Emile B. Ader

Analysis of ADER and ADER-WAF schemes

We study stability properties and truncation errors of the finite-volume ADER schemes on structured meshes as applied to the linear advection equation with constant coefficients in one-, twoand threespatial dimensions. Stability of linear ADER schemes is analysed by means of the von Neumann method. For nonlinear schemes, we deduce the stability region from numerical experiments. The truncation ...

ADER-DG - Analysis, further Development and Applications

After introducing the Discontinuous Galerkin (DG) method a detailed misfit analysis on its numerical approximation is performed. We investigate the accuracy of the scheme, the element type (tetrahedrons and hexahedrons), the spatial sampling of the computational domain and the number of propagated wavelengths. As the error norm we chose a time-frequency representation, which illustrates the tim...

Bob Ader on Placebos & Psychosomatic Disease

Introduction to Emile Durkheim’s “Anti-Semitism and Social Crisis”∗

Emile Durkheim’s “Antisémitisme et crise sociale,” written in 1899 during the Dreyfus Affair in France, is introduced. The introduction summarizes the principal contributions that “Antisémitisme et crise sociale” makes to the sociology of antiSemitism, relates those contributions to Durkheim’s broader theoretical assumptions and concerns, situates his analysis of anti-Semitism in its social and...

Adaptive ADER Methods Using Kernel-Based Polyharmonic Spline WENO Reconstruction

An adaptive ADER finite volume method on unstructured meshes is proposed. The method combines high order polyharmonic spline WENO reconstruction with high order flux evaluation. Polyharmonic splines are utilised in the recovery step of the finite volume method yielding a WENO reconstruction that is stable, flexible and optimal in the associated Sobolev (BeppoLevi) space. The flux evaluation is ...