Veranstaltungen

A wide variety of processes in science and engineering can be represented by evolutionary Partial Differential Equations (PDEs) which, for realistic situations, must be solved numerically. The most efficient way to compute accurate solutions is by applying high-order numerical methods, as opposed to using low-order methods on very fine meshes. The need for high-order methods is most evident in acoustics, when attempting to evolve weak signals for long distances and for long times, and in turbulence, when attempting to capture small structures on relatively coarse grids. Significant advances have been made in the last two decades on the construction of conservative schemes of high order of accuracy in both space and time. These advances were pioneered by the family of TVD (Total Variation Diminishing) methods, by now a well-established approach that produces relatively simple and practical second-order schemes. To go beyond second-order, a high degree of sophistication is required. 

There are at present several approaches that, at least partially, fulfil some of the basic requirements. Examples include the ENO method and its variant the WENO method, discontinuous Galerkin Finite Element methods, spectral difference methods and the ADER approach.

Themes of the Conference and contributed papers:
Algorithm design, analysis and applications of numerical schemes of accuracy greater than two for partial differential equations, following finite difference, finite volume or finite element approaches. Potential contributors are invited to submit an abstract of no more than two pages in pdf format via the website  HONOM 2017.

The conference is located at the University of Stuttgart, Germany.

The conference is organized by the Institute of Aerodynamics and Gas Dynamics (IAG, SFB 716 subproject B.8).

More information (PDF)