Strong-norm error estimates for the projective-difference method for parabolic equations with modified Crank-Nicolson scheme

DOI10.1023/B:MATN.0000009023.01722.00zbMath1110.65045OpenAlexW1973623083MaRDI QIDQ869765

V. V. Smagin

Publication date: 9 March 2007

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:matn.0000009023.01722.00

zbMATH Keywords

convergenceGalerkin methoderror estimatesparabolic equationseparable Hilbert spacestrong-norm estimate

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) 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) Error bounds for numerical methods for ordinary differential equations (65L70) Linear differential equations in abstract spaces (34G10)

Related Items (2)

Strong-norm convergence of the errors of the projective-difference method with the Crank-Nicolson scheme in time for a parabolic equation with a periodic condition on the solution ⋮ On the rate of convergence of projection-difference methods for smoothly solvable parabolic equations

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