Three-points interfacial quadrature for geometrical source terms on nonuniform grids Application to finite volume schemes for parameter-dependent differential equations

This paper deals with numerical (finite volume) approximations, on nonuniform meshes, for ordinary differential equations with parameter-dependent fields. Appropriate discretizations are constructed over the space of parameters, in order to guarantee the consistency in presence of variable cells’ si...

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Bibliographic Details
Published in:	Calcolo Vol. 49; no. 3; pp. 149 - 176
Main Authors:	Katsaounis, Theodoros, Simeoni, Chiara
Format:	Journal Article
Language:	English
Published:	Milan Springer Milan 01.09.2012 Springer Verlag
Subjects:	Differential equations Dynamical systems Dynamics Finite element method Mathematical analysis Mathematical models Mathematics Mathematics and Statistics Nonuniform Numerical Analysis Regularity Theory of Computation 65L05 65M08 34A34 34A45 Consistency Nonuniform grids Optimal convergence rates 65L70 Geometrical source terms 65L20 34C60 45J99 Finite volume schemes geometrical source terms finite volume schemes nonuniform grids consistency optimal convergence rates
ISSN:	0008-0624, 1126-5434
Online Access:	Get full text
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