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

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Numerics for Magnetoplasmadynamic Propulsion, accelerators. These accelerators can be used for interplanetary spaceflight missions because of their high specific impulse and high thrust density..Calculations show in agreement with the experiment that a primary reason for plasma instabilities at high current settings — which are limiting the op

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High-resolution Simulation of Detonations with Detailed Chemistry,roximation of realistic detonations is extremely demanding, because a wide range of different scales need to be resolved. This paper describes an entire solution strategy for the Euler equations of thermally perfect gas-mixtures with detailed chemical kinetics that is based on a highly adaptive fini

cogent

Tidious

Riemann Problem for the Euler Equation with Non-Convex Equation of State including Phase TransitionHere we outline the basic construction principles of this Riemann solver employing a general equation of state that takes negative nonlinearity and phase transition into account. This exact Riemann solver is a useful validation tool for numerical schemes, in particular, when applied to the aforement

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Radiation Magnetohydrodynamics: Analysis for Model Problems and Efficient 3d-Simulations for the Fuhe sun‘s atmosphere. From the mathematical point of view the equations constitute an instance of a system of non-local hyperbolic balance laws. We have developed and implemented numerical methods in three space dimensions on the basis of a finite volume scheme that allow the efficient approximation

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Hyperbolic Systems and Transport Equations in Mathematical Biology,ls. They base on Brownian motion, which is characterized by one single parameter (diffusion coefficient). In particular for moving bacteria and (slime mold) amoebae, detailed information on individual movement behavior is available (speed, run times, turn angle distributions). If such information is

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Travelling Waves in Systems of Hyperbolic Balance Laws,e first part we show how waves with oscillatory tails can emerge from the combination of a strictly hyperbolic system of conservation laws and a source term possessing a stable line of equilibria. Two-dimensional manifolds of equilibria can lead to Takens-Bogdanov bifurcations without parameters. In