Error estimates for projection-difference methods for differential equations with differentiable operators

DOI10.3103/S1066369X10070017zbMath1208.65134MaRDI QIDQ619451

P. V. Vinogradova

Publication date: 25 January 2011

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

Galerkin methodCauchy problemHilbert spaceconvergence rateoperator equationthree-level schemeorthoprojector

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Error bounds for numerical methods for ordinary differential equations (65L70)

Related Items (1)

Approximate solution of a parabolic equation with the use of a rational approximation to the operator exponential

Cites Work

• Singular perturbation and boundary layer for an abstract Cauchy problem
• Numerical analysis of semilinear stochastic evolution equations in Banach spaces
• Well-posed solvability of the Cauchy problem for difference equations of parabolic type
• Estimates of the rate of convergence of projective and projective-difference methods for weakly solvable parabolic equations
• ON WELL-POSEDNESS OF DIFFERENCE SCHEMES FOR ABSTRACT PARABOLIC EQUATIONS INL^P([0,T;E) SPACES]
• The space-time finite element method for parabolic problems
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