Numerical solution of Poisson's equation for rapidly varying driving functions

DOI10.1016/0021-9991(89)90190-3zbMath0693.65069OpenAlexW2035523182MaRDI QIDQ908667

N. E. Zubov

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-9991(89)90190-3

zbMATH Keywords

samplingPoisson's equationaliasing errorsfast Fourier transform algorithmGibb's oscillationsideal low-pass filtersampled and filtered signal

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for trigonometric approximation and interpolation (65T40) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (2)

Nonlinear oscillations in a discrete diffusive neutral logistic equation ⋮ A subprogram for direct solution of Poisson equation in cylindrically symmetric geometry

Cites Work

• Direct solution of Poisson's equation in cylindrically symmetric geometry: A fast algorithm
• Use of fast Fourier transforms for solving partial differential equations in physics
• A Fast Direct Solution of Poisson's Equation Using Fourier Analysis
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