## Bui-Thanh, Tan

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 Author ID: bui-thanh.tan Published as: Bui-Thanh, Tan; Bui-Thanh, T. External Links: ORCID
 Documents Indexed: 38 Publications since 2007 Co-Authors: 39 Co-Authors with 35 Joint Publications 959 Co-Co-Authors
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### Co-Authors

 3 single-authored 18 Ghattas, Omar N. 4 Demkowicz, Leszek F. 4 Muralikrishnan, Sriramkrishnan 3 Kang, Shinhoo 3 Myers, Aaron 3 Stadler, Georg 2 Alger, Nick 2 Girolami, Mark A. 2 Nguyen, Quoc P. 2 Shadid, John N. 2 Tran, Minh-Binh 2 Wang, Kainan 2 Willcox, Karen E. 1 Ambartsumyan, Ilona 1 Arbogast, Todd 1 Boukaram, Wajih-Halim 1 Chan, Jesse 1 Christie, Mike 1 Constantine, Paul G. 1 Giraldo, Francis X. 1 Heuer, Norbert 1 Higdon, David M. 1 Kent, Carson 1 Keyes, David Elliot 1 Lan, Shiwei 1 Le, E. B. 1 Lee, Jeonghun J. 1 Li, David S. 1 Rao, Vishwas 1 Roberts, Nathan V. 1 Sacks, Michael S. 1 Shannon, Stephen J. 1 Thiéry, Alexandre H. 1 Turkiyyah, George M. 1 Villa, Umberto E. 1 Wilcox, Lucas C. 1 Wildey, Tim M. 1 Zampini, Stefano 1 Zhang, Wenbo
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### Serials

 11 SIAM Journal on Scientific Computing 7 Journal of Computational Physics 4 Computer Methods in Applied Mechanics and Engineering 4 Inverse Problems 3 SIAM Journal on Numerical Analysis 3 Inverse Problems and Imaging 2 Computers & Mathematics with Applications 1 Mathematics of Computation 1 Journal of Scientific Computing 1 SIAM/ASA Journal on Uncertainty Quantification
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### Fields

 31 Numerical analysis (65-XX) 17 Partial differential equations (35-XX) 10 Statistics (62-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Fluid mechanics (76-XX) 5 Optics, electromagnetic theory (78-XX) 3 Mechanics of deformable solids (74-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Geophysics (86-XX) 2 Operations research, mathematical programming (90-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

33 Publications have been cited 550 times in 409 Documents Cited by Year
Model reduction for large-scale systems with high-dimensional parametric input space. Zbl 1196.37127
Bui-Thanh, T.; Willcox, K.; Ghattas, O.
2008
A computational framework for infinite-dimensional Bayesian inverse problems. I: The linearized case, with application to global seismic inversion. Zbl 1287.35087
Bui-Thanh, Tan; Ghattas, Omar; Martin, James; Stadler, Georg
2013
Goal-oriented, model-constrained optimization for reduction of large-scale systems. Zbl 1123.65081
Bui-Thanh, T.; Willcox, K.; Ghattas, O.; van Bloemen Waanders, B.
2007
A robust DPG method for convection-dominated diffusion problems. II: Adjoint boundary conditions and mesh-dependent test norms. Zbl 1350.65120
Chan, Jesse; Heuer, Norbert; Bui-Thanh, Tan; Demkowicz, Leszek
2014
The DPG method for the Stokes problem. Zbl 1381.76200
Roberts, Nathan V.; Bui-Thanh, Tan; Demkowicz, Leszek
2014
Solving large-scale PDE-constrained Bayesian inverse problems with Riemann manifold Hamiltonian Monte Carlo. Zbl 1306.65269
Bui-Thanh, T.; Girolami, M.
2014
A unified discontinuous Petrov-Galerkin method and its analysis for Friedrichs systems. Zbl 1278.65173
Bui-Thanh, Tan; Demkowicz, Leszek; Ghattas, Omar
2013
An analysis of infinite dimensional Bayesian inverse shape acoustic scattering and its numerical approximation. Zbl 1306.65270
Bui-Thanh, Tan; Ghattas, Omar
2014
Analysis of the Hessian for inverse scattering problems. I: Inverse shape scattering of acoustic waves. Zbl 1239.78006
Bui-Thanh, Tan; Ghattas, Omar
2012
From Godunov to a unified hybridized discontinuous Galerkin framework for partial differential equations. Zbl 1349.76183
Bui-Thanh, Tan
2015
Analysis of the Hessian for inverse scattering problems. II: Inverse medium scattering of acoustic waves. Zbl 1239.78007
Bui-Thanh, Tan; Ghattas, Omar
2012
Analysis of an $$hp$$-nonconforming discontinuous Galerkin spectral element method for wave propagation. Zbl 1250.65120
Bui-Thanh, Tan; Ghattas, Omar
2012
Accelerating Markov chain Monte Carlo with active subspaces. Zbl 1348.65010
Constantine, Paul G.; Kent, Carson; Bui-Thanh, Tan
2016
Emulation of higher-order tensors in manifold Monte Carlo methods for Bayesian inverse problems. Zbl 1352.65010
Lan, Shiwei; Bui-Thanh, Tan; Christie, Mike; Girolami, Mark
2016
Analysis of the Hessian for inverse scattering problems. III: Inverse medium scattering of electromagnetic waves in three dimensions. Zbl 1292.78012
Bui-Thanh, Tan; Ghattas, Omar
2013
FEM-based discretization-invariant MCMC methods for PDE-constrained Bayesian inverse problems. Zbl 1348.65013
Bui-Thanh, Tan; Nguyen, Quoc P.
2016
Adaptive Hessian-based nonstationary Gaussian process response surface method for probability density approximation with application to Bayesian solution of large-scale inverse problems. Zbl 1257.62035
Bui-Thanh, Tan; Ghattas, Omar; Higdon, David
2012
Discretely exact derivatives for hyperbolic PDE-constrained optimization problems discretized by the discontinuous Galerkin method. Zbl 1319.65051
Wilcox, Lucas C.; Stadler, Georg; Bui-Thanh, Tan; Ghattas, Omar
2015
A randomized maximum a posteriori method for posterior sampling of high dimensional nonlinear Bayesian inverse problems. Zbl 1386.35391
Wang, Kainan; Bui-Thanh, Tan; Ghattas, Omar
2018
A scalable algorithm for MAP estimators in Bayesian inverse problems with Besov priors. Zbl 1347.49045
Bui-Thanh, Tan; Ghattas, Omar
2015
A PDE-constrained optimization approach to the discontinuous Petrov-Galerkin method with a trust region inexact Newton-CG solver. Zbl 1425.65151
Bui-Thanh, Tan; Ghattas, Omar
2014
Construction and analysis of HDG methods for linearized shallow water equations. Zbl 1457.65098
Bui-Thanh, Tan
2016
Constructively well-posed approximation methods with unity inf-sup and continuity constants for partial differential equations. Zbl 1281.65129
Bui-Thanh, Tan; Demkowicz, Leszek; Ghattas, Omar
2013
iHDG: an iterative HDG framework for partial differential equations. Zbl 1422.65405
Muralikrishnan, Sriramkrishnan; Tran, Minh-Binh; Bui-Thanh, Tan
2017
A data-scalable randomized misfit approach for solving large-scale PDE-constrained inverse problems. Zbl 1417.65136
Le, E. B.; Myers, A.; Bui-Thanh, T.; Nguyen, Q. P.
2017
Unified geometric multigrid algorithm for hybridized High-order finite element methods. Zbl 1425.65184
Wildey, Tim; Muralikrishnan, Sriramkrishnan; Bui-Thanh, Tan
2019
IMEX HDG-DG: a coupled implicit hybridized discontinuous Galerkin and explicit discontinuous Galerkin approach for shallow water systems. Zbl 1453.65328
Kang, Shinhoo; Giraldo, Francis X.; Bui-Thanh, Tan
2020
From Rankine-Hugoniot condition to a constructive derivation of HDG methods. Zbl 1352.65333
Bui-Thanh, Tan
2015
A data scalable augmented Lagrangian KKT preconditioner for large-scale inverse problems. Zbl 1422.65090
Alger, Nick; Villa, Umberto; Bui-Thanh, Tan; Ghattas, Omar
2017
Analysis of an HDG method for linearized incompressible resistive MHD equations. Zbl 1422.76127
Lee, Jeonghun J.; Shannon, Stephen J.; Bui-Thanh, Tan; Shadid, John N.
2019
An improved iterative HDG approach for partial differential equations. Zbl 1415.65228
Muralikrishnan, Sriramkrishnan; Tran, Minh-Binh; Bui-Thanh, Tan
2018
Hierarchical matrix approximations of Hessians arising in inverse problems governed by PDEs. Zbl 1453.65289
Ambartsumyan, Ilona; Boukaram, Wajih; Bui-Thanh, Tan; Ghattas, Omar; Keyes, David; Stadler, Georg; Turkiyyah, George; Zampini, Stefano
2020
Scalable Matrix-free adaptive product-convolution approximation for locally translation-invariant operators. Zbl 1461.41001
Alger, Nick; Rao, Vishwas; Myers, Aaron; Bui-Thanh, Tan; Ghattas, Omar
2019
IMEX HDG-DG: a coupled implicit hybridized discontinuous Galerkin and explicit discontinuous Galerkin approach for shallow water systems. Zbl 1453.65328
Kang, Shinhoo; Giraldo, Francis X.; Bui-Thanh, Tan
2020
Hierarchical matrix approximations of Hessians arising in inverse problems governed by PDEs. Zbl 1453.65289
Ambartsumyan, Ilona; Boukaram, Wajih; Bui-Thanh, Tan; Ghattas, Omar; Keyes, David; Stadler, Georg; Turkiyyah, George; Zampini, Stefano
2020
Unified geometric multigrid algorithm for hybridized High-order finite element methods. Zbl 1425.65184
Wildey, Tim; Muralikrishnan, Sriramkrishnan; Bui-Thanh, Tan
2019
Analysis of an HDG method for linearized incompressible resistive MHD equations. Zbl 1422.76127
Lee, Jeonghun J.; Shannon, Stephen J.; Bui-Thanh, Tan; Shadid, John N.
2019
Scalable Matrix-free adaptive product-convolution approximation for locally translation-invariant operators. Zbl 1461.41001
Alger, Nick; Rao, Vishwas; Myers, Aaron; Bui-Thanh, Tan; Ghattas, Omar
2019
A randomized maximum a posteriori method for posterior sampling of high dimensional nonlinear Bayesian inverse problems. Zbl 1386.35391
Wang, Kainan; Bui-Thanh, Tan; Ghattas, Omar
2018
An improved iterative HDG approach for partial differential equations. Zbl 1415.65228
Muralikrishnan, Sriramkrishnan; Tran, Minh-Binh; Bui-Thanh, Tan
2018
iHDG: an iterative HDG framework for partial differential equations. Zbl 1422.65405
Muralikrishnan, Sriramkrishnan; Tran, Minh-Binh; Bui-Thanh, Tan
2017
A data-scalable randomized misfit approach for solving large-scale PDE-constrained inverse problems. Zbl 1417.65136
Le, E. B.; Myers, A.; Bui-Thanh, T.; Nguyen, Q. P.
2017
A data scalable augmented Lagrangian KKT preconditioner for large-scale inverse problems. Zbl 1422.65090
Alger, Nick; Villa, Umberto; Bui-Thanh, Tan; Ghattas, Omar
2017
Accelerating Markov chain Monte Carlo with active subspaces. Zbl 1348.65010
Constantine, Paul G.; Kent, Carson; Bui-Thanh, Tan
2016
Emulation of higher-order tensors in manifold Monte Carlo methods for Bayesian inverse problems. Zbl 1352.65010
Lan, Shiwei; Bui-Thanh, Tan; Christie, Mike; Girolami, Mark
2016
FEM-based discretization-invariant MCMC methods for PDE-constrained Bayesian inverse problems. Zbl 1348.65013
Bui-Thanh, Tan; Nguyen, Quoc P.
2016
Construction and analysis of HDG methods for linearized shallow water equations. Zbl 1457.65098
Bui-Thanh, Tan
2016
From Godunov to a unified hybridized discontinuous Galerkin framework for partial differential equations. Zbl 1349.76183
Bui-Thanh, Tan
2015
Discretely exact derivatives for hyperbolic PDE-constrained optimization problems discretized by the discontinuous Galerkin method. Zbl 1319.65051
Wilcox, Lucas C.; Stadler, Georg; Bui-Thanh, Tan; Ghattas, Omar
2015
A scalable algorithm for MAP estimators in Bayesian inverse problems with Besov priors. Zbl 1347.49045
Bui-Thanh, Tan; Ghattas, Omar
2015
From Rankine-Hugoniot condition to a constructive derivation of HDG methods. Zbl 1352.65333
Bui-Thanh, Tan
2015
A robust DPG method for convection-dominated diffusion problems. II: Adjoint boundary conditions and mesh-dependent test norms. Zbl 1350.65120
Chan, Jesse; Heuer, Norbert; Bui-Thanh, Tan; Demkowicz, Leszek
2014
The DPG method for the Stokes problem. Zbl 1381.76200
Roberts, Nathan V.; Bui-Thanh, Tan; Demkowicz, Leszek
2014
Solving large-scale PDE-constrained Bayesian inverse problems with Riemann manifold Hamiltonian Monte Carlo. Zbl 1306.65269
Bui-Thanh, T.; Girolami, M.
2014
An analysis of infinite dimensional Bayesian inverse shape acoustic scattering and its numerical approximation. Zbl 1306.65270
Bui-Thanh, Tan; Ghattas, Omar
2014
A PDE-constrained optimization approach to the discontinuous Petrov-Galerkin method with a trust region inexact Newton-CG solver. Zbl 1425.65151
Bui-Thanh, Tan; Ghattas, Omar
2014
A computational framework for infinite-dimensional Bayesian inverse problems. I: The linearized case, with application to global seismic inversion. Zbl 1287.35087
Bui-Thanh, Tan; Ghattas, Omar; Martin, James; Stadler, Georg
2013
A unified discontinuous Petrov-Galerkin method and its analysis for Friedrichs systems. Zbl 1278.65173
Bui-Thanh, Tan; Demkowicz, Leszek; Ghattas, Omar
2013
Analysis of the Hessian for inverse scattering problems. III: Inverse medium scattering of electromagnetic waves in three dimensions. Zbl 1292.78012
Bui-Thanh, Tan; Ghattas, Omar
2013
Constructively well-posed approximation methods with unity inf-sup and continuity constants for partial differential equations. Zbl 1281.65129
Bui-Thanh, Tan; Demkowicz, Leszek; Ghattas, Omar
2013
Analysis of the Hessian for inverse scattering problems. I: Inverse shape scattering of acoustic waves. Zbl 1239.78006
Bui-Thanh, Tan; Ghattas, Omar
2012
Analysis of the Hessian for inverse scattering problems. II: Inverse medium scattering of acoustic waves. Zbl 1239.78007
Bui-Thanh, Tan; Ghattas, Omar
2012
Analysis of an $$hp$$-nonconforming discontinuous Galerkin spectral element method for wave propagation. Zbl 1250.65120
Bui-Thanh, Tan; Ghattas, Omar
2012
Adaptive Hessian-based nonstationary Gaussian process response surface method for probability density approximation with application to Bayesian solution of large-scale inverse problems. Zbl 1257.62035
Bui-Thanh, Tan; Ghattas, Omar; Higdon, David
2012
Model reduction for large-scale systems with high-dimensional parametric input space. Zbl 1196.37127
Bui-Thanh, T.; Willcox, K.; Ghattas, O.
2008
Goal-oriented, model-constrained optimization for reduction of large-scale systems. Zbl 1123.65081
Bui-Thanh, T.; Willcox, K.; Ghattas, O.; van Bloemen Waanders, B.
2007
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### Cited by 729 Authors

 23 Bui-Thanh, Tan 21 Demkowicz, Leszek F. 21 Ghattas, Omar N. 13 Heuer, Norbert 12 Marzouk, Youssef M. 10 Carlberg, Kevin T. 10 Chen, Peng 10 Willcox, Karen E. 9 Alexanderian, Alen 9 Cui, Tiangang 9 Führer, Thomas 9 Stadler, Georg 8 Petra, Noemi 7 Barone, Matthew F. 7 Navon, Ionel Michael 7 Saibaba, Arvind Krishna 7 Villa, Umberto E. 6 Girolami, Mark A. 6 Gugercin, Serkan 6 Kalashnikova, Irina 6 Karkulik, Michael 6 Keith, Brendan 6 San, Omer 5 Borggaard, Jeff T. 5 Chan, Jesse 5 Fang, Fangxin 5 Farhat, Charbel H. 5 Nguyen, Ngoc Cuong 5 Peherstorfer, Benjamin 5 Roberts, Nathan V. 5 Schwab, Christoph 4 Amsallem, David 4 Benner, Peter 4 Burazin, Krešimir 4 Durlofsky, Louis J. 4 Erceg, Marko 4 Fung, Samy Wu 4 Kang, Shinhoo 4 Li, Jinglai 4 Muga, Ignacio 4 Pardo, David 4 Rozza, Gianluigi 4 Stuart, Andrew M. 4 Tenorio, Luis 4 Tong, Xin Thomson 3 Aguado, Jose Vicente 3 Alger, Nick 3 Allison, P. A. 3 Antonić, Nenad 3 Bacuta, Constantin 3 Bardsley, Johnathan M. 3 Bordas, Stéphane Pierre Alain 3 Calo, Victor Manuel 3 Capistrán, Marcos A. 3 Chinesta, Francisco 3 Chung, Julianne M. 3 Cueto, Elias 3 de Sturler, Eric 3 Deng, Zhiliang 3 Fairbanks, Hillary R. 3 Fuentes, Federico 3 Gassner, Gregor J. 3 Goddard, A. J. H. 3 Gorman, Gerard J. 3 Hesthaven, Jan S. 3 Iollo, Angelo 3 Jacavage, Jacob 3 Jia, Junxiong 3 Kerfriden, Pierre 3 Kilmer, Misha E. 3 Lan, Shiwei 3 Lie, Han Cheng 3 Manzoni, Andrea 3 Maulik, Romit 3 Morzfeld, Matthias 3 Muñoz-Matute, Judit 3 Muralikrishnan, Sriramkrishnan 3 Nair, Prasanth B. 3 Nicholson, Ruanui 3 Pain, Christopher C. 3 Parish, Eric J. 3 Piggott, Matthew D. 3 Schönlieb, Carola-Bibiane 3 Shadid, John N. 3 Teckentrup, Aretha L. 3 Valkonen, Tuomo 3 van Bloemen Waanders, Bart G. 3 Vassilevski, Panayot Spirov 3 Wang, Zhu 3 Wohlmuth, Barbara I. 2 Abisset-Chavanne, Emmanuelle 2 Agapiou, Sergios 2 Ahmed, Mansoor 2 Anitescu, Mihai 2 Arunajatesan, Srinivasan 2 Audouze, Christophe 2 Baiges, Joan 2 Beattie, Christopher A. 2 Bell, John B. 2 Bergmann, Michel ...and 629 more Authors
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### Cited in 80 Serials

 51 Computer Methods in Applied Mechanics and Engineering 51 Journal of Computational Physics 46 SIAM Journal on Scientific Computing 29 Computers & Mathematics with Applications 23 SIAM/ASA Journal on Uncertainty Quantification 18 Inverse Problems 18 International Journal for Numerical Methods in Engineering 12 Journal of Scientific Computing 11 Advances in Computational Mathematics 7 International Journal for Numerical Methods in Fluids 7 Journal of Computational and Applied Mathematics 7 Computational Methods in Applied Mathematics 7 Inverse Problems and Imaging 6 SIAM Journal on Numerical Analysis 5 Mathematics of Computation 5 Computational Mechanics 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Computational Geosciences 4 Archives of Computational Methods in Engineering 3 Journal of Mathematical Analysis and Applications 3 Numerical Methods for Partial Differential Equations 3 Applied Mathematical Modelling 3 Journal of Mathematical Imaging and Vision 3 Optimization and Engineering 3 Inverse Problems in Science and Engineering 3 SIAM Journal on Imaging Sciences 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Computers and Fluids 2 Numerische Mathematik 2 Statistical Science 2 Computational Optimization and Applications 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Acta Numerica 2 Communications in Computational Physics 2 Statistics and Computing 2 Results in Applied Mathematics 1 Applicable Analysis 1 Journal of Fluid Mechanics 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Mathematical Methods in the Applied Sciences 1 Transport Theory and Statistical Physics 1 Wave Motion 1 Applied Mathematics and Computation 1 Calcolo 1 Journal of the American Statistical Association 1 Journal of Differential Equations 1 Journal of Statistical Planning and Inference 1 Numerical Functional Analysis and Optimization 1 Systems & Control Letters 1 Chinese Annals of Mathematics. Series B 1 Physica D 1 Applied Numerical Mathematics 1 Computational Statistics 1 International Journal of Computer Mathematics 1 SIAM Review 1 Computational and Applied Mathematics 1 Mathematical Problems in Engineering 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Vietnam Journal of Mathematics 1 Soft Computing 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Mathematical and Computer Modelling of Dynamical Systems 1 Communications in Nonlinear Science and Numerical Simulation 1 Methodology and Computing in Applied Probability 1 Foundations of Computational Mathematics 1 Communications on Pure and Applied Analysis 1 Computational Methods and Function Theory 1 Milan Journal of Mathematics 1 International Journal of Computational Methods 1 Mediterranean Journal of Mathematics 1 Complex Analysis and Operator Theory 1 Electronic Journal of Statistics 1 The Annals of Applied Statistics 1 GEM - International Journal on Geomathematics 1 Journal of Mathematics in Industry 1 Journal of Theoretical Biology 1 Foundations of Data Science 1 SIAM Journal on Mathematics of Data Science 1 Fixed Point Theory and Algorithms for Sciences and Engineering
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### Cited in 30 Fields

 303 Numerical analysis (65-XX) 132 Partial differential equations (35-XX) 104 Statistics (62-XX) 98 Fluid mechanics (76-XX) 36 Mechanics of deformable solids (74-XX) 31 Calculus of variations and optimal control; optimization (49-XX) 30 Probability theory and stochastic processes (60-XX) 28 Computer science (68-XX) 22 Systems theory; control (93-XX) 20 Geophysics (86-XX) 19 Operations research, mathematical programming (90-XX) 17 Optics, electromagnetic theory (78-XX) 11 Information and communication theory, circuits (94-XX) 10 Dynamical systems and ergodic theory (37-XX) 10 Biology and other natural sciences (92-XX) 8 Operator theory (47-XX) 7 Approximations and expansions (41-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Functional analysis (46-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Ordinary differential equations (34-XX) 4 Mechanics of particles and systems (70-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 General and overarching topics; collections (00-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Measure and integration (28-XX) 1 Integral equations (45-XX) 1 General topology (54-XX) 1 Quantum theory (81-XX)