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Titlebook: Hyperbolic Problems: Theory, Numerics, Applications; Seventh Internationa Rolf Jeltsch,Michael Fey Conference proceedings 1999 Springer Bas

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Wave Propagation Methods for Conservation Laws with Source Terms,e difficult for many numerical methods (e.g., fractional step methods) to capture and maintain. Recently, a .algorithm was developed and used to compute near-steady shallow water flow over variable topography. In this paper we extend this algorithm to near-steady flow of an ideal gas subject to a st
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Stability and Instability of Detonation Waves,curvature effect and induction kinetics. The stability of the plane and the divergent detonation waves were established rigorously when there is no induction-zone. Furthermore, when the wave front has a small positive curvature and when there is an induction-zone behind the shock front, we captured
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Well-Posedness Theory for System of Hyperbolic Conservation Laws,ated issues of the notions of entropy, wave interactions, and nonlinear superpositions. We will also explain various nonlinear functionals which have been constructed to study the wave behaviours: the well-known Glimm’s functional for the study of wave interactions, and more recent ones for the stud
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Mathematical Aspects of Numerical Solution of Hyperbolic Systems,es under vanishing viscosity and dispersion. We discuss these problems in the application to the magnetohydrodynamic equations, nonlinear waves in elastic media, and electromagnetic wave propagation in magnetics.
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