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Multi-level Monte Carlo finite volume methods for uncertainty quantification of acoustic wave propagation in random heterogeneous layered medium.

, , and . J. Comput. Phys., (2016)

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Static Load Balancing for Multi-level Monte Carlo Finite Volume Solvers., , and . PPAM (1), volume 7203 of Lecture Notes in Computer Science, page 245-254. Springer, (2011)On Kolmogorov equations for anisotropic multivariate Lévy processes., , and . Finance and Stochastics, 14 (4): 527-567 (2010)High-Dimensional Finite Elements for Elliptic Problems with Multiple Scales., and . Multiscale Modeling & Simulation, 3 (1): 168-194 (2005)p- and hp- Finite Element Methods: Theory and Applications to Solid and Fluid Mechanics. Numerical Mathematics and Scientific Computation Clarendon Press, (2004)Multilevel Monte Carlo FEM for Elliptic PDEs with Besov Random Tree Priors., and . CoRR, (2023)First order k-th moment finite element analysis of nonlinear operator equations with stochastic data., and . Math. Comput., 82 (284): 1859-1888 (2013)Sparse Tensor Discretization of Elliptic sPDEs., , and . SIAM J. Sci. Comput., 31 (6): 4281-4304 (2009)Deep ReLU networks and high-order finite element methods II: Chebyšev emulation., and . Comput. Math. Appl., (2024)Multilevel Markov Chain Monte Carlo for Bayesian Inversion of Parabolic Partial Differential Equations under Gaussian Prior., , and . SIAM/ASA J. Uncertain. Quantification, 9 (2): 384-419 (2021)Exponential Expressivity of ReLUk Neural Networks on Gevrey Classes with Point Singularities., and . CoRR, (2024)