Convergence Rate of Galerkin Method for a Certain Class of Nonlinear Operator-Differential Equations

DOI10.1080/01630561003757728zbMath1219.65050OpenAlexW2162987597MaRDI QIDQ3578016

Polina Vinogradova

Publication date: 13 July 2010

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

Full work available at URL: https://doi.org/10.1080/01630561003757728

zbMATH Keywords

rate of convergenceCauchy problemHilbert spaceinitial value problemGalerkin approximationparabolic partial differential equationdifferential functional equationnonlinear termorthogonal system of eigenfunctions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear differential equations in abstract spaces (34G20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical solutions to equations with nonlinear operators (65J15) Nonlinear evolution equations (47J35) Numerical solutions to abstract evolution equations (65J08)

Related Items (4)

On an iteration method for a nonlinear differential-operator equation ⋮ Galerkin method for a third-order differential-operator equation ⋮ One projection method for linear third order equation ⋮ Asymptotic Estimate of a Petrov - Galerkin Method for Nonlinear Operator-Differential Equation

Cites Work

• Projection Method for Cauchy Problem for an Operator-Differential Equation
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Convergence Rate of Galerkin Method for a Certain Class of Nonlinear Operator-Differential Equations