On the convergence of a multicomponent alternating direction difference scheme.
Jovanović, Boško (1994)
Publications de l'Institut Mathématique. Nouvelle Série
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Displaying similar documents to “On the convergence of a factorized vector finite difference scheme.”
On the convergence of a multicomponent alternating direction difference scheme.
On the convergence of multicomponent three level alternating direction difference scheme.
Jovanović, Boško S. (1994)
Matematichki Vesnik
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On the convergence of a three-level vector SOR scheme.
Jovanović, B.S. (1995)
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Finite Difference Schemes on Nonuniform Meshes for Parabolic Problems With Generalized Solutions
Boško Jovanović, Peter P. Matus (2000)
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Convergence of a Finite Difference Method for the Third BVP for Poisson's Equation
Boško Jovanović, Branislav Popović (1999)
Matematički Vesnik
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Converegence of a Finite Difference Method for the Heat Equation - Interpolation Technique
Dejan Bojović, Boško Jovanović (1997)
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Generalized Harten formalism and longitudinal variation diminishing schemes for linear advection on arbitrary grids
Bruno Després, Frédéric Lagoutière (2001)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We study a family of non linear schemes for the numerical solution of linear advection on arbitrary grids in several space dimension. A proof of weak convergence of the family of schemes is given, based on a new Longitudinal Variation Diminishing (LVD) estimate. This estimate is a multidimensional equivalent to the well-known TVD estimate in one dimension. The proof uses a corollary of the Perron-Frobenius theorem applied to a generalized Harten formalism.
On the Convergence of Finite Difference Scheme for Elliptic Equation With Coefficients Containing Dirac Distribution
Boško Jovanović, Lubin G. Vulkov (2004)
Matematički Vesnik
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Flow-oriented difference scheme for multidimensional convection-diffusion equation.
Radunović, D. (1995)
Matematichki Vesnik
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Some convergence rate estimates for finite difference schemes.
Jovanović, Boško, Popović, Branislav (1997)
Matematichki Vesnik
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Adaptive finite element relaxation schemes for hyperbolic conservation laws
Christos Arvanitis, Theodoros Katsaounis, Charalambos Makridakis (2001)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We propose and study semidiscrete and fully discrete finite element schemes based on appropriate relaxation models for systems of Hyperbolic Conservation Laws. These schemes are using piecewise polynomials of arbitrary degree and their consistency error is of high order. The methods are combined with an adaptive strategy that yields fine mesh in shock regions and coarser mesh in the smooth parts of the solution. The computational performance of these methods is demonstrated by considering...
Discrete Sobolev inequalities and error estimates for finite volume solutions of convection diffusion equations
Yves Coudière, Thierry Gallouët, Raphaèle Herbin (2001)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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The topic of this work is to obtain discrete Sobolev inequalities for piecewise constant functions, and to deduce error estimates on the approximate solutions of convection diffusion equations by finite volume schemes.
Well-posedness of the boundary value problem for parabolic equations in difference analogues of spaces of smooth functions.
Ashyralyev, A. (2007)
Mathematical Problems in Engineering
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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
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