line iterative methods

Cites Work

• On Two-line iterative methods for the Laplace and biharmonic equations
• ``Multi-line iterative methods for elliptic difference equations and fundamental frequencies
• Successive peripheral over-relaxation and other block methods
• A Method of Block Iteration
• A Method of Normalized Block Iteration
• Unnamed Item
• Unnamed Item

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