Asymptotic Estimate of a Petrov - Galerkin Method for Nonlinear Operator-Differential Equation

DOI10.14529/MMP160402zbMath1431.65076OpenAlexW2559538966MaRDI QIDQ4692054

P. V. Vinogradova, A. M. Samusenko, I. S. Manzhula

Publication date: 26 October 2018

Published in: Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software" (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vyuru340

zbMATH Keywords

Cauchy problemconvergence ratePetrov-Galerkin methodoperator-differential equationorthogonal projection

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solutions to abstract evolution equations (65J08)

Cites Work

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• Error estimates for the Galerkin method as applied to time-dependent equations
• The rate of convergence of projection methods in the eigenvalue problem for equations of special form
• A Petrov-Galerkin method with quadrature for elliptic boundary value problems

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