Projection-difference methods for the approximate solution of parabolic equations with nonsymmetric operators

DOI10.1023/A:1019284702149zbMath0996.65084OpenAlexW313151966MaRDI QIDQ5951204

V. V. Smagin

Publication date: 23 October 2002

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1019284702149

zbMATH Keywords

convergenceerror estimatesHilbert spacesCrank-Nicolson schemeabstract linear parabolic equationsimplicit Euler schemenonsymmetric operatorsprojection-difference methods

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solutions to equations with linear operators (65J10) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Linear differential equations in abstract spaces (34G10) Initial value problems for second-order parabolic systems (35K45)

Related Items (9)

Convergence of the Galerkin method of approximate solving parabolic equation with weight integral condition ⋮ Solving a variational parabolic equation with the periodic condition by a projection-difference method with the Crank-Nicolson scheme in time ⋮ Estimates for the accuracy of the projection-difference method for an abstract hyperbolic-parabolic system like systems of thermoelasticity equations ⋮ Root mean square error estimates for the projection-difference method for the approximate solution of a parabolic equation with a periodic condition for the solution ⋮ Convergence of the projection-difference method for the approximate solution of a smoothly solvable parabolic equation with a weighted integral condition ⋮ Error estimate for a symmetric scheme of the projection-difference method for an abstract hyperbolic-parabolic system of the type of systems of thermoelasticity equations ⋮ Convergence of a projection-difference method for the approximate solution of a parabolic equation with a weighted integral condition on the solution ⋮ The convergence rate of a projection-difference method for an abstract coupled problem ⋮ Projection-difference method with the Crank-Nicolson scheme in time for the approximate solution of a parabolic equation with an integral condition for the solution

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