Mean-square estimates for the error of a projection-difference method for parabolic equations

zbMath0993.65104MaRDI QIDQ5954732

V. V. Smagin

Publication date: 13 September 2002

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

zbMATH Keywords

Galerkin methodHilbert spaceerror boundsCrank-Nicolson schemeparabolic equationsprojection-difference methodsmean-square convergence

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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Linear differential equations in abstract spaces (34G10)

Related Items (4)

Approximate solution of a parabolic equation with the use of a rational approximation to the operator exponential ⋮ 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 ⋮ On the rate of convergence of projection-difference methods for smoothly solvable parabolic equations ⋮ Projection-difference method for a linear operator-differential equation

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