Well-posedness of the difference schemes of the high order of accuracy for elliptic equations

DOI10.1155/DDNS/2006/75153zbMath1102.65085OpenAlexW2012536476MaRDI QIDQ2491480

Allaberen Ashyralyev, Pavel E. Sobolevskii

Publication date: 29 May 2006

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/126824

zbMATH Keywords

Banach spaceill-posed problempositive operatortwo-step difference schemes

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Numerical solutions to equations with linear operators (65J10) Linear differential equations in abstract spaces (34G10) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (7)

Well-Posedness in Hölder Spaces of Elliptic Differential and Difference Equations ⋮ Asymptotics of parabolic Green’s functions on lattices ⋮ A note on the Bitsadze-Samarskii type nonlocal boundary value problem in a Banach space ⋮ On Bitsadze-Samarskii type nonlocal boundary value problems for elliptic differential and difference equations: well-posedness ⋮ Discrete maximal regularity of an implicit Euler-Maruyama scheme with non-uniform time discretisation for a class of stochastic partial differential equations ⋮ On a difference scheme of fourth order of accuracy for the Bitsadze–Samarskii type nonlocal boundary value problem ⋮ Numerical solution of a source identification problem: almost coercivity

Cites Work

• Well-posedness of difference elliptic equation
• Well-posedness of parabolic difference equations. Transl. from the Russian by A. Iacob
• Well-posed solvability of the boundary value problem for difference equations of elliptic type
• On Well-Posedness of the Nonlocal Boundary Value Problems for Elliptic Equations
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