Invariant imbedding, difference equations, and elliptic boundary value problems

DOI10.1016/S0022-0000(70)80044-7zbMath0213.42501OpenAlexW1981814347MaRDI QIDQ2545050

Edward S. Angel

Publication date: 1970

Published in: Journal of Computer and System Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-0000(70)80044-7

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Cites Work

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• Discrete invariant imbedding and elliptic boundary-value problems over irregular regions
• The diagonal decomposition technique applied to the dynamic programming solution of elliptic partial differential equations
• Factorization of operators. I: Algebraic theory and examples
• Dynamic programming and Gaussian elimination
• The Numerical Solution of Parabolic and Elliptic Differential Equations
• A Method of Normalized Block Iteration
• INVARIANT IMBEDDING AND THE REDUCTION OF TWO-POINT BOUNDARY VALUE PROBLEMS TO INITIAL VALUE PROBLEMS
• Tensor product analysis of partial difference equations

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