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Titlebook: Analysis and Numerics for Conservation Laws; Gerald Warnecke Book 2005 Springer-Verlag Berlin Heidelberg 2005 astrophysics.calculus.comput

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The Role of the Jacobian in the Adaptive Discontinuous Galerkin Method for the Compressible Euler E and adaptive mesh refinement. In particular, we show that the (stationary) compressible Euler equations can efficiently be solved by the Newton method. Full quadratic Newton convergence is achieved on higher order elements as well as on locally refined meshes.
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Hyperbolic GLM Scheme for Elliptic Constraints in Computational Electromagnetics and MHD,icular constraints. The central idea of our divergence correction scheme is the implementation of the physically consistent counter terms to Maxwell and . equations, for the restoration of the charge conservation laws. The underlying idea has been verified by numerical experiments for Maxwell-Vlasov and shallow water . systems.
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Teachers and Technology: Looking Forward,ntegrals of the kinetic phase density. (ii) Decomposition of the evolution into periods of free flight, which are interrupted by update times. (iii) At the update times the data are refreshed by the Maximum Entropy Principle.
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Matthew R. Bennett,Marcin Budkaitation processes in water. Due to the highly dynamical, unsteady processes under consideration we use an adaptive FV scheme for the computations to resolve accurately all physically relevant effects. The results are validated by comparison with tube experiments.
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Gerald WarneckeNew results in major area of partial differential equations
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