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

100%

Jovanović B.

Banach Center Publications

1994

tom 29

nr 1

165-173

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.

Analysis and numerical approximation of a parabolic-hyperbolic transmission problem

63%

Jovanović B., Vulkov L.

Open Mathematics

2012

tom 10

nr 1

73-84

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.

Ograniczanie wyników

1 Banach Center Publications

1 Open Mathematics

2 Jovanović B.

1 Vulkov L.

1 2012

1 1994

Wyniki wyszukiwania

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

Analysis and numerical approximation of a parabolic-hyperbolic transmission problem