scientific article; zbMATH DE number 5661398

zbMath1182.65151MaRDI QIDQ5851407

Jemal L. Rogava, Mikheil Tsiklauri

Publication date: 21 January 2010

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

stabilityerror estimatessemigroupevolution problemheat transfer equationdecomposition schemesexponential and rational splittings

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Heat equation (35K05) 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) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Second-order parabolic equations (35K10)

Related Items (4)

On the stability of the disturbance algorithm for a semi-discrete scheme of solution of an evolutionary equation in the Banach space ⋮ On the perturbation algorithm for the semidiscrete scheme for the evolution equation and estimation of the approximate solution error using semigroups ⋮ Construction and numerical resolution of high-order accuracy decomposition scheme for a quasi-linear evolution equation ⋮ Reduction of a three-layer semi-discrete scheme for an abstract parabolic equation to two-layer schemes. Explicit estimates for the approximate solution error

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