Normalized factorization procedures for the solution of self-adjoint elliptic partial differential equations in three-space dimensions

DOI10.1016/0378-4754(79)90133-2zbMath0419.65064OpenAlexW1982980519MaRDI QIDQ1132518

Elias A. Lipitakis, David J. Evans

Publication date: 1979

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4754(79)90133-2

zbMATH Keywords

boundary value problemelliptic partial differential equationsfinite difference discretizationlarge sparse linear systemsmatrix factorizationfactorization proceduresnumerical solution of difference equations

Mathematics Subject Classification ID

Factorization of matrices (15A23) Iterative numerical methods for linear systems (65F10) Finite difference methods for boundary value problems involving PDEs (65N06) Direct numerical methods for linear systems and matrix inversion (65F05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (7)

Approximate root-free factorization techniques for solving elliptic difference equations in three space variables ⋮ A Distributed Normalized Explicit Preconditioned Conjugate Gradient Method ⋮ A normalized algorithm for the solution of sparse symmetric seven- diagonal linear systems of semi-bandwidths M and P ⋮ Implicit semi-direct methods based on root-free sparse factorization procedures ⋮ Solving linear finite element systems by normalized approximate matrix factorization semi-direct methods ⋮ Generalized extended to the limit sparse factorization techniques for solving unsymmetric finite element systems ⋮ The use of second degree normalized implicit conjugate gradient methods for solving large sparse systems of linear equations

Cites Work

• Unnamed Item
• A normalised algorithm for the solution of symmetric general five-term linear systems of semi-bandwidth M
• A normalized implicit conjugate gradient method for the solution of large sparse systems of linear equations
• Nonlinear partial differential equations in engineering. Vol. II
• Some numerical experiments using Newton's method for nonlinear parabolic and elliptic boundary-value problems

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