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Dongbin Xiu

43 works· latest 2018· 6 institutionscluster: provisional

h-index31

i1043

Citations13,081

Works here43

Most cited in this library

The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations2002 · 4,821 citations
High-Order Collocation Methods for Differential Equations with Random Inputs2005 · 1,522 citations
Modeling uncertainty in flow simulations via generalized polynomial chaos2003 · 1,428 citations
Numerical Methods for Stochastic Computations: A Spectral Method Approach2010 · 1,107 citations
Fast Numerical Methods for Stochastic Computations: A Review2009 · 608 citations

Works

43 shown

Uncertainty quantification on the macroscopic properties of heterogeneous porous media

Physical review. E·2018·6 authors

13citations

A stochastic Galerkin method for first-order quasilinear hyperbolic systems with uncertainty

Journal of Computational Physics·2017·3 authors·Open access

28citations

Multi-fidelity stochastic collocation method for computation of statistical moments

Journal of Computational Physics·2017·3 authors·Open access

39citations

Stochastic Collocation Methods: A Survey

Springer eBooks·2017·1 author·chapter

27citations

Nonadaptive Quasi-Optimal Points Selection for Least Squares Linear Regression

SIAM Journal on Scientific Computing·2016·2 authors

60citations

A Well-Balanced Stochastic Galerkin Method for Scalar Hyperbolic Balance Laws with Random Inputs

Journal of Scientific Computing·2015·3 authors

A Stochastic Galerkin Method for Hamilton--Jacobi Equations with Uncertainty

SIAM Journal on Scientific Computing·2015·3 authors

24citations

Stochastic Collocation Methods: A Survey

Springer eBooks·2015·1 author·chapter

12citations

A Stochastic Collocation Algorithm with Multifidelity Models

SIAM Journal on Scientific Computing·2014·3 authors

122citations

Computational Aspects of Stochastic Collocation with Multifidelity Models

SIAM/ASA Journal on Uncertainty Quantification·2014·3 authors

67citations

A flexible numerical approach for quantification of epistemic uncertainty

Journal of Computational Physics·2013·3 authors

27citations

Stochastic Collocation for Optimal Control Problems with Stochastic PDE Constraints

SIAM Journal on Control and Optimization·2012·4 authors

98citations

Stochastic Collocation Methods on Unstructured Grids in High Dimensions via Interpolation

SIAM Journal on Scientific Computing·2012·2 authors

73citations

Computation of Failure Probability Subject to Epistemic Uncertainty

SIAM Journal on Scientific Computing·2012·2 authors

16citations

An efficient surrogate-based method for computing rare failure probability

Journal of Computational Physics·2011·3 authors

105citations

Generalised Polynomial Chaos for a Class of Linear Conservation Laws

Journal of Scientific Computing·2011·2 authors

28citations

Variance-Based Global Sensitivity Analysis via Sparse-Grid Interpolation and Cubature

Communications in Computational Physics·2010·2 authors

54citations

Evaluation of failure probability via surrogate models

Journal of Computational Physics·2010·2 authors

151citations

Numerical approach for quantification of epistemic uncertainty

Journal of Computational Physics·2010·3 authors

98citations

A Stochastic Collocation Approach to Bayesian Inference in Inverse Problems

Communications in Computational Physics·2009·2 authors

285citations

Fast Numerical Methods for Stochastic Computations: A Review

Communications in Computational Physics·2009·1 author

608citations

Efficient stochastic Galerkin methods for random diffusion equations

Journal of Computational Physics·2008·2 authors

90citations

Fast numerical methods for robust optimal design

Engineering Optimization·2008·1 author

13citations

Galerkin Method for Wave Equations with Uncertain Coefficients

Communications in Computational Physics·2008·1 author

112citations

Efficient Collocational Approach for Parametric Uncertainty Analysis

Communications in Computational Physics·2007·1 author

309citations

Stochastic analysis of transport in tubes with rough walls

Journal of Computational Physics·2006·2 authors

104citations

Numerical Methods for Differential Equations in Random Domains

SIAM Journal on Scientific Computing·2006·2 authors

163citations

An equation-free, multiscale approach to uncertainty quantification

Computing in Science & Engineering·2005·3 authors

31citations

High-Order Collocation Methods for Differential Equations with Random Inputs

SIAM Journal on Scientific Computing·2005·2 authors·Open access

1,522citations

Supersensitivity due to uncertain boundary conditions

International Journal for Numerical Methods in Engineering·2004·2 authors

64citations

Stochastic Solutions for the Two-Dimensional Advection-Diffusion Equation

SIAM Journal on Scientific Computing·2004·3 authors

43citations

A Two-Scale Nonperturbative Approach to Uncertainty Analysis of Diffusion in Random Composites

Multiscale Modeling and Simulation·2004·2 authors

26citations

A new stochastic approach to transient heat conduction modeling with uncertainty

International Journal of Heat and Mass Transfer·2003·2 authors

216citations

Modeling uncertainty in flow simulations via generalized polynomial chaos

Journal of Computational Physics·2003·2 authors

1,428citations

Performance Evaluation of Generalized Polynomial Chaos

Lecture notes in computer science·2003·4 authors·other·Open access

36citations

Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos

Computer Methods in Applied Mechanics and Engineering·2002·2 authors

552citations

The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations

SIAM Journal on Scientific Computing·2002·2 authors

4,821citations

Stochastic Modeling of Flow-Structure Interactions Using Generalized Polynomial Chaos

Journal of Fluids Engineering·2001·4 authors

273citations