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 s...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Garcke, Jochen (Editor ), Pflüger, Dirk (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edición:1st ed. 2014.
Colección:Lecture Notes in Computational Science and Engineering, 97
Temas:
Mathematics-Data processing.
Computational Mathematics and Numerical Analysis.
Computational Science and Engineering.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.  .

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