Marchuk identity-type second order difference schemes of 2-d and 3-d elliptic problems with intersected interfaces
Ivanka Tr. Angelova, Lubin G. Vulkov (2007)
Kragujevac Journal of Mathematics
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Displaying similar documents to “Difference methods for the Darboux problem for functional partial differential equations”
Marchuk identity-type second order difference schemes of 2-d and 3-d elliptic problems with intersected interfaces
On some new generalizations of Ostrowski integral inequality.
Zhongxue, Lü, Hongzheng, Xie (2002)
International Journal of Mathematics and Mathematical Sciences
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Special finite-difference approximations of flow equations in terms of stream function, vorticity and velocity components for viscous incompressible liquid in curvilinear orthogonal coordinates
Harijs Kalis (1993)
Commentationes Mathematicae Universitatis Carolinae
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The Navier-Stokes equations written in general orthogonal curvilinear coordinates are reformulated with the use of the stream function, vorticity and velocity components. The resulting system id discretized on general irregular meshes and special monotone finite-difference schemes are derived.
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Chatfield, J.A. (1978)
International Journal of Mathematics and Mathematical Sciences
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On a -order system of Lyness-type difference equations.
Papaschinopoulos, G., Schinas, C.J., Stefanidou, G. (2007)
Advances in Difference Equations [electronic only]
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A Pfaffian-Hafnian analogue of Borchardt's identity.
Ishikawa, Masao, Kawamuko, Hiroyuki, Okada, Soichi (2005)
The Electronic Journal of Combinatorics [electronic only]
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New error inequalities for the Lagrange interpolating polynomial.
Ujević, Nenad (2005)
International Journal of Mathematics and Mathematical Sciences
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Some fast finite-difference solvers for Dirichlet problems on special domains
Ta Van Dinh (1982)
Aplikace matematiky
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The author proves the existence of the multi-parameter asymptotic error expansion to the usual five-point difference scheme for Dirichlet problems for the linear and semilinear elliptic PDE on the so-called uniform and nearly uniform domains. This expansion leads, by Richardson extrapolation, to a simple process for accelerating the convergence of the method. A numerical example is given.