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

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Creatinine-Test

Inclusion of Solutions of Cauchy Problems for Quasilinear Hyperbolic Equations,esents. a method which yields pointwise enclosures of the domain of determinacy.(depending implicitly on .) and of the corresponding solution .,y), ., . ∈.The method has been implemented on a computer using machine interval arithmetic.

SENT

fluffy

Composite Centered Schemes for Multidimensional Conservation Laws,lobal composition of the two, that is by performing cycles consisting of several time steps of the second order method followed by one step of the diffusive method. We show the effectiveness of this approach on some test problems in two and three dimensions.

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烧瓶

Some Analytical Results Concerning the Drift Diffusion Equations for Semiconductor Devices Coupled In this article some analytical results concerning the existence, uniqueness and regularity of solutions to the drift-diffusion equations coupled with Maxwell’s equations are summarized. The considered system consists of nonlinearly coupled hyperbolic and parabolic equations.

COWER

,Well-posedness of a 2 × 2 System of Resonant Conservation Laws,We show existence and uniqueness of solutions to a class of scalar conservation laws where the flux function may depend discontinuously on the space variable. Furthermore we show L. stability in this case. In the special case ., ., we show stability also with respect to the coefficient a.

HARD

独裁政府

evasive

On the Diffusion Limit of a Hyperbolic Relaxation System,We introduce a diffusive scaling to a hyperbolic system with relaxation and prove that, under such a scaling, the solution converges to that of a nonlinear convection-diffusion equation. Using energy estimates, such a limit is justified with the initial data prescribed around a travelling wave solution of the relaxation system.