Titlebook: Recent Developments in the Numerics of Nonlinear Hyperbolic Conservation Laws; Lectures Presented a Rainer Ansorge,Hester Bijl,Thomas Sonar

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On the Construction of Kernel-Based Adaptive Particle Methods in Numerical Flow Simulation, method (FVPM) is used as a prototype. In the FVPM, scattered data approximation algorithms are required in the recovery step of the WENO reconstruction. We first show how kernel-based approximation schemes can be used in the recovery step of particle methods, where we give preference to the radial

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An Assessment of the Efficiency of Nodal Discontinuous Galerkin Spectral Element Methods,y are not necessarily more expensive in practice. The matrix-vector multiplication used to compute the spatial derivatives compares favorably to the work needed to solve the tri-diagonal systems required by compact finite difference schemes. The stiffness of the two approximations is not significant

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Linear and Nonlinear Boundary Conditions for Wave Propagation Problems,dering a specific example of a boundary condition occurring in the modeling of earthquakes. That boundary condition can be formulated in a linear and nonlinear way and implemented in a characteristic and non-characteristic way. These differences are discussed and the implications and difficulties ar

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