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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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,Uniformly Second Order Convergent Schemes for Hyperbolic Conservation Laws Including Leonard’s Appration laws can be established while high order accuracy is achieved including at critical points. Our method can be described as a modification of TVD schemes which preserves the .. stability; entropy convergence is achieved by addition of an extra limiting mechanism which preserves accuracy.
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A Stability Analysis of a Eulerian Method for Some Surface Gravity Wave Problems,ving boundary is described by means of N “Eulerian” points. Part of a stability analysis of the system has been carried out with respect to equilibrium solutions, periodic solutions, and numerical solutions. Numerical experiments with the system have . disclosed unprovoked saw-tooth instabilities, w
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On the Finite Velocity of Wave Motion Modelled by Nonlinear Evolution Equations,ms by a certain perturbation scheme permitting to determine eigenvalues which serve as a basis for a moving frame. Such a procedure leads to the construction of evolution equations describing single waves with a certain accuracy. The final wave velocity is then determined from the evolution equation
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Multigrid Methods for the Solution of Porous Media Multiphase Flow Equations,olvers. The IMPES method is implicit in pressure and explicit in saturation. The simultaneous solution (SS) method is a linearized fully implicit method. Both methods relied on special interpolation operators for multigrid transfers based on the discretized differential equation. This provided a met
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A standard model of generic rotational degeneracy,reates a specific kind of degeneracy: under natural genericity assumptions it is found to have a unique stable centered solution. This result, which holds locally near degenerate points in state space, applies to important examples from continuum mechanics. In sec.3 of the present report we will see
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