Search Results

• Error Control in Multi-Element Generalized Polynomial Chaos Method for Elliptic Problems with Random Coefficients

  Xiaoliang Wan, George Em Karniadakis

  2018-04-11

  41373 3603 Pages:793-820

• An Efficient Sampling Method for Regression-Based Polynomial Chaos Expansion

  Samih Zein, Benoit Colson, Francois Glineur

  2013-08-05

  43669 4359 Pages:1173-1188

• Galerkin Method for Wave Equations with Uncertain Coefficients

  David Gottlieb, Dongbin Xiu

  2018-03-24

  39935 4245 Pages:505-518

• Numerical Solution of Partial Differential Equations in Random Domains: An Application to Wind Engineering

  Claudio Canuto, Davide Fransos

  2018-04-11

  41836 3785 Pages:515-531

• A Polynomial Chaos Method for Dispersive Electromagnetics

  Nathan L. Gibson

  2020-07-30

  39958 3471 Pages:1234-1263

• A Polynomial Chaos Expansion Trust Region Method for Robust Optimization

  Samih Zein

  2014-08-05

  40780 4007 Pages:412-424

• A WENO-Based Stochastic Galerkin Scheme for Ideal MHD Equations with Random Inputs

  Kailiang Wu, Dongbin Xiu, Xinghui Zhong

  2021-05-25

  49104 3204 Pages:423-447

• A Stochastic Collocation Approach to Bayesian Inference in Inverse Problems

  Youssef Marzouk, Dongbin Xiu

  2009-06-01

  38610 4123 Pages:826-847

• Adaptive Bayesian Inference for Discontinuous Inverse Problems, Application to Hyperbolic Conservation Laws

  Alexandre Birolleau, Gael Poette, Didier Lucor

  2014-07-06

  42164 5492 Pages:1-34

• An Adaptive ANOVA-Based Data-Driven Stochastic Method for Elliptic PDEs with Random Coefficient

  Zhiwen Zhang, Xin Hu, Thomas Y. Hou, Guang Lin, Mike Yan

  2014-12-08

  39705 3967 Pages:571-598

• Conditional Simulation of Flow in Heterogeneous Porous Media with the Probabilistic Collocation Method

  Heng Li

  2014-10-08

  41394 4125 Pages:1010-1030

• Particle Based gPC Methods for Mean-Field Models of Swarming with Uncertainty

  Jose Antonio Carrillo, Lorenzo Pareschi, Mattia Zanella

  2018-10-11

  50555 5047 Pages:508-531 Open-access

• Entropies and Symmetrization of Hyperbolic Stochastic Galerkin Formulations

  Stephan Gerster, Michael Herty

  2020-07-30

  48355 5790 Pages:639-671 Open-access

• An Efficient Spectral Method for Acoustic Scattering from Rough Surfaces

  Dongbin Xiu, Jie Shen

  2007-02-01

  38649 4542 Pages:54-72

• Fast Numerical Methods for Stochastic Computations: A Review

  Dongbin Xiu

  2018-04-11

  44340 4609 Pages:242-272

• Convergence Analysis for Stochastic Collocation Methods to Scalar Hyperbolic Equations with a Random Wave Speed

  Tao Tang, Tao Zhou

  2010-08-01

  40346 4693 Pages:226-248

• A Compressed Sensing Approach for Partial Differential Equations with Random Input Data

  L. Mathelin, K. A. Gallivan

  2012-12-01

  40698 4139 Pages:919-954

• Uncertainty Quantification for Charge Transport in GNRs Through Particle Galerkin Methods for the Semiclassical Boltzmann Equation

  Andrea Medaglia, Giovanni Nastasi, Vittorio Romano, Mattia Zanella

  2025-04-27

  9269 561 Pages:1055-1084

• Parameter Identification in Uncertain Scalar Conservation Laws Discretized with the Discontinuous Stochastic Galerkin Scheme

  Louisa Schlachter, Claudia Totzeck

  2020-08-27

  48404 3042 Pages:1585-1608