Method of corrections by higher order differences for elliptic equations with variable coefficients

DOI10.1515/GMJ-2016-0008zbMath1339.65102OpenAlexW2328030691MaRDI QIDQ292397

Givi Berikelashvili, Bidzina Midodashvili

Publication date: 8 June 2016

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

Full work available at URL: https://doi.org/10.1515/gmj-2016-0008

zbMATH Keywords

difference schemeimprovement of accuracymethod of correctionscompatible estimates of convergence rate

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)

Related Items (1)

On increasing the convergence rate of difference solution to the third boundary value problem of elasticity theory

Cites Work

• On the convergence of difference schemes for the approximation of solutions \(u\in W^ m_ 2 (m>0.5)\) of elliptic equations with mixed derivatives
• Bounds for a class of linear functionals with applications to Hermite interpolation
• A two-stage difference method for solving the Dirichlet problem for the Laplace equation on a rectangular parallelepiped
• Polynomial Approximation of Functions in Sobolev Spaces
• Convergence of Fourth Order Compact Difference Schemes for Three‐Dimensional Convection‐Diffusion Equations
• Some improvements in the use of relaxation methods for the solution of ordinary and partial differential equations
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