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An adaptive high-dimensional stochastic model representation technique for the solution of stochastic partial differential equations JOURNAL ARTICLE published May 2010 in Journal of Computational Physics |
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Path integrals and finite dimensional filters BOOK CHAPTER published 13 July 1995 in Stochastic Partial Differential Equations |
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An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations JOURNAL ARTICLE published May 2009 in Journal of Computational Physics |
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Efficient Numerical Approximations of Tracking Statistical Quantities of Interest From the Solution of High-Dimensional Stochastic Partial Differential Equations REPORT published 29 February 2012 |
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Efficient Numerical Approximations of Tracking Statistical Quantities of Interest From the Solution of High-Dimensional Stochastic Partial Differential Equations REPORT published 29 February 2012 |
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Backward stochastic differential equations and quasilinear partial differential equations BOOK CHAPTER published 13 July 1995 in Stochastic Partial Differential Equations |
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An Adaptive ANOVA Stochastic Galerkin Method for Partial Differential Equations with High-dimensional Random Inputs JOURNAL ARTICLE published January 2024 in Journal of Scientific Computing Research funded by National Natural Science Foundation of China (12071291) | Science and Technology Commission of Shanghai Municipality (20JC1414300) | Natural Science Foundation of Shanghai (20ZR1436200) |
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Auxiliary Results in Partial Differential Equations BOOK CHAPTER published 1976 in Stochastic Differential Equations and Applications |
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A probabilistic graphical model approach to stochastic multiscale partial differential equations JOURNAL ARTICLE published October 2013 in Journal of Computational Physics Research funded by National Science Foundation (NSF) (DMS-1214282) | Office of Science of the US Department of Energy (DE-AC02-05CH11231) | NCSA (TG-DMS090007) |
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Numerical simulations for two‐dimensional stochastic incompressible Navier‐Stokes equations JOURNAL ARTICLE published January 2010 in Numerical Methods for Partial Differential Equations |
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Stochastic Partial Differential Equations: Infinite Mass BOOK CHAPTER published in Stochastic Ordinary and Stochastic Partial Differential Equations |
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Effective Dynamics of Stochastic Partial Differential Equations BOOK CHAPTER published 2014 in Effective Dynamics of Stochastic Partial Differential Equations |
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Stochastic Partial Differential Equations Driven by Lévy Processes BOOK CHAPTER published 2010 in Stochastic Partial Differential Equations |
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Effective Dynamics of Stochastic Partial Differential Equations BOOK CHAPTER published 2014 in Effective Dynamics of Stochastic Partial Differential Equations |
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Stochastic Hyperbolic Equations BOOK CHAPTER published 10 December 2014 in Stochastic Partial Differential Equations |
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Stochastic Parabolic Equations BOOK CHAPTER published 10 December 2014 in Stochastic Partial Differential Equations |
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Solution Bounds for Elliptic Partial Differential Equations via Feynman-Kac Representation JOURNAL ARTICLE published 3 September 2015 in Stochastic Analysis and Applications |
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5. Stochastic Partial Differential Equations BOOK CHAPTER published January 2011 in Taylor Approximations for Stochastic Partial Differential Equations |
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Approximations of Stochastic Partial Differential Equations BOOK CHAPTER published 5 April 2002 in Stochastic partial differential equations and applications |
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Stochastic Partial Differential Equations: Finite Mass and Extensions BOOK CHAPTER published in Stochastic Ordinary and Stochastic Partial Differential Equations |