Stability of the crank-nicolson scheme and maximal regularity for parabolic equations in spaces

DOI10.1080/01630569908816891zbMath0938.65114OpenAlexW2080430936MaRDI QIDQ4257043

Davide Guidetti, Serguei Piskarev

Publication date: 14 September 1999

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

Full work available at URL: https://doi.org/10.1080/01630569908816891

zbMATH Keywords

stabilitydifference schemescounterexampleparabolic equationsCrank-Nicolson method

Mathematics Subject Classification ID

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) Initial value problems for second-order parabolic equations (35K15)

Related Items (8)

Well-posedness of second order evolution equation on discrete time ⋮ Discrete Maximal Parabolic Regularity for Galerkin Finite Element Methods for Nonautonomous Parabolic Problems ⋮ Semilinear functional difference equations with infinite delay ⋮ A-Stable Time Discretizations Preserve Maximal Parabolic Regularity ⋮ Perturbation theory, stability, boundedness and asymptotic behaviour for second order evolution equation in discrete time ⋮ Semilinear evolution equations of second order via maximal regularity ⋮ A perturbation theory for the discrete harmonic oscillator equation ⋮ Semilinear evolution equations on discrete time and maximal regularity

Cites Work

• On real interpolation, finite differences, and estimates depending on a parameter for discretizations of elliptic boundary value problems
• The stability of rational approximations of analytic semigroups
• A Stability Result for Sectorial Operators in Banach Bpaces

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