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}

    }

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  • 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}

    }

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  • 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}

    }

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  • 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}

    }

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  • 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}

    }

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  • 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}

    }

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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},

    }

    DOI: 10.1007/978-3-319-04537-5_6

  • 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}

    }

    DOI:10.1007/978-3-319-02925-2_23

  • 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}

    }

    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},

    }

    To appear

  • 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}

    }

    To appear

 

Referred Articles

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}

    }

    Download PDF

  • 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}

    }

    Download PDF

  • 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}

    }

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  • 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}

    }

    Download PDF

  •  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}

    }

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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

valentinen@ornl.gov

865-241-0212

 

Clayton G. Webster, 2015