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Titlebook: Nonlinear Hyperbolic Equations — Theory, Computation Methods, and Applications; Proceedings of the S Josef Ballmann,Rolf Jeltsch Conference

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Simple Stability Criteria for Difference Approximations of Hyperbolic Initial-Boundary Value Probleated with the hyperbolic system ∂u/∂t = A∂u/∂x + Bu + f in the quarter plane x ⩾ 0, t ⩾ 0. With these criteria, stability is easily achieved for a multitude of examples that incorporate and generalize most of the cases studied in recent literature.
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978-3-528-08098-3Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig 1989
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Nonlinear Hyperbolic Equations — Theory, Computation Methods, and Applications978-3-322-87869-4Series ISSN 1612-2909 Series E-ISSN 1860-0824
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Hyperbolic Heat Transfer Problems with Phase Transitions,In this note we consider melt problems for solid heat conductors. The basic conservation law is the balance of energy ., where . is the internal energy density, . the heat flux, and .. the constant mass density of the material in its reference configuration.
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Convexity in Hyperbolic Problems. Application to a Discontinuous Galerkin Method for the Resolution equations, this function can be expressed in a simple form and splitted into a convex function and a concave one, and it is possible to find a polydimensional scheme which generalizes the Courant scheme. Then we present some mono and bidimensional numerical results.
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