Chapter 2 From Data to Uncertainty: An Efficient Integrated Data-Driven Sparse Grid Approach to Propagate Uncertainty

Chapter 3 Combination Technique Based Second Moment Analysis for Elliptic PDEs on Random Domains

Chapter 4 Adaptive Sparse Grids and Extrapolation Techniques

Chapter 5 A Cache-Optimal Alternative to the Unidirectional Hierarchization Algorithm

Chapter 6 Spatially-Dimension-Adaptive Sparse Grids for Online Learning

Chapter 7 Sparse Grids for the Vlasov–Poisson Equation

Chapter 8 An Adaptive Sparse Grid Algorithm for Elliptic PDEs with Lognormal Diffusion Coefficient

Chapter 9 A New Subspace-Based Algorithm for Efficient Spatially Adaptive Sparse Grid Regression, Classification and Multi-evaluation

Chapter 10 High-Dimensional Stochastic Design Optimization by Adaptive-Sparse Polynomial Dimensional Decomposition

Chapter 11 Efficient Spectral-Element Methods for the Electronic Schrödinger Equation

Chapter 12 A Sparse Grid Method for Bayesian Uncertainty Quantification with Application to Large Eddy Simulation Turbulence Models

Chapter 13 Hierarchical Gradient-Based Optimization with B-Splines on Sparse Grids