Sparse Grids and Applications - Munich 2018

1. Auflage 2021
ISBN: 978-3-030-81361-1
Verlag: Springer International Publishing

Buch, Englisch, Band 144, 264 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 576 g

Reihe: Lecture Notes in Computational Science and Engineering

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 papers from the proceedings of the fifth workshop on sparse grids and applications, and demonstrates once again the importance of this numerical discretization scheme. The articles present recent advances in the numerical analysis of sparse grids in connection with a range of applications including uncertainty quantification, plasma physics simulations, and computational chemistry, to name but a few.

Zielgruppe

Research

Autoren/Hrsg.

Bungartz, Hans-Joachim

Pflüger, Dirk

Garcke, Jochen

Fachgebiete

• Mathematik | Informatik EDV | Informatik Professionelle Anwendung Computersimulation & Modelle, 3-D Graphik
• Mathematik | Informatik EDV | Informatik Informatik Mathematik für Informatiker
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen
• Technische Wissenschaften Technik Allgemein Modellierung & Simulation
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis

Inhaltsverzeichnis

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.