Stability of iterative schemes for nonselfadjoint equations
Murli M. Gupta (1976)
Aplikace matematiky
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Murli M. Gupta (1976)
Aplikace matematiky
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Sophie Depeyre (1999)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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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.
Práger, M., Vitásek, E.
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R. I. Okuonghae, M. N. O. Ikhile (2012)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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This paper considers modified second derivative BDF (MSD-BDF) for the numerical solution of stiff initial value problems (IVPs) in ordinary differential equations (ODEs). The methods are A-stable for step length .