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Multipliers in Sobolev spaces and exact convergence rate estimates for the finite-difference schemes

Boško Jovanović — 1994

Banach Center Publications

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 Estimates of the Convergence Rate of the Finite Difference Schemes for the Approximation of Solutions of Hyperbolic Problems

Boško Jovanović — 1992

Publications de l'Institut Mathématique

On the Estimates of the Convergence Rate of the Finite Difference Schemes for the Approximation of Solutions of Hyperbolic Problems, II Part

Boško Jovanović — 1994

Publications de l'Institut Mathématique

Analysis and numerical approximation of a parabolic-hyperbolic transmission problem

Boško Jovanović; Lubin Vulkov — 2012

Open Mathematics

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

Dejan Bojović; Boško Jovanović — 1997

Matematički Vesnik

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).

Jovanović, Boško — 1989

Publications de l'Institut Mathématique. Nouvelle Série

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.)

Jovanović, Boško S. — 1987

Publications de l'Institut Mathématique. Nouvelle Série

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Currently displaying 1 – 20 of 27

Multipliers in Sobolev spaces and exact convergence rate estimates for the finite-difference schemes

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

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

On the Convergence of Finite-Difference Schemes for Parabolic Equations with Variable Coefficients.

Aппроксимация обобщенных решений с помощью конечных разностей

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.)

Finite Difference Schemes on Nonuniform Meshes for Parabolic Problems With Generalized Solutions

On the Construction of Finite Difference Schemes Approximating Generalized Solutions

On the Convergence of Finite Difference Scheme for Elliptic Equation With Coefficients Containing Dirac Distribution

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