Adaptive Methods Exploring Intrinsic Sparse Structures of Stochastic Partial Differential Equations
Many physical and engineering problems involving uncertainty enjoy certain low-dimensional structures, e.g., in the sense of Karhunen-Loeve expansions (KLEs), which in turn indicate the existence of reduced-order models and better formulations for efficient numerical simulations. In this thesis, we...
Internet
https://thesis.library.caltech.edu/7207/1/MulinCheng2013Thesis.pdfCheng, Mulin (2013) Adaptive Methods Exploring Intrinsic Sparse Structures of Stochastic Partial Differential Equations. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/V638-V403. https://resolver.caltech.edu/CaltechTHESIS:09182012-175436855 <https://resolver.caltech.edu/CaltechTHESIS:09182012-175436855>