UID:
almahu_9949341625602882
Format:
VIII, 264 p. 58 illus., 44 illus. in color.
,
online resource.
Edition:
1st ed. 2021.
ISBN:
9783030813628
Series Statement:
Lecture Notes in Computational Science and Engineering, 144
Content:
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.
Note:
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.
In:
Springer Nature eBook
Additional Edition:
Printed edition: ISBN 9783030813611
Additional Edition:
Printed edition: ISBN 9783030813635
Additional Edition:
Printed edition: ISBN 9783030813642
Language:
English
DOI:
10.1007/978-3-030-81362-8
URL:
https://doi.org/10.1007/978-3-030-81362-8
