Projection Method for Cauchy Problem for an Operator-Differential Equation

DOI10.1080/01630560902735132zbMath1369.34029OpenAlexW1973370455WikidataQ115303671 ScholiaQ115303671MaRDI QIDQ3615540

Polina Vinogradova, Anatoli Zarubin

Publication date: 20 March 2009

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560902735132

zbMATH Keywords

Galerkin methodCauchy problemHilbert spaceorthogonal projectionoperator equation

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Theoretical approximation of solutions to ordinary differential equations (34A45) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical solutions to equations with linear operators (65J10) Linear differential equations in abstract spaces (34G10)

Related Items (6)

A study of Galerkin method for the heat convection equations. ⋮ On an iteration method for a nonlinear differential-operator equation ⋮ Galerkin method for a third-order differential-operator equation ⋮ Convergence Rate of Galerkin Method for a Certain Class of Nonlinear Operator-Differential Equations ⋮ One projection method for linear third order equation ⋮ A study of Galerkin method for the heat convection equations

Cites Work

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• Singular perturbation and boundary layer for an abstract Cauchy problem
• On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems

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