Numerical solution of nonlinear diffusion with finite extinction phenomenon.
Mikula, K. (1995)
Acta Mathematica Universitatis Comenianae. New Series
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Mikula, K. (1995)
Acta Mathematica Universitatis Comenianae. New Series
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Liu, Don, Kuang, Weijia, Tangborn, Andrew (2009)
Advances in Mathematical Physics
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Dehghan, Mehdi (2005)
Mathematical Problems in Engineering
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J. D. Kandilarov (2007)
Kragujevac Journal of Mathematics
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Maria Antonietta Pirozzi (2001)
Rendiconti del Seminario Matematico della Università di Padova
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Kim, Dongjin, Proskurowski, Wlodek (2004)
International Journal of Mathematics and Mathematical Sciences
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Raimund Bürger, Ricardo Ruiz, Kai Schneider, Mauricio Sepúlveda (2008)
ESAIM: Mathematical Modelling and Numerical Analysis
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We present a fully adaptive multiresolution scheme for spatially one-dimensional quasilinear strongly degenerate parabolic equations with zero-flux and periodic boundary conditions. The numerical scheme is based on a finite volume discretization using the Engquist-Osher numerical flux and explicit time stepping. An adaptive multiresolution scheme based on cell averages is then used to speed up the CPU time and the memory requirements of the underlying finite volume scheme, whose...
Emmanuel Audusse, Marie-Odile Bristeau (2003)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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The aim of this paper is to present a finite volume kinetic method to compute the transport of a passive pollutant by a flow modeled by the shallow water equations using a new time discretization that allows large time steps for the pollutant computation. For the hydrodynamic part the kinetic solver ensures – even in the case of a non flat bottom – the preservation of the steady state of a lake at rest, the non-negativity of the water height and the existence of an entropy inequality....
Guevara-Jordan, J.M., Rojas, S., Freites-Villegas, M., Castillo, J.E. (2007)
Advances in Difference Equations [electronic only]
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Dehghan, Mehdi (2002)
Mathematical Problems in Engineering
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