CLAYTON G. WEBSTER, Ph.D.

Senior Scientist, Professor & Department Head

Publications of Dr. Clayton G. Webster

Recent ORNL Reports (in review)

H. Tran, C. G. Webster and G. Zhang, Analysis of quasi-optimal polynomial approximations for parameterized PDEs with deterministic and stochastic coefficients. ORNL Report ORNL/TM-2014/468, Oak Ridge National Laboratory, 2014.

@TechReport{Tran:2015C,

author = {H. Tran and C. G. Webster and G. Zhang},

institution = {Oak Ridge National Laboratory},

title = {Analysis of quasi-optimal polynomial approximations for parameterized {PDEs} with deterministic and stochastic coefficients},

number = {ORNL/TM-2014/468},

year = {2014}

}

G. Zhang, W. Zhao, C. G. Webster and M. Gunzbuger, A backward stochastic differential equations approach for the numerical solution of a class of nonlocal diffusion problems. ORNL/TM-2014/449, Oak Ridge National Laboratory, 2014.

@TechReport{Zhang:2015R,

author = {G. Zhang and W. Zhao and C. G. Webster and M. Gunzburger},

institution = {Oak Ridge National Laboratory},

title = {A backward stochastic differential equations approach for the numerical solution of a class of nonlocal diffusion problems},

number = {ORNL/TM-2014/449},

year = {2014}

}

A. Teckentrup, P. Jantsch, C. G. Webster and M. Gunzburger, A multilevel stochastic collocation method for partial differential equations with random input data. ORNL/TM-2014/621, Oak Ridge National Laboratory, 2014.

@TechReport{Gunzburger:2014R,

Author = {A. Teckentrup and P. Jantsch and C. G. Webster and M. Gunzburger},

institution = {Oak Ridge National Laboratory},

title = {A multilevel stochastic collocation method for partial differential equations with random input data},

number = {ORNL/TM-2014/621},

year = {2014}

}

M. Stoyanov and C. G. Webster, A dynamically adaptive sparse grid method for quasi-optimal interpolation of multidimensional analytic functions. ORNL/TM-2015/341, Oak Ridge National Laboratory, 2015.

@TechReport{Stoyanov:2015R,

author = {M. Stoyanov and C. G. Webster},

institution = {Oak Ridge National Laboratory},

title = {A dynamically adaptive sparse grid method for quasi-optimal interpolation of multidimensional analytic functions},

number = {ORNL/TM-2015/341},

year = {2015}

}

N. Dexter, C. G. Webster and G. Zhang, Explicit cost bounds of stochastic Galerkin approximations for parameterized PDEs with random coefficients. ORNL/TM-2015/328, Oak Ridge National Laboratory, 2015.

@TechReport{Dexter:2015R,

author = {N. Dexter and C. G. Webster and G. Zhang},

institution = {Oak Ridge National Laboratory},

title = {Explicit cost bounds of stochastic {G}alerkin approximations for parameterized {PDE}s with random coefficients},

number = {ORNL/TM-2015/328},

year = {2015}

}

D. Galindo, P. Jantsch, C. G. Webster and G. Zhang, Accelerating stochastic collocation methods for PDEs with random input data. ORNL/TM-2015/219, Oak Ridge National Laboratory, 2015.

@TechReport{Galindo:2015R,

author = {D. Galindo and P. Jantsch and C. G. Webster and G. Zhang},

institution = {Oak Ridge National Laboratory},

title = {Accelerating stochastic collocation methods for {PDE}s with random input data},

number = {ORNL/TM-2015/219},

year = {2015}

}

Referred Books & Book Chapters

M. Gunzburger, C. G. Webster, and G. Zhang, An adaptive wavelet stochastic collocation method for irregular solutions of partial differential equations with random input data. Lecture Notes in Computational Science and Engineering (Springer) , 97:137-170, 2014.

@incollection{Gunzburger:2014dy,

year={2014},

isbn={978-3-319-04536-8},

booktitle={Sparse Grids and Applications - Munich 2012},

volume={97},

series={Lecture Notes in Computational Science and Engineering},

title={An Adaptive Wavelet Stochastic Collocation Method for Irregular Solutions of Partial Differential Equations with Random Input Data},

publisher={Springer International Publishing},

author={Gunzburger, M. and Webster, C. G. and Zhang, G.},

pages={137-170},

}

C. Daw, K. Edwards, C. Finney, S. Pannala, M. Stoyanov, R. Wagner and C. G. Webster, Application of high performance computing for simulating the unstable dynamics of dilute spark-ignited combustion. Theory and Application in Nonlinear Dynamics: Understanding Complex Systems (Springer), 259-270, 2014.

@incollection{Daw:2013P,

year={2014},

isbn={978-3-319-02924-5},

booktitle={Theory and Application in Nonlinear Dynamics},

series={Understanding Complex Systems},

doi={10.1007/978-3-319-02925-2_23},

title={Application of High Performance Computing for Simulating the Unstable Dynamics of Dilute Spark-Ignited Combustion},

url={http://dx.doi.org/10.1007/978-3-319-02925-2_23},

publisher={Springer International Publishing},

author = {C. Daw and K. Edwards and C. Finney and S. Pannala and M. Stoyanov and R. Wagner and C. G. Webster},

pages={259-270},

language={English}

}

M. Gunzburger, C. G. Webster, and G. Zhang, Sparse collocation methods for stochastic interpolation and quadrature. Handbook of Uncertainty Quantification, Springer-Verlag, 2015.

@incollection{Gunzburger:2015C,

year={2015},

booktitle={Handbook of Uncertainty Quantification},

title={Sparse collocation methods for stochastic interpolation and quadrature},

publisher={Springer-Verlag},

author={Gunzburger, M. and Webster, C. G. and Zhang, G.},

note = {To appear}

}

H. Tran, C. G. Webster and G. Zhang, A sparse grid method for Bayesian uncertainty quantification with application to large eddy simulation turbulence models. Lecture Notes in Computational Science and Engineering (Springer), 2015.

@incollection{Tran:2015,

year={2015},

booktitle={Sparse Grids and Applications - Stuttgart 2014},

series={Lecture Notes in Computational Science and Engineering},

title = {A sparse grid method for Bayesian uncertainty quantification with application to large eddy simulation turbulence models},

publisher={Springer International Publishing},

author={H. Tran and C. G. Webster and G. Zhang},

}

M. Gunzburger and C. G. Webster, An algorithmic introduction to numerical methods for uncertainty quantification for PDEs with random inputs. Applied Mathematical Sciences (Springer), 2015.

@book{Gunzburger:2015,

Author = {M. Gunzburger and C. G. Webster},

Publisher = {Applied Mathematical Sciences, Springer},

Title = {An algorithmic introduction to numerical methods for uncertainty quantification for {PDE}s with random inputs},

Year ={2015}

}

Referred Articles

J. S. Chang, P. Looy, and C. G. Webster, The effects of dust loadings on the collections of fine particles by an electrostatic precipitator with DC or pulse energized prechargers. Journal of Aerosol Science, 29:S1127-S1128, 1998.

@article{Chang:1998,

Author = {J. S. Chang and P. Looy and C. G. Webster},

Journal = {Journal of Aerosol Science},

Pages = {S1127-S1128},

Title = {The effects of dust loadings on the collections of fine particles by an electrostatic precipitator with DC or pulse energized prechargers},

Volume = {29},

Year = {1998}

}

J. Burkardt, M. Gunzburger, and C. G. Webster, Reduced order modeling of some nonlinear stochastic partial differential equations. International Journal of Numerical Analysis and Modeling, 4(3-4):368-391, 2007.

@article{Burkardt:2007uj,

Author = {J. Burkardt and M. Gunzburger and C. G. Webster},

Journal = {International Journal of Numerical Analysis and Modeling},

Title = {Reduced order modeling of some nonlinear stochastic partial differential equations},

Volume = {4},

Number ={3-4},

Pages ={368-391},

Year = {2007}

}

F. Nobile, R. Tempone, and C. G. Webster, A sparse grid stochastic collocation method for partial differential equations with random input data. SIAM Journal on Numerical Analysis, 46(5):2309-2345, 2008.

@article{Nobile:2008wf,

author = {F. Nobile and R. Tempone and C. G. Webster},

journal = {SIAM J. Numer. Anal.},

title = {A sparse grid stochastic collocation method for partial differential equations with random input data},

number = {5},

pages = {2309--2345},

volume = {46},

year = {2008},

pmid = {MR2421037}

}

F. Nobile, R. Tempone, and C. G. Webster, An anisotropic sparse grid stochastic collocation method for partial differential equations with random input data. SIAM Journal on Numerical Analysis, 46(5):2411-2442, 2008.

@article{Nobile:2008uc,

author = {F. Nobile and R. Tempone and C. G. Webster},

journal = {SIAM J. Numer. Anal.},

title = {An anisotropic sparse grid stochastic collocation method for partial differential equations with random input data},

number = {5},

pages = {2411--2442},

volume = {46},

year = {2008}

}

M. S. Eldred, C. G. Webster and P. Constantine, Design under uncertainty employing stochastic expansion methods. In Proceedings of the 12th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, AIAA-2008-6001, 1-22, September 2008.

@inproceedings{Eldred:2008Pa,

author = {M. S. Eldred and C. G. Webster and P. Constantine},

title = {Design under uncertainty employing stochastic expansion methods},

booktitle = {Proceedings of the 12th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference},

publisher = {AIAA-2008-6001},

venue = {Victoria, BC, Canada},

month = {September},

doi = {doi: 10.2514/6.2008-6001},

year = {2008}

pages = {1-23}

}

M. S. Eldred, C. G. Webster and P. Constantine, Evaluation of non-intrusive approaches for Wiener-Askey generalized polynomial chaos. In Proceedings of the Structures, Structural Dynamics, and Materials Conference, 1892:1-23. AIAA/ASME/ASCE/AHS/ASC, April 2008.

@inproceedings{Eldred:2008Pb,

author = {M. S. Eldred and C. G. Webster and P. Constantine},

title = {Evaluation of non-intrusive approaches for {W}iener-{A}skey generalized polynomial chaos},

booktitle = {Proceedings of the Structures, Structural Dynamics, and Materials Conference (10th AIAA Non-Deterministic Approaches Conference)},

publisher = {AIAA/ASME/ASCE/AHS/ASC},

venue = {Schaumburg, IL},

month = {April},

doi = {doi: 10.2514/6.2008-1892},

year = {2008},

volume = {1892},

pages = {1-23}

}

E. Bright, A. Morton, K. Russell, R. Stewart, M. Urban, M. Stoyanov, and C. G. Webster, An expert elicitation tool for encoding population density knowledge in a bivariate gaussian prior for the beta distribution. SPIE Defense, Security, 8747:705-716, 2013.

@article{Stewart:2013fx,

author = {E.~Bright and A. Morton and K.~Russell and R.~Stewart and M.~Urban and M.~Stoyanov and C.~G.~Webster},

Journal = {SPIE Defense, Security},

volume = {8747},

pages = {705--716},

title = {An expert elicitation tool for encoding population density knowledge in a bivariate Gaussian prior for the beta distribution},

year = {2013}

}

M. Gunzburger, D. Lu, C. G. Webster, M. Ye, and G. Zhang, An adaptive sparse grid high-order stochastic collocation method for Bayesian inference in groundwater reactive transport modeling. Water Resources Research, 49(10):6871-6892, 2013.

@article {Zhang:2013ie,

author = {Gunzburger, M. and Lu, D. and Webster, C. G. and Ye, M. and Zhang, G.},

title = {An adaptive sparse-grid high-order stochastic collocation method for Bayesian inference in groundwater reactive transport modeling},

journal = {Water Resources Research},

volume = {49},

number = {10},

issn = {1944-7973},

pages = {6871--6892},

year = {2013}

}

F. Bao, Y. Cao, C. G. Webster, and G. Zhang, A hybrid sparse grid approach for nonlinear filtering problems based on adaptive domain approximations of the Zakai equation. SIAM Journal on Uncertainty Quantification, 2:784-804, 2014.

@article{Bao:2014dl,

author = {F. Bao and Y. Cao and C. G. Webster and G. Zhang},

journal = {SIAM Journal on Uncertainty Quantification},

title = {A hybrid sparse grid approach for nonlinear filtering problems based on adaptive domain approximations of the {Z}akai equation},

year = {2014},

volume={2},

pages = {784-804}

}

M. Gunzburger, C. G. Webster, and G. Zhang, An adaptive sparse grid iterative ensemble Kalman filter approach for parameter field estimation. International Journal of Computer Mathematics, 91(4):798-817, 2014.

@article{Webster:2013ie,

author = {M.~Gunzburger and C.~G.~Webster and G.~Zhang},

title = {An adaptive sparse-grid iterative ensemble {K}alman filter approach for parameter field estimation},

journal = {International Journal of Computer Mathematics},

volume = {91},

number = {4},

pages = {798-817},

year = {2014},

}

M. Gunzburger, C. G. Webster, and G. Zhang, Stochastic finite element methods for partial differential equations with random input data. Acta Numerica, 23:521-650, 2014.

@article{Gunzburger:2014hi,

author = {Gunzburger, M. and Webster, C. G. and Zhang, G.},

title = {Stochastic finite element methods for partial differential equations with random input data},

journal = {Acta Numerica},

volume = {23},

year = {2014},

issn = {1474-0508},

pages = {521--650},

numpages = {130},

}

M. Stoyanov and C. G. Webster, A gradient-based sampling approach for stochastic dimension reduction for partial differential equations with random input data. International Journal for Uncertainty Quantification, 5(1):49-72, 2015.

@article{Stoyanov:2015ct,

author = {Miroslav Stoyanov and Clayton G. Webster},

title = {A gradient-based sampling approach for stochastic dimension reduction for partial differential equations with random input data},

journal = {International Journal for Uncertainty Quantification},

issn = {2152-5080},

year = {2015},

volume = {5},

number = {1},

pages = {49--72}

}

G. Zhang, C. G. Webster, M. Gunzburger, and J. Burkardt, A hyper-spherical adaptive sparse grid approach for high-dimensional discontinuity detection. SIAM Journal on Numerical Analysis, 53(3):1508-1536, 2015.

@article{Zhang:2015et,

author = {Zhang, G and Webster, C. G. and Gunzburger, M and Burkardt, J},

title = {{A hyper-spherical sparse grid approach for high-dimensional discontinuity detection}},

journal = {SIAM Journal on Numerical Analysis},

year = {2015},

volume = {53},

number = {3},

pages = {1508--1536}

}

M. Gunzburger and C. G. Webster. Uncertainty quantification for partial differential equations with stochastic coefficients. The Mathematical Intelligencer, 2015.

@article{Gunzburger:2015b,

Author = {M.~Gunzburger and C.~G.~Webster},

Journal = {The Mathematical Intelligencer},

Title = {Uncertainty quantification for partial differential equations with stochastic coefficients},

Year = {2015},

note = {To appear}

}

M. Stoyanov and C. G. Webster. Numerical analysis of fixed point algorithms in the presence of hardware faults. SIAM Journal on Scientific Computing, 2015.

@article{Stoyanov:2015,

Author = {M.~Stoyanov and C.~G.~Webster},

Journal = {SIAM Journal on Scientific Computing},

Title = {Numerical analysis of fixed point algorithms in the presence of hardware faults},

Year = {2015},

note = {To appear}

}

A. Teckentrup, P. Jantsch, C. G. Webster and M. Gunzburger, A multilevel stochastic collocation method for partial differential equations with random input data. SIAM Journal on Uncertainty Quantification, 2015.

@article{Teckentrup:2014,

Author = {A. Teckentrup and P. Jantsch and C. G. Webster and M. Gunzburger},

Journal = {SIAM Journal on Uncertainty Quantification},

Title = {A multilevel stochastic collocation method for partial differential equations with random input data},

Year = {2015},

note = {To appear}

}

Other Publications

C. G. Webster, Numerical modeling of waveguide interface. Master's Thesis, McMaster University, 2003.

@mastersthesis{Webster:2003uu,

author = {C.~G.~Webster},

title = {Numerical modeling of waveguide interface},

school = {McMaster University},

year = {2003}

}

C. G. Webster, Sparse grid stochastic collocation techniques for the numerical solution of partial differential equations with random input data. PhD Thesis, The Florida State University, 2007.

@PhdThesis{Webster:2007tq,

author = {C.~G.~Webster},

title = {Sparse grid stochastic collocation techniques for the numerical solution of partial differential equations with random input data},

school = {The Florida State University},

year = {2007}

}

E. Phipps, M. Eldred, A. Salinger and C. G. Webster, LDRD Final Report: Capabilities for Uncertainty in Predictive Science. SAND2008-6527, Sandia National Laboratories, 2008.

@TechReport{Phipps:2008R,

author = {E. Phipps and M. Eldred and A. Salinger and C. G. Webster},

institution = {Sandia National Laboratories},

title = {{LDRD} Final Report: Capabilities for Uncertainty in Predictive Science},

number = {SAND2008-6527},

pages = {1--56},

year = {2008}

}

J. Elliott and F. Mueller and M. Stoyanov and C. G. Webster, Quantifying the impact of single bit flips on floating point arithmetic. ORNL/TM-2013/282, Oak Ridge National Laboratory, 2013.

@TechReport{Elliot:2013R,

author = {J. Elliott and F. Mueller and M. Stoyanov and C. G. Webster},

institution = {Oak Ridge National Laboratory},

title = {Quantifying the impact of single bit flips on floating point arithmetic},

number = {ORNL/TM-2013/282},

year = {2013}

}

J. Bell, L. Chacon, J. Dongarra, R. Falgout, M. Heroux, J. Hittinger, P. Hovland, E. Ng, C. Webster and S. Wild, Applied mathematics research for exascale computing. Report for Advanced Simulation Computing Research, Department of Energy, 2014.

@TechReport{Dongarra:2014R,

author = {J. Bell and L. Chacon and J. Dongarra and R. Falgout and M. Heroux and J. Hittinger and P. Hovland and E. Ng and C. Webster and S. Wild},

institution = {Department of Energy},

title = {Applied mathematics research for exascale computing},

year = {2014}

}

Contact information

Computational & Applied Mathematics

Oak Ridge National Lab

One Bethel Valley Road

P.O. Box 2008, MS-6164

Oak Ridge, TN 37831-6164

Department of Mathematics

The University of Tennessee

227 Ayres Hall

1403 Circle Drive

Knoxville, TN 37996-1320

email: webstercg@ornl.gov

phone: 865-574-3649

google: 609-379-3271

fax: 865-241-5552

Administrative Assistant

Ms. Nancy Valentine

865-241-0212

Clayton G. Webster, 2015