# Dongbin Xiu

According to our database

Collaborative distances:

^{1}, Dongbin Xiu authored at least 53 papers between 2002 and 2018.Collaborative distances:

## Timeline

#### Legend:

Book In proceedings Article PhD thesis Other## Links

#### On csauthors.net:

## Bibliography

2018

Parameter uncertainty quantification using surrogate models applied to a spatial model of yeast mating polarization.

PLoS Computational Biology, 2018

Sequential function approximation on arbitrarily distributed point sets.

J. Comput. Physics, 2018

Sequential function approximation with noisy data.

J. Comput. Physics, 2018

Data Driven Governing Equations Approximation Using Deep Neural Networks.

CoRR, 2018

Numerical Aspects for Approximating Governing Equations Using Data.

CoRR, 2018

An Explicit Neural Network Construction for Piecewise Constant Function Approximation.

CoRR, 2018

Reducing Parameter Space for Neural Network Training.

CoRR, 2018

2017

Sparse Approximation using ℓ

_{1-ℓ2}Minimization and Its Application to Stochastic Collocation.
SIAM J. Scientific Computing, 2017

A Randomized Tensor Quadrature Method for High Dimensional Polynomial Approximation.

SIAM J. Scientific Computing, 2017

A Randomized Algorithm for Multivariate Function Approximation.

SIAM J. Scientific Computing, 2017

Multi-fidelity stochastic collocation method for computation of statistical moments.

J. Comput. Physics, 2017

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

J. Comput. Physics, 2017

2016

Correcting Data Corruption Errors for Multivariate Function Approximation.

SIAM J. Scientific Computing, 2016

Nonadaptive Quasi-Optimal Points Selection for Least Squares Linear Regression.

SIAM J. Scientific Computing, 2016

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

J. Sci. Comput., 2016

On a near optimal sampling strategy for least squares polynomial regression.

J. Comput. Physics, 2016

Numerical strategy for model correction using physical constraints.

J. Comput. Physics, 2016

2015

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

SIAM J. Scientific Computing, 2015

Local Polynomial Chaos Expansion for Linear Differential Equations with High Dimensional Random Inputs.

SIAM J. Scientific Computing, 2015

An Efficient Method for Uncertainty Propagation using Fuzzy Sets.

SIAM J. Scientific Computing, 2015

Weighted discrete least-squares polynomial approximation using randomized quadratures.

J. Comput. Physics, 2015

Asymptotic-preserving methods for hyperbolic and transport equations with random inputs and diffusive scalings.

J. Comput. Physics, 2015

2014

A Stochastic Collocation Algorithm with Multifidelity Models.

SIAM J. Scientific Computing, 2014

Surrogate Based Method for Evaluation of Failure Probability under Multiple Constraints.

SIAM J. Scientific Computing, 2014

On Upper and Lower Bounds for Quantity of Interest in Problems Subject to Epistemic Uncertainty.

SIAM J. Scientific Computing, 2014

2013

Constructing Nested Nodal Sets for Multivariate Polynomial Interpolation.

SIAM J. Scientific Computing, 2013

Minimal multi-element stochastic collocation for uncertainty quantification of discontinuous functions.

J. Comput. Physics, 2013

A flexible numerical approach for quantification of epistemic uncertainty.

J. Comput. Physics, 2013

2012

Stochastic Collocation Methods on Unstructured Grids in High Dimensions via Interpolation.

SIAM J. Scientific Computing, 2012

Computation of Failure Probability Subject to Epistemic Uncertainty.

SIAM J. Scientific Computing, 2012

Stochastic Collocation for Optimal Control Problems with Stochastic PDE Constraints.

SIAM J. Control and Optimization, 2012

Generalised Polynomial Chaos for a Class of Linear Conservation Laws.

J. Sci. Comput., 2012

Sequential data assimilation with multiple models.

J. Comput. Physics, 2012

2011

An efficient surrogate-based method for computing rare failure probability.

J. Comput. Physics, 2011

Characterization of discontinuities in high-dimensional stochastic problems on adaptive sparse grids.

J. Comput. Physics, 2011

2010

Evaluation of failure probability via surrogate models.

J. Comput. Physics, 2010

Numerical approach for quantification of epistemic uncertainty.

J. Comput. Physics, 2010

2009

Efficient stochastic Galerkin methods for random diffusion equations.

J. Comput. Physics, 2009

A generalized polynomial chaos based ensemble Kalman filter with high accuracy.

J. Comput. Physics, 2009

Discontinuity detection in multivariate space for stochastic simulations.

J. Comput. Physics, 2009

2007

Parametric uncertainty analysis of pulse wave propagation in a model of a human arterial network.

J. Comput. Physics, 2007

Guest Editors' Introduction: Stochastic Modeling of Complex Systems.

Computing in Science and Engineering, 2007

2006

Numerical Methods for Differential Equations in Random Domains.

SIAM J. Scientific Computing, 2006

Stochastic analysis of transport in tubes with rough walls.

J. Comput. Physics, 2006

2005

High-Order Collocation Methods for Differential Equations with Random Inputs.

SIAM J. Scientific Computing, 2005

Equation-Free, Multiscale Computation for Unsteady Random Diffusion.

Multiscale Modeling & Simulation, 2005

Strong and Auxiliary Forms of the Semi-Lagrangian Method for Incompressible Flows.

J. Sci. Comput., 2005

An equation-free, multiscale approach to uncertainty quantification.

Computing in Science and Engineering, 2005

2004

Stochastic Solutions for the Two-Dimensional Advection-Diffusion Equation.

SIAM J. Scientific Computing, 2004

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

Multiscale Modeling & Simulation, 2004

2003

Performance Evaluation of Generalized Polynomial Chaos.

Proceedings of the Computational Science - ICCS 2003, 2003

2002

The Wiener-Askey Polynomial Chaos for Stochastic Differential Equations.

SIAM J. Scientific Computing, 2002

A Semi-Lagrangian Method for Turbulence Simulations Using Mixed Spectral Discretizations.

J. Sci. Comput., 2002