High-Order Finite-Difference Methods for Poisson's Equation

DOI10.2307/2005914zbMath0297.65057OpenAlexW4229618438MaRDI QIDQ4051528

H. J. van Linde

Publication date: 1974

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://www.rug.nl/research/portal/en/publications/highorder-finitedifference-methods-for-poissons-equation(014bdfb3-8370-4564-ae7f-72d9d6936b24).html

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Rate of convergence, degree of approximation (41A25) Finite difference methods for boundary value problems involving PDEs (65N06) General theory of difference equations (39A05)

Related Items (4)

Monotonicity of some perturbations of irreducibly diagonally dominant \(M\)-matrices ⋮ The Shortley-Weller embedded finite-difference method for the 3D Poisson equation with mixed boundary conditions ⋮ Poisson equations in irregular domains with Robin boundary conditions -- solver with second-order accurate gradients ⋮ Solving Poisson-type equations with Robin boundary conditions on piecewise smooth interfaces

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