Sparse Grids and Applications - Munich 2018

Sparse grids are a popular tool for the numerical treatment of high-dimensional problems. Where classical numerical discretization schemes fail in more than three or four dimensions, sparse grids, in their different flavors, are frequently the method of choice. This volume of LNCSE presents selected...

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Bibliographic Details
Other Authors: Bungartz, Hans-Joachim (Editor), Garcke, Jochen (Editor), Pflüger, Dirk (Editor)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2021, 2021
Edition:1st ed. 2021
Series:Lecture Notes in Computational Science and Engineering
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • On Expansions and Nodes for Sparse Grid Collocation of Lognormal Elliptic PDEs
  • Sparse Grids Approximation of Goldstone Diagrams in Electronic Structure Calculations
  • Generalized Sparse Grid Interpolation Based on the Fast Discrete Fourier Transform
  • Fast Sparse Grid Operations using the Unidirectional Principle: A Generalized and Unified Framework
  • Propagation of Uncertainties in Density-Driven Flow
  • A Posteriori Error Estimation for the Stochastic Collocation Finite Element Approximation of the Heat Equation with Random Coefficients
  • A Spatially Adaptive Sparse Grid Combination Technique for Numerical Quadrature
  • Hierarchical Extended B-splines for Approximations on Sparse Grids
  • Analysis of Sparse Grid Multilevel Estimators for Multi-dimensional Zakai Equations
  • Efficiently Transforming from Values of a Function on a Sparse Grid to Basis Coefficients
  • A Sparse-Grid Probabilistic Scheme for Approximation of the Runaway Probability of Electrons in Fusion Tokamak Simulation