The Gauss Center Research in Multiscale Scientific Computation∗
نویسنده
چکیده
The recent research of the author and his collaborators on multiscale computational methods is reported, emphasizing main ideas and inter-relations between various fields, and listing the relevant bibliography. The reported areas include: top-efficiency multigrid methods in fluid dynamics; atmospheric data assimilation; PDE solvers on unbounded domains; wave/ray methods for highly indefinite equations; many-eigenfunction problems and ab-initio quantum chemistry; fast evaluation of integral transforms on adaptive grids; multigrid Dirac solvers; fast inverse-matrix and determinant updates; multiscale Monte-Carlo methods in statistical physics; molecular mechanics (including fast force summation, fast macromolecular energy minimization, Monte-Carlo methods at equilibrium and the combination of small-scale equilibrium with large-scale dynamics); image processing (edge detection and segmentation); and tomography.
منابع مشابه
Multiscale Scienti c Computation : Six Year Research
The Gauss Center research on multiscale computational methods is reported, emphasizing main ideas and interrelations between various elds, and listing the relevant bibliography. The reported areas include: top-eeciency multigrid methods in uid dynamics; atmospheric ows and data assimilation; feedback optimal control; PDE solvers on unbounded domains; wave/ray methods for highly indeenite equati...
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