Strong convergence estimates for pseudospectral methods

Wilhelm Heinrichs

Displaying similar documents to “Strong convergence estimates for pseudospectral methods”

Finite-difference preconditioners for superconsistent pseudospectral approximations

Lorella Fatone, Daniele Funaro, Valentina Scannavini (2007)

ESAIM: Mathematical Modelling and Numerical Analysis

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The superconsistent collocation method, which is based on a collocation grid different from the one used to represent the solution, has proven to be very accurate in the resolution of various functional equations. Excellent results can be also obtained for what concerns preconditioning. Some analysis and numerous experiments, regarding the use of finite-differences preconditioners, for matrices arising from pseudospectral approximations of advection-diffusion boundary value problems,...

Estimation of error in approximate numerical integration near a simple pole using Chebyshev points

Subhas Chandra Bose, Madhav Chandra Kundu (1980)

Aplikace matematiky

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In this note quadrature formula with error estimate for functions with simple pole is discussed. Chebyshev points of the second kind are used as the nodes of integration.

On the rate of convergence of a collocation projection of the KdV equation

Henrik Kalisch, Xavier Raynaud (2007)

ESAIM: Mathematical Modelling and Numerical Analysis

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Based on estimates for the KdV equation in analytic Gevrey classes, a spectral collocation approximation of the KdV equation is proved to converge exponentially fast.

Approximation of Burgers' equation by pseudo-spectral methods

Y. Maday, A. Quateroni (1982)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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A study of Galerkin method for the heat convection equations

Polina Vinogradova, Anatoli Zarubin (2012)

Applications of Mathematics

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The paper investigates the Galerkin method for an initial boundary value problem for heat convection equations. New error estimates for the approximate solutions and their derivatives in strong norm are obtained.