Abstract
Sparse grids have become a versatile tool for a vast range of applications reaching from interpolation and numerical quadrature to data-driven problems and uncertainty quantification. We review four selected real-world applications of sparse grids: financial product pricing with the Black-Scholes model, interactive exploration of simulation data with sparse-grid-based surrogate models, analysis of simulation data through sparse grid data mining methods, and stability investigations of plasma turbulence simulations.
Original language | English (US) |
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Pages (from-to) | 47-77 |
Number of pages | 31 |
Journal | Numerical Mathematics |
Volume | 8 |
Issue number | 1 |
DOIs | |
State | Published - 2015 |
Keywords
- Sparse grids
- adaptivity
- combination technique
- hierarchical decomposition
ASJC Scopus subject areas
- Modeling and Simulation
- Control and Optimization
- Computational Mathematics
- Applied Mathematics