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Finite-difference solution of Poisson's equation in rectangles of arbitrary proportions

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Publication:1241035
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DOI10.1007/BF01595589zbMath0364.65077MaRDI QIDQ1241035

No author found.

Publication date: 1977

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)



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) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)


Related Items (2)

A discrete isoperimetric inequality on lattices ⋮ Numerical techniques for two-dimensional Laplacian problems



Cites Work

  • Nine-point difference solutions for Poisson's equation
  • Effect of discontinuous boundary conditions on finite-difference solutions
  • A numerical conformal transformation method for harmonic mixed boundary value problems in polygonal domains
  • Stability of a Numerical Solution of Differential Equations—Part II


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