Edit Profile (opens in new tab) Williams, Brian J. Co-Author Distance Author ID: williams.brian-j Published as: Williams, Brian J.; Williams, Brian Documents Indexed: 29 Publications since 1980, including 4 Books and 1 Additional arXiv Preprint 1 Contribution as Editor Co-Authors: 25 Co-Authors with 15 Joint Publications 319 Co-Co-Authors all top 5 Co-Authors 5 single-authored 4 Smith, Ralph C. 3 Higdon, Dave M. 3 Lewis, Allison L. 3 Loeppky, Jason L. 3 Moore, Leslie M. 3 Notz, William I. 3 Santner, Thomas J. 2 Gattiker, James R. 2 Huzurbazar, Aparna V. 2 Picard, Rick 2 Weaver, Brian P. 1 Abatih, Emmanuel N. 1 Anderson-Cook, Christine Michaela 1 Bacaër, Nicolas 1 Berkvens, Dirk 1 Bingham, Derek R. 1 Chou, Chuan-Chih 1 Coleman, Kayla D. 1 Doss, Forrest W. 1 Figueroa, Victor 1 Gattiker, Jim 1 Grosskopf, Michael J. 1 Hare, Warren L. 1 Harvey, H. R. 1 Higdon, David M. 1 Holloway, James Paul 1 Keller-McNulty, Sallie 1 Khuwaileh, Bassam 1 Lu, Wilson W. 1 McKay, Michael D. 1 Morris, Max D. 1 Nakhleh, Charles W. 1 O’Leary, Timothy J. 1 Ouifki, Rachid 1 Pecheur, Charles 1 Peterson, Arthur V. jun. 1 Prentice, Ross L. 1 Pretorius, Carel 1 Ranjan, Pritam 1 Reese, Shane 1 Rightley, Maria 1 Ron, Lenin 1 Speybroeck, Niko 1 Wentworth, Mami T. 1 Wood, Robin all top 5 Serials 2 Journal of Statistical Planning and Inference 2 Bayesian Analysis 2 Springer Series in Statistics 1 The American Statistician 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Computational Physics 1 Journal of Mathematical Biology 1 Letters in Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Biometrika 1 Journal of the American Statistical Association 1 Topology and its Applications 1 Statistica Sinica 1 Applied Stochastic Models in Business and Industry 1 Inverse Problems in Science and Engineering 1 Electronic Notes in Theoretical Computer Science 1 Science 1 Journal of Statistical Theory and Practice 1 SIAM/ASA Journal on Uncertainty Quantification 1 Journal of the Indian Statistical Association all top 5 Fields 20 Statistics (62-XX) 6 Computer science (68-XX) 5 Numerical analysis (65-XX) 4 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 19 Publications have been cited 671 times in 582 Documents Cited by ▼ Year ▼ The design and analysis of computer experiments. Zbl 1041.62068 Santner, Thomas J.; Williams, Brian J.; Notz, William I. 394 2003 Computer model calibration using high-dimensional output. Zbl 1469.62414 Higdon, Dave; Gattiker, James; Williams, Brian; Rightley, Maria 127 2008 On the regression analysis of multivariate failure time data. Zbl 0465.62100 Prentice, R. L.; Williams, B. J.; Peterson, A. V. 115 1981 The design and analysis of computer experiments. 2nd revised and enlarged edition. Zbl 1405.62110 Santner, Thomas J.; Williams, Brian J.; Notz, William I. 58 2018 Batch sequential designs for computer experiments. Zbl 1185.62142 Loeppky, Jason L.; Moore, Leslie M.; Williams, Brian J. 27 2010 Sequential design of computer experiments to minimize integrated response functions. Zbl 0961.62069 Williams, Brian J.; Santner, Thomas J.; Notz, William I. 27 2000 Modeling the joint epidemics of TB and HIV in a South African township. Zbl 1194.92052 Bacaër, Nicolas; Ouifki, Rachid; Pretorius, Carel; Wood, Robin; Williams, Brian 21 2008 A Bayesian calibration approach to the thermal problem. Zbl 1388.80005 Higdon, Dave; Nakhleh, Charles; Gattiker, James; Williams, Brian 17 2008 Combining experimental data and computer simulations, with an application to flyer plate experiments. Zbl 1331.62508 Williams, Brian; Higdon, Dave; Gattiker, Jim; Moore, Leslie; McKay, Michael; Keller-McNulty, Sallie 12 2006 Mathematical analysis of the transmission dynamics of brucellosis among bison. Zbl 1354.92077 Abatih, Emmanuel; Ron, Lenin; Speybroeck, Niko; Williams, Brian; Berkvens, Dirk 8 2015 Computational enhancements to Bayesian design of experiments using Gaussian processes. Zbl 1359.62322 Weaver, Brian P.; Williams, Brian J.; Anderson-Cook, Christine M.; Higdon, David M. 6 2016 The Virasoro vertex algebra and factorization algebras on Riemann surfaces. Zbl 1483.17020 Williams, Brian 4 2017 An information theoretic approach to use high-fidelity codes to calibrate low-fidelity codes. Zbl 1360.62416 Lewis, Allison; Smith, Ralph; Williams, Brian; Figueroa, Victor 2 2016 Gradient free active subspace construction using Morris screening elementary effects. Zbl 1359.62332 Lewis, Allison; Smith, Ralph; Williams, Brian 2 2016 Gradient-free construction of active subspaces for dimension reduction in complex models with applications to neutronics. Zbl 1453.62561 Coleman, Kayla D.; Lewis, Allison; Smith, Ralph C.; Williams, Brian; Morris, Max; Khuwaileh, Bassam 2 2019 Posterior sampling with constructed likelihood functions: an application to flowgraph models. Zbl 1114.62027 Williams, Brian J.; Huzurbazar, Aparna V. 1 2006 Bayesian model calibration and uncertainty quantification for an HIV model using adaptive Metropolis algorithms. Zbl 1390.92086 Wentworth, Mami T.; Smith, Ralph C.; Williams, Brian 1 2018 Flowgraph models for complex multistate system reliability. Zbl 1082.62096 Huzurbazar, Aparna V.; Williams, Brian J. 1 2005 Projection array based designs for computer experiments. Zbl 1242.62083 Loeppky, Jason L.; Moore, Leslie M.; Williams, Brian J. 1 2012 Gradient-free construction of active subspaces for dimension reduction in complex models with applications to neutronics. Zbl 1453.62561 Coleman, Kayla D.; Lewis, Allison; Smith, Ralph C.; Williams, Brian; Morris, Max; Khuwaileh, Bassam 2 2019 The design and analysis of computer experiments. 2nd revised and enlarged edition. Zbl 1405.62110 Santner, Thomas J.; Williams, Brian J.; Notz, William I. 58 2018 Bayesian model calibration and uncertainty quantification for an HIV model using adaptive Metropolis algorithms. Zbl 1390.92086 Wentworth, Mami T.; Smith, Ralph C.; Williams, Brian 1 2018 The Virasoro vertex algebra and factorization algebras on Riemann surfaces. Zbl 1483.17020 Williams, Brian 4 2017 Computational enhancements to Bayesian design of experiments using Gaussian processes. Zbl 1359.62322 Weaver, Brian P.; Williams, Brian J.; Anderson-Cook, Christine M.; Higdon, David M. 6 2016 An information theoretic approach to use high-fidelity codes to calibrate low-fidelity codes. Zbl 1360.62416 Lewis, Allison; Smith, Ralph; Williams, Brian; Figueroa, Victor 2 2016 Gradient free active subspace construction using Morris screening elementary effects. Zbl 1359.62332 Lewis, Allison; Smith, Ralph; Williams, Brian 2 2016 Mathematical analysis of the transmission dynamics of brucellosis among bison. Zbl 1354.92077 Abatih, Emmanuel; Ron, Lenin; Speybroeck, Niko; Williams, Brian; Berkvens, Dirk 8 2015 Projection array based designs for computer experiments. Zbl 1242.62083 Loeppky, Jason L.; Moore, Leslie M.; Williams, Brian J. 1 2012 Batch sequential designs for computer experiments. Zbl 1185.62142 Loeppky, Jason L.; Moore, Leslie M.; Williams, Brian J. 27 2010 Computer model calibration using high-dimensional output. Zbl 1469.62414 Higdon, Dave; Gattiker, James; Williams, Brian; Rightley, Maria 127 2008 Modeling the joint epidemics of TB and HIV in a South African township. Zbl 1194.92052 Bacaër, Nicolas; Ouifki, Rachid; Pretorius, Carel; Wood, Robin; Williams, Brian 21 2008 A Bayesian calibration approach to the thermal problem. Zbl 1388.80005 Higdon, Dave; Nakhleh, Charles; Gattiker, James; Williams, Brian 17 2008 Combining experimental data and computer simulations, with an application to flyer plate experiments. Zbl 1331.62508 Williams, Brian; Higdon, Dave; Gattiker, Jim; Moore, Leslie; McKay, Michael; Keller-McNulty, Sallie 12 2006 Posterior sampling with constructed likelihood functions: an application to flowgraph models. Zbl 1114.62027 Williams, Brian J.; Huzurbazar, Aparna V. 1 2006 Flowgraph models for complex multistate system reliability. Zbl 1082.62096 Huzurbazar, Aparna V.; Williams, Brian J. 1 2005 The design and analysis of computer experiments. Zbl 1041.62068 Santner, Thomas J.; Williams, Brian J.; Notz, William I. 394 2003 Sequential design of computer experiments to minimize integrated response functions. Zbl 0961.62069 Williams, Brian J.; Santner, Thomas J.; Notz, William I. 27 2000 On the regression analysis of multivariate failure time data. Zbl 0465.62100 Prentice, R. L.; Williams, B. J.; Peterson, A. V. 115 1981 all cited Publications top 5 cited Publications all top 5 Cited by 1,135 Authors 18 Bachoc, François 12 Gramacy, Robert B. 12 Wu, Chien-Fu Jeff 11 Ginsbourger, David 11 Liu, Min-Qian 10 Kleijnen, Jack P. C. 8 Elsawah, A. M. 8 Hung, Ying 8 Ranjan, Pritam 8 Roshan Joseph, V. 8 Roustant, Olivier 8 Sun, Fasheng 8 Tang, Boxin 8 Tuo, Rui 7 Drignei, Dorin 7 Gu, Mengyang 7 He, Yuanzhen 7 Lagnoux, Agnès 7 Sung, Chih-Li 6 Barbillon, Pierre 6 Gamboa, Fabrice 6 Helbert, Céline 6 Lin, Chunfang Devon 6 Pronzato, Luc 6 Wang, Wenjia 6 Wang, Yaping 6 Wikle, Christopher K. 5 Bect, Julien 5 Bingham, Derek R. 5 Garnier, Josselin 5 Haaland, Benjamin 5 Ludkovski, Michael 5 Mak, Simon 5 Overstall, Antony M. 5 Plumlee, Matthew 5 Prieur, Clémentine 5 Qin, Hong 5 Tan, Matthias Hwai Yong 5 Vazquez, Emmanuel 5 Wang, Yan 5 Williams, Brian J. 5 Xiong, Shifeng 5 Yang, Jianfeng 4 Apley, Daniel W. 4 Balesdent, Mathieu 4 Broto, Baptiste 4 Carraro, Laurent 4 Deng, Xinwei 4 Drovandi, Christopher C. 4 Durrande, Nicolas 4 Hooten, Mevin B. 4 Kirby, Robert M. II 4 Klein, Thierry E. 4 Lee, Herbert K. H. 4 Loeppky, Jason L. 4 Mahadevan, Sankaran 4 Marrel, Amandine 4 Marzat, Julien 4 McGree, James M. 4 Munoz Zuniga, Miguel 4 Nelson, Barry L. 4 Ning, Jianhui 4 Perrin, Guillaume 4 Qian, Peter Z. G. 4 Rullière, Didier 4 Santner, Thomas J. 4 Stehlík, Milan 4 van Beers, Wim C. M. 4 Walter, Eric 4 Williamson, Daniel B. 4 Woods, David C. 4 Xiao, Qian 4 Xing, Weiwei 4 Xu, Hongquan 4 Yang, Jinyu 4 Zhigljavsky, Anatoly A. 4 Zhou, Yongdao 3 Adhikari, Sondipon 3 Ai, Mingyao 3 Baran, Sándor 3 Bilionis, Ilias 3 Borgonovo, Emanuele 3 Boys, Richard J. 3 Challenor, Peter G. 3 Chatterjee, Kashinath 3 Chen, Ray-Bing 3 Chen, Wei 3 Cheng, Chingshui 3 Chevalier, Clément 3 Constantine, Paul G. 3 da Veiga, Sébastien 3 De Lozzo, Matthias 3 Fang, Kai-Tai 3 Fiechter, Jerome 3 Gou, Tingxun 3 Haran, Murali 3 Herbei, Radu 3 Higdon, Dave M. 3 Huang, Chaofan 3 Huang, Hengzhen ...and 1,035 more Authors all top 5 Cited in 132 Serials 64 SIAM/ASA Journal on Uncertainty Quantification 29 Computer Methods in Applied Mechanics and Engineering 27 Computational Statistics and Data Analysis 25 Journal of Computational Physics 24 Statistics and Computing 23 The Annals of Applied Statistics 19 Journal of Global Optimization 18 Journal of the American Statistical Association 18 Journal of Statistical Planning and Inference 16 The Annals of Statistics 16 European Journal of Operational Research 13 Journal of Agricultural, Biological, and Environmental Statistics 10 Communications in Statistics. Simulation and Computation 10 Bayesian Analysis 9 Journal of Statistical Computation and Simulation 8 Statistics & Probability Letters 8 Applied Stochastic Models in Business and Industry 7 Journal of Statistical Theory and Practice 7 Electronic Journal of Statistics 6 International Journal for Numerical Methods in Engineering 6 Statistical Papers 6 Statistica Sinica 6 Journal of Applied Statistics 6 Computational Geosciences 6 Journal of Computational and Graphical Statistics 5 The American Statistician 5 Applied Mathematical Modelling 5 Communications in Statistics. Theory and Methods 5 Bernoulli 5 Journal of the Korean Statistical Society 5 AStA. Advances in Statistical Analysis 4 Metrika 4 Statistical Methodology 3 The Canadian Journal of Statistics 3 Computers and Fluids 3 Biometrics 3 Journal of Multivariate Analysis 3 Operations Research 3 Journal of Complexity 3 Statistical Science 3 Machine Learning 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 ACM Transactions on Modeling and Computer Simulation 3 INFORMS Journal on Computing 3 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 3 Journal of Machine Learning Research (JMLR) 3 Engineering Optimization 3 Environmetrics 2 Computer Physics Communications 2 Automatica 2 Information Sciences 2 International Statistical Review 2 Mathematics and Computers in Simulation 2 Statistics 2 Computers & Operations Research 2 Computational Statistics 2 SIAM Journal on Optimization 2 SIAM Journal on Scientific Computing 2 Mathematical Problems in Engineering 2 Optimization and Engineering 2 Inverse Problems in Science and Engineering 2 Statistical Analysis and Data Mining 2 SIAM Journal on Financial Mathematics 2 Science China. Mathematics 2 Journal of Theoretical Biology 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 SIAM Journal on Mathematics of Data Science 1 Acta Mechanica 1 Artificial Intelligence 1 Discrete Applied Mathematics 1 International Journal of Engineering Science 1 International Journal for Numerical Methods in Fluids 1 Journal of Fluid Mechanics 1 Journal of the Franklin Institute 1 Annals of the Institute of Statistical Mathematics 1 Illinois Journal of Mathematics 1 Journal of Computational and Applied Mathematics 1 Naval Research Logistics 1 Statistica 1 Insurance Mathematics & Economics 1 Stochastic Analysis and Applications 1 Computer Aided Geometric Design 1 Journal of Classification 1 Physica D 1 Discrete & Computational Geometry 1 Computational Mechanics 1 Numerical Methods for Partial Differential Equations 1 MCSS. Mathematics of Control, Signals, and Systems 1 Journal of Scientific Computing 1 Neural Networks 1 Applications of Mathematics 1 Designs, Codes and Cryptography 1 Computational Optimization and Applications 1 Computational and Applied Mathematics 1 Annals of Mathematics and Artificial Intelligence 1 The Journal of Fourier Analysis and Applications 1 International Transactions in Operational Research 1 Journal of Nonparametric Statistics 1 Doklady Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings ...and 32 more Serials all top 5 Cited in 30 Fields 443 Statistics (62-XX) 120 Numerical analysis (65-XX) 100 Probability theory and stochastic processes (60-XX) 69 Operations research, mathematical programming (90-XX) 59 Computer science (68-XX) 32 Combinatorics (05-XX) 28 Geophysics (86-XX) 20 Mechanics of deformable solids (74-XX) 20 Biology and other natural sciences (92-XX) 17 Fluid mechanics (76-XX) 16 Systems theory; control (93-XX) 11 Partial differential equations (35-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Approximations and expansions (41-XX) 6 Information and communication theory, circuits (94-XX) 5 Functional analysis (46-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Astronomy and astrophysics (85-XX) 3 Convex and discrete geometry (52-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Number theory (11-XX) 2 Special functions (33-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Integral equations (45-XX) Citations by Year