Sparse Grids and Applications - Munich 2012
Sparse grids have gained increasing interest in recent years for the numerical treatment of high-dimensional problems. Whereas classical numerical discretization schemes fail in more than three or four dimensions, sparse grids make it possible to overcome the “curse” of dimensionality to some degree...
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| Format: | Electronic eBook |
| Language: | English |
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Cham :
Springer International Publishing : Imprint: Springer,
2014.
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| Series: | Lecture Notes in Computational Science and Engineering,
97 |
| Subjects: | |
| Online Access: | Full Text via HEAL-Link |
Table of Contents:
- Gerrit Buse, Dirk Pfl¨uger, and Riko Jacob: Efficient Pseudorecursive Evaluation Schemes for Non-Adaptive Sparse Grids
- Oliver G. Ernst and Bj¨orn Sprungk: Stochastic Collocation for Elliptic PDEs with Random Data – The Lognormal Case
- Michael Griebel and Helmut Harbrecht: On the Convergence of the Combination Technique
- Michael Griebel and Jan Hamaekers: Fast Discrete Fourier Transform on Generalized Sparse Grids
- Michael Griebel and Jens Oettershagen: Dimension-adaptive Sparse Grid Quadrature for Integrals with Boundary Singularities
- Max Gunzburger, Clayton G. Webster, and Guannan Zhang: An Adaptive Wavelet Stochastic Collocation Method for Irregular Solutions of Partial Differential Equations with Random Input Data
- Brendan Harding and Markus Hegland: Robust Solutions to PDEs with Multiple Grids
- Riko Jacob: Efficient Regular Sparse Grid Hierarchization by a Dynamic Memory Layout
- Valeriy Khakhutskyy and Dirk Pflüger: Alternating Direction Method of Multipliers for Hierarchical Basis Approximators
- Christoph Kowitz and Markus Hegland: An Opticom Method for Computing Eigenpairs
- Benjamin Peherstorfer, Fabian Franzelin, Dirk Pfl¨uger, and Hans-Joachim Bungartz: Classification with Probability Density Estimation on Sparse Grids
- Bettina Schieche and Jens Lang: Adjoint Error Estimation for Stochastic Collocation Methods
- Sebastian Ullmann and Jens Lang: POD-Galerkin Modeling and Sparse-Grid Collocation for a Natural Convection Problem with Stochastic Boundary Conditions
- Matthias Wong and Markus Hegland: Opticom and the Iterative Combination Technique for Convex Minimisation. .
