An accurate solution of the Poisson equation by the Chebyshev collocation metod

DOI10.1006/jcph.1993.1021zbMath0765.65107OpenAlexW2018211814MaRDI QIDQ1208865

H. Dang-Vu, C. Delcarte

Publication date: 16 May 1993

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.1993.1021

zbMATH Keywords

Poisson equationtest problemChebyshev collocation methodChebyshev pseudospectral approachquasi-tridiagonal systemstruncated double Chebyshev series

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (14)

A spectral collocation method to solve Helmholtz problems with boundary conditions involving mixed tangential and normal derivatives ⋮ Hopf bifurcation and strange attractors in Chebyshev spectral solutions of the Burgers equation ⋮ Haar wavelet approximation for magnetohydrodynamic flow equations ⋮ An accurate solution of the Poisson equation by the Chebyshev-tau method ⋮ Efficient three-dimensional Poisson solvers in open rectangular conducting pipe ⋮ An error minimized pseudospectral penalty direct Poisson solver ⋮ Efficient spectral-Galerkin algorithms for direct solution for second-order differential equations using Jacobi polynomials ⋮ A computational method for solving the branched channel flow problem ⋮ Three-dimensional Poisson solver for a charged beam with large aspect ratio in a conducting pipe ⋮ Parallel 3D Poisson solver for a charged beam in a conducting pipe ⋮ Efficient multi-dimensional solution of PDEs using Chebyshev spectral methods ⋮ Chebyshev polynomial approximation for high‐order partial differential equations with complicated conditions ⋮ Numerical method for solving linear boundary value problems by the Chebyshev \(\tau\)-method ⋮ A direct spectral collocation Poisson solver in polar and cylindrical coordinates

This page was built for publication: An accurate solution of the Poisson equation by the Chebyshev collocation metod