Method of fast expansions for solving nonlinear differential equations

DOI10.1134/S0965542514010060zbMath1313.65332MaRDI QIDQ2940349

A. D. Chernyshov

Publication date: 26 January 2015

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

convergence rateFourier seriesnonlinear integrodifferential equationfast expansion

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Numerical methods for trigonometric approximation and interpolation (65T40)

Related Items (4)

Gadolin problem of assembling a prestressed two-layer pipe ⋮ On calculating the technological operation of the shrink fit assembly of cylindrical parts ⋮ Investigation of the errors of fast trigonometric interpolation in solving the problem of stresses in a bar ⋮ Fast expansion method for evaluating definite integrals with a variable upper limit and a composite or implicitly defined integrand

Cites Work

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• Sharp estimates for the convergence rate of double Fourier series in terms of orthogonal polynomials in the space L 2((a, b) × (c, d); p(x)q(y))
• Sharp estimates for the convergence rate of Fourier series in terms of orthogonal polynomials in L 2((a, b), p(x))
• Coupling of substructures for dynamic analyses.

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