Stability analysis of a difference scheme for the vibration equation with a finite number of degrees of freedom
T. Lewiński (1984)
Applicationes Mathematicae
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T. Lewiński (1984)
Applicationes Mathematicae
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Henryk Leszczyński, Piotr Zwierkowski (2004)
Applicationes Mathematicae
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We consider a generalized 1-D von Foerster equation. We present two discretization methods for the initial value problem and study stability of finite difference schemes on regular meshes.
Matus, P., Zyuzina, E. (2001)
Computational Methods in Applied Mathematics
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Sophie Depeyre (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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We present in this paper a stability study concerning finite volume schemes applied to the two-dimensional Maxwell system, using rectangular or triangular meshes. A stability condition is proved for the first-order upwind scheme on a rectangular mesh. Stability comparisons between the Yee scheme and the finite volume formulation are proposed. We also compare the stability domains obtained when considering the Maxwell system and the convection equation.
Illner, R., Rjasanow, S. (1999)
Documenta Mathematica
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Rolf Jeltsch, Peywand Kiani (1991/92)
Numerische Mathematik
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W. Czernous (2006)
Annales Polonici Mathematici
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Classical solutions of initial boundary value problems are approximated by solutions of associated differential difference problems. A method of lines for an unknown function for the original problem and for its partial derivatives with respect to spatial variables is constructed. A complete convergence analysis for the method is given. A stability result is proved by using differential inequalities with nonlinear estimates of the Perron type for the given operators. ...
Sophie Depeyre (1999)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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T.I. SEIDMAN (1963)
Numerische Mathematik
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Piotr Matus, Dmitry Polyakov (2012)
Publications de l'Institut Mathématique
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R.M.M. Mattheij, U.M. Ascher (1989)
Numerische Mathematik
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Gordeziani, E., Gordeziani, D. (2000)
Bulletin of TICMI
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Ciegis, R., Starikovicius, V. (2001)
Computational Methods in Applied Mathematics
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