A pseudospectral method for two-point boundary value problems

DOI10.1016/0021-9991(90)90246-WzbMath0703.65040OpenAlexW2048688622MaRDI QIDQ916314

S. J. Jacobs

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0021-9991(90)90246-w

zbMATH Keywords

preconditioningdefect correctionpseudospectral collocation methodstability of atmospheric and oceanic flows

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Hydrology, hydrography, oceanography (86A05) Meteorology and atmospheric physics (86A10) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Software, source code, etc. for problems pertaining to ordinary differential equations (34-04)

Related Items (2)

Computing the zeros, maxima and inflection points of Chebyshev, Legendre and Fourier series: solving transcendental equations by spectral interpolation and polynomial rootfinding ⋮ A new algorithm for calculating Adomian polynomials for nonlinear operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Adaptive grid generation
• Spectral methods for problems in complex geometries
• On the estimation of errors propagated in the numerical integration of ordinary differential equations
• The defect correction principle and discretization methods
• Fronts, relaxation oscillations, and period doubling in solid fuel combustion
• A Preconditioning Matrix for the Chebyshev Differencing Operator
• An Adaptive Finite Difference Solver for Nonlinear Two-Point Boundary Problems with Mild Boundary Layers
• Conversion of FFT’s to Fast Hartley Transforms

This page was built for publication: A pseudospectral method for two-point boundary value problems