Compatible convergence estimates in the method of refinement by higher-order differences
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Publication:2345839
DOI10.1134/S0012266115010103zbMath1320.65155OpenAlexW2001767185MaRDI QIDQ2345839
B. G. Midodashvili, G. K. Berikelashvili
Publication date: 21 May 2015
Published in: Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0012266115010103
Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06)
Related Items (3)
On increasing the convergence rate of difference solution to the third boundary value problem of elasticity theory ⋮ Method of corrections by higher order differences for Poisson equation with nonlocal boundary conditions ⋮ A highly accurate difference method for approximating the solution and its first derivatives of the Dirichlet problem for Laplace's equation on a rectangle
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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