Direct methods of solution of partial differential equations with periodic boundary conditions

DOI10.1016/0378-4754(79)90072-7zbMath0418.65052OpenAlexW2018669293MaRDI QIDQ1131829

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)90072-7

zbMATH Keywords

periodic boundary conditionsdirect methodsrecursive algorithmdiscrete approximationsfast solution methodblock periodic tridiagonal matrixbox integration schemecyclic factorisationGaussian elimination procedurelarge order sparse linear systemsself-adjoint second order elliptic or parabolic partial differential equations

Mathematics Subject Classification ID

Factorization of matrices (15A23) Boundary value problems for second-order elliptic equations (35J25) Initial-boundary value problems for second-order parabolic equations (35K20) Iterative numerical methods for linear systems (65F10) Direct numerical methods for linear systems and matrix inversion (65F05) Orthogonalization in numerical linear algebra (65F25) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (3)

Fast solution of implicit methods for linear hyperbolic equations ⋮ On a new iterative method for solving linear systems and comparison results ⋮ A generalized iterative method and comparison results using projection techniques for solving linear systems

Cites Work

• Unnamed Item
• Iterative methods of solution for the elliptic fourth boundary value problem
• A Fast Direct Solution of Poisson's Equation Using Fourier Analysis
• On Direct Methods for Solving Poisson’s Equations
• The Numerical Solution of the Fourth Boundary Value Problem for Parabolic Partial Differential Equations

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