Sparse Grids and Applications - Munich 2018

Sparse Grids and Applications - Munich 2018

Pflueger, Dirk; Garcke, Jochen; Bungartz, Hans-Joachim

Springer Nature Switzerland AG

03/2022

264

Dura

Inglês

9783030813611

15 a 20 dias

576

Descrição não disponível.
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.
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sparse grids;high-dimensional approximation;efficient data structures and algorithms;uncertainty quantification;parameterized partial differential equations;partial differential equations;numerical quadrature