On the convergence of a factorized vector finite difference scheme.
Sur la convergence des schémas aux différences finies pour des équations elliptiques du quatrième ordre avec des solutions irrégulières. (Convergence of finite difference schemes for fourth order elliptic equations with irregular solutions).
On the convergence of a multicomponent alternating direction difference scheme.
On the convergence of a modified block SOR algorithm.
On the convergence of multicomponent three level alternating direction difference scheme.
On the method of fictitious domains for a fourth order quasilinear elliptic equation. (Sur la méthode des domaines fictifs pour une équation elliptique quasilinéaire du quatrième ordre.)
Some convergence rate estimates for finite difference schemes.
Interpolation of function spaces and the convergence rate estimates for the finite difference method.
Multipliers in Sobolev spaces and exact convergence rate estimates for the finite-difference schemes
In this paper we present some recent results concerning convergence rate estimates for finite-difference schemes approximating boundary-value problems. Special attention is given to the problem of minimal smoothness of coefficients in partial differential equations necessary for obtaining the results.
On the Convergence of Finite-Difference Schemes for Parabolic Equations with Variable Coefficients.
Aппроксимация обобщенных решений с помощью конечных разностей
On the Estimates of the Convergence Rate of the Finite Difference Schemes for the Approximation of Solutions of Hyperbolic Problems
On the Estimates of the Convergence Rate of the Finite Difference Schemes for the Approximation of Solutions of Hyperbolic Problems, II Part
Analysis and numerical approximation of a parabolic-hyperbolic transmission problem
In this paper we investigate a mixed parabolic-hyperbolic initial boundary value problem in two disconnected intervals with Robin-Dirichlet conjugation conditions. A finite difference scheme approximating this problem is proposed and analyzed. An estimate of the convergence rate is obtained.
Application of Interpolation Theory to the Analysis of the Convergence Rate for Finite Difference Schemes of Parabolic Type
Existence Result for the Displacement Field of Elastic Body
Converegence of a Finite Difference Method for the Heat Equation - Interpolation Technique
Convergence of a Finite Difference Method for the Third BVP for Poisson's Equation
Preface
About some types of boundary value problems with interfaces
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