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Adaptive Discontinuous Galerkin Method for Response-Excitation PDF Equations
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Adaptive Discontinuous Galerkin Method for Response-Excitation PDF Equations (2013)Adaptive Discontinuous Galerkin Method fo…New evolution equations for the joint response-excitation probability density function of stochastic solutions to first-order nonlinear PDEs (2012)New evolution equations for t…Adaptive ANOVA decomposition of stochastic incompressible and compressible flows (2011)Adaptive ANOVA decomposition …Multi-element probabilistic collocation method in high dimensions (2009)Multi-element probabilistic c…The multi-element probabilistic collocation method (ME-PCM): Error analysis and applications (2008)The multi-element probabilist…New partial differential equations governing the joint, response–excitation, probability distributions of nonlinear systems, under general stochastic excitation (2008)New partial differential equa…A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data (2008)A Sparse Grid Stochastic Coll…A note on the principle of preservation of probability and probability density evolution equation (2008)A note on the principle of pr…Multi-Element Generalized Polynomial Chaos for Arbitrary Probability Measures (2006)Multi-Element Generalized Pol…An adaptive multi-element generalized polynomial chaos method for stochastic differential equations (2005)An adaptive multi-element gen…The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)The Wiener--Askey Polynomial …Spectral Polynomial Chaos Solutions of the Stochastic Advection Equation (2002)Spectral Polynomial Chaos Sol…Nonlocal PDF methods for Langevin equations with colored noise (2018)Nonlocal PDF methods for Lang…A moment-equation-copula-closure method for nonlinear vibrational systems subjected to correlated noise (2016)A moment-equation-copula-clos…Stochastic Finite Element Expansion for Random Media (1989)Stochastic Finite Elements: A Spectral Approach (1991)Modeling uncertainty in flow simulations via generalized polynomial chaos (2003)Stochastic inverse heat conduction using a spectral approach (2004)QUANTIFYING UNCERTAINTY: MODERN COMPUTATIONAL REPRESENTATION OF PROBABILITY AND APPLICATIONS (2007)Stochastic finite elements: Computational approaches to stochastic partial differential equations (2008)Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates (2001)Adaptive-sparse polynomial chaos expansion for reliability analysis and design of complex engineering systems (2010)An adaptive high-dimensional stochastic model representation technique for the solution of stochastic partial differential equations (2010)Enhancing ℓ1 -minimization estimates of polynomial chaos expansions using basis selection (2015)Probabilistic Theory of Structural Dynamics (1976)Stochastic Differential Equations: An Introduction with Applications. 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References

  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 2008A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data942 cited
  • 2005An adaptive multi-element generalized polynomial chaos method for stochastic differential equations578 cited
  • 2006Multi-Element Generalized Polynomial Chaos for Arbitrary Probability Measures498 cited
  • 2008The multi-element probabilistic collocation method (ME-PCM): Error analysis and applications214 cited
  • 2009Multi-element probabilistic collocation method in high dimensions203 cited
  • 2011Adaptive ANOVA decomposition of stochastic incompressible and compressible flows127 cited
  • 2008A note on the principle of preservation of probability and probability density evolution equation126 cited
  • 2002Spectral Polynomial Chaos Solutions of the Stochastic Advection Equation99 cited
  • 2008New partial differential equations governing the joint, response–excitation, probability distributions of nonlinear systems, under general stochastic excitation31 cited
  • 2012New evolution equations for the joint response-excitation probability density function of stochastic solutions to first-order nonlinear PDEs23 cited

Cited by

  • 2016A moment-equation-copula-closure method for nonlinear vibrational systems subjected to correlated noise20 cited
  • 2018Nonlocal PDF methods for Langevin equations with colored noise

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11 cited