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Titel:

Sparse Grids: Applications to Multi-dimensional Schroedinger Problems

Dokumenttyp:
sfb report
Autor(en):
Sascha Hilgenfeldt; Robert Balder; Christoph Zenger
Abstract:
Sparse grid methods applied to solve partial differential equations allow for a substantial reduction of numerical effort (to obtain equal error magnitudes) compared to conventional finite element methods. A short introduction to this new approach is given. Using a Ritz-Galerkin method on rectangular sparse grids, stationary Schr\"odinger equations of dimensionality $D\geq2$ are solved numerically for a number of generic problems and the results are compared to exact values, perturbative results...     »
Stichworte:
Schroedinger Equations; Hierarchical Bases; Adaptive Methods; Sparse Grids
Jahr:
1995
Jahr / Monat:
1995-03-00 00:00:00
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