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Tan Bui-ThanhProfessorHolder of the endowed Marion E. Forsman Centennial Professorship in Engineering Fellow of the endowed Paul D. and Betty Robertson Meek Centennial Professorship in Engineering Director of the Center for Scientific Machine Learning at the Oden Institute Editorial Board member of the Elsevier Computers & Mathematics with Applications since 03/2021 Editorial Board member of the Taylor & Francis Data Science in Science since 09/2025 Leader of Pho-Ices Group Department of Aerospace Engineering and Engineering Mechanics The Oden Institute for Computational Engineering and Sciences The University of Texas at Austin
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Shinhoo Kang, Hai V. Nguyen, and Tan Bui-Thanh, Learning Chaotic Dynamics through Second-Order Geometric Supervision, arXiv preprint, Submitted , 2026.
C.G. Krishnanunni, Thomas Scott, and Tan Bui-Thanh, An optimal control approach for neural network architecture adaptation with a posteriori error estimation, arXiv preprint, Submitted , 2026.
Thomas A. Scott, Lukas Taus, Yen-Hsi Richard Tsai, Tan Bui-Thanh, and Justin G. R. Delva, Rendezvous Planning from Sparse Observations of Optimally Controlled Targets, arXiv preprint, arXiv:2604.01428 , 2026.
Tan Bui-Thanh, Adjoint and Its roles in Sciences, Engineering, and Mathematics, SIAM Book in progress , 2024.
C. G. Krishnanunni, Jonathan Wittmer, Tan Bui-Thanh, and Quoc P. Nguyen, A New Look at the Ensemble Kalman Filter for Inverse Problems: Duality, Non-Asymptotic Analysis and Convergence Acceleration, Inverse Problems, Submitted , 2026.
Alois Duston and Tan Bui-Thanh, Variance-Reduced Diffusion Sampling via Conditional Score Expectation Identity, SIAM SISC, Submitted , 2026.
Giancarlo Villatoro, C. G. Krishnanunni, and Tan Bui-Thanh, From an Elementary Proof of Error Representation for Hermite Quadrature to a Rediscovery of Legendre Polynomials and Rodrigues Formula, SIURO, Submitted , 2026.
Alois Duston, Tan Bui-Thanh, Laplace--Fisher Gate Identities for Optimal Matrix-Gated Blended Score Estimation, Arxiv Manuscript, 2026.
C.G. Krishnanunni, Tan Bui-Thanh, Topological derivative approach for deep neural network architecture adaptation, SIAM Journal for Scientific Computing, Accepted , 2026.
Hoang Tran, Hao Li,, Vinh Ngoc Tran,, Tam V Nguyen, Manh-Hung Le, Thanh Duc Dang, Hong Xuan Do, Hung T. Pham, Tan Bui-Thanh, L. Ruby Leung, Short-Term Hourly Weather Forecasting using PredRNN with Image Preprocessing, Journal of Geophysical Research - Machine Learning and Computation, Open Access July, 2026.
William Cole Nockolds, C. G. Krishnanunni, Tan Bui-Thanh, and Xianxhu Tang, LiLaN: A Linear Latent Network as the Solution Operator for Real-Time Solutions to Stiff Nonlinear Ordinary Differential Equations, Machine Learning for Computational Science and Engineering, Volume 2, article number 19 , May 2026.
Tan Bui-Thanh, The AI Research Assistant: Promise, Peril, and a Proof of Concept, IEEE Computing in Science and Engineering, In production , 2026.
Jamie Mahowald, Tan Bui-Thanh, Generalization Limits of In-Context Operator Networks for Higher-Order Partial Differential Equations, SIAM Undergraduate Research Online, Accepted , March 2026.
Tonini, A., Bui-Thanh, T., Regazzoni, F., Dede, L., & Quarteroni, A., Improvements on uncertainty quantification with variational autoencoders, Mathematical Models and Methods in Applied Sciences, 36(04), 787–823 2026.
Hai V. Nguyen, Tan Bui-Thanh, and Clint Dawson, TAEN: A mode-constrained Tikhonov Autoencoder Network for Forward and Inverse Problems, Computer Methods in Applied Mechanics and Engineering , Volume 446, Part A, 1 November 2025, 118245 , 2025.
C.G. Krishnanunni, Tan Bui-Thanh, An Adaptive and Stability-Promoting Layerwise Training Approach for Sparse Deep Neural Network Architecture, Computer Methods in Applied Mechanics and Engineering, Volume 441, 1 June 2025, 117938 , 2025.
Hai Van Nguyen, Jau-Uei Chen, Tan Bui-Thanh, A model-constrained Discontinuous Galerkin Network (DGNet) for Compressible Euler Equations with Out-of-Distribution Generalization, Computer Methods in Applied Mechanics and Engineering, Volume 440, 15 May 2025, 117912 , 2025.
L. Leticia RamÃÂrez-RamÃÂrez, José A. Montoya, Jesús F. Espinoza, Chahak Mehta, Albert Orwa Akuno, Tan Bui-Thanh, Use of mobile phone sensing data to estimate residence and mobility times in urban patches during the COVID-19 epidemic: The case of the 2020 outbreak in Hermosillo, Computational Urban Science, Volume 5, article 10 , 2025.
Jau-Uei Chen, Tamas Horvath, and Tan Bui-Thanh, A Divergence-Free and H(div)-Conforming Embedded-Hybridized DG Method for the Incompressible Resistive MHD equations, Computer Methods in Applied Mechanics and Engineering, 423, Part A, 117415 , December, 2024.
Tri Pham, Quoc Nguyen, and Tan Bui-Thanh. Microseismic events based characterization of fractal fracture network, Fuels, MDPI , 5, 839-856, https://doi.org/10.3390/fuels5040047, November, 2024.
Jau-Uei Chen, Shinhoo Kang, Tan Bui-Thanh, and John Shadid, Unified hp-HDG Frameworks for Friedrichs' PDE systems, Computer & Mathematics with Applicationsv, Volume 154, Pages 236-266, 15 January 2024.
Bui-Thanh, T., A Unified and Constructive Framework for the Universality of Neural Networks, The IMA Journal of Applied Mathematics, hxad032 , November, 2023.
Nguyen, H., and Bui-Thanh, T., Model-Constrained Deep Learning Approaches for Inverse Problems , SIAM Journal of Scientific Computing, 41(1), C77-C100 , January 2024.
Russell Philley, Hai V. Nguyen, and Tan Bui-Thanh, Model-constrained uncertainty quantification for scientific deep learning of inverse solutions, the XLIV Iberto-Latin American Congress on Computational Mechanics in Engineering, Refereed proceeding , November, 2023.
Jonathan Wittmer, Jacob Badger, Hari Sundar, and Tan Bui-Thanh. An Autoencoder Compression Approach for Accelerating Large-scale Inverse Problems, Inverse Problems, 39 115009 , October, 2023.
Albert Orwa Akuno, L. Leticia Ramirez-Ramirez, Chahak Mehta, Krishnanunni C.G., Bui-Thanh, T., and Jose Arturo Montoya, Multi-patch epidemic models with partial mobility, residency, and demography, , Chaos, Solitons & Fractals , Volume 173, August, 113690 , 2023.
Jonathan Wittmer, Krishnanunni C.G, Hai V. Nguyen, and Tan Bui-Thanh. On Unifying Randomized Methods for Inverse Problems, Inverse Problems, Volume 39, Number 7 , 075010, June, 2023.
Nguyen, H., and Bui-Thanh, T., A Model-Constrained Tangent Manifold Learning Approach for Dynamical Systems , International Journal of Computational Fluid Dynamics, 36(7) , 655-685, February 10, 2023.
Muralikrishnan, S., Shannon, S., Bui-Thanh, T., and Shadid, J., A Multilevel Block Preconditioner for the HDG Trace System Applied to Incompressible Resistive MHD , Computer Methods in Applied Mechanics and Engineering, 401 , 115775, February 1, 2023.
Lee, J., Bui-Thanh, T., Villa, U., Ghattas, O., Forward and inverse modelings of fault transmissibility in subsurface flows, Computers & Mathematics with Applications, 128 , 354-367, December 15, 2022.
Ella Steins, Tan Bui-Thanh, Michael Herty, and Siegfried Muller, Probabilistic Constrained Bayesian Inversion for Transpiration Cooling, , Int J Numer Meth Fluids, 94(12) , 2020â 2039, 2022.
Bui-Thanh, T., Li, Q., and Zepeda-Nunez, L., Bridging and Improving Theoretical and Computational Electric Impedance Tomography via Data Completion, SIAM Journal on Scientific Computing, 44(3) , B668-B693, 2022.
Wenbo Zhang, David S. Li, Tan Bui-Thanh, and Michael S. Sacks, Simulation of the 3D Hyperelastic Behavior of Ventricular Myocardium using a Finite-Element Based Neural-Network Approach, Computer Methods in Applied Mechanics and Engineering, Volume 394 , 114871, 2022.
Hai Nguyen, Jonathan Wittmer, and Tan Bui-Thanh, DIAS: A Data-Informed Active Subspace regularization framework for inverse problems , MDPI Computation, 10 (38) , https://doi.org/10.3390/computation10030038, 2022.
Wenbo Zhang, David S. Li, Tan Bui-Thanh, and Michael S. Sacks, High-Speed Simulation of the 3D Behavior of Myocardium Using a Neural Network PDE Approach , Functional Imaging and Modeling of the Heart, Lecture Notes in Computer Science, Issue 6 , Editor: Ennis, Daniel B. and Perotti, Luigi E. and Wang, Vicky Y., page: 416--424, June, 2021.
Bui-Thanh, T., The Optimality of Bayes' Theorem , SIAM News, Volume 54, Issue 6 , July/August, 2021.
Goh, H., Sheriffdeen, S., Jonathan Wittmer, and Bui-Thanh, T., Solving Bayesian Inverse Problems via Variational Autoencoders , Proceeding of Machine Learning Research, 2nd Annual Conference on Mathematical and Scientific Machine Learning, Volume 145, August, 2021.
Kang, S., and Bui-Thanh, T., A scalable exponential-DG approach for nonlinear conservation laws: with application to Burger and Euler equations , Computer Methods in Applied Mechanics and Engineering, Volume 385 , 1 November 2021, 114031.
Zhang, W., Rossini, G., Bui-Thanh, T., and Sacks, M., The integration of structure and high-fidelity material models in heart valve simulations using machine learning , International Journal for Numerical Methods in Biomedical Engineering, Volume 37, Issue 4, e3438 , April 2021.
Jonathan Wittmer and Tan Bui-Thanh, Data-Informed Regularization For Inverse and Imaging Problems , Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging, In Production , 2020.
Ilona Ambartsumyan, Wajih Boukaram, Tan Bui-Thanh, Omar Ghattas, David Keyes, Georg Stadler, George Turkiyyah, and Stefano Zampini, Hierarchical Matrix Approximations of Hessians arising in Inverse Problems Governed by PDEs , SIAM Journal on Scientific Computing, , 42(5), A3397-A3426, 2020.
Aaron Myers, Alexandre H. Thiery, Kainan Wang, and Tan Bui-Thanh, Sequential Ensemble Transform for Bayesian Inverse Problems , Journal of Computational Physics,110055, 2020.
Goh, H., Sheriffdeen, S., and Bui-Thanh, T., Solving Bayesian Inverse Problems via Autoencoders , 2019.
Sheroze Sheriffdeen, Jean C. Ragusa, Jim E. Morel, Marvin L. Adams, and Tan Bui-Thanh, Accelerating PDE-constrained Inverse Solutions with Deep Learning and Reduced Order Models , Submitted , 2019.
Nick Alger, Vishwas Rao, Aaron Myers, Tan Bui-Thanh, and Omar Ghattas, Scalable matrix-free adaptive product-convolution approximation for locally translation-invariant operators , SIAM Journal on Scientific Computing, 41(4), A2296--A2328, 2019
Muralikrishnan, S., Bui-Thanh, T., and Shadid, J., A Multilevel Approach for Trace System in HDG Discretizations, Journal of Computational Physics, 407, 109240, 2020.
Wildey, T., Muralikrishnan, S., and Bui-Thanh, T., Unified geometric multigrid algorithm for hybridized high-order finite element methods, SIAM Journal on Scientific Computing, , 41(5), S172-S195, 2019.
Kang, S., Giraldo, F.X., and Bui-Thanh, T., IMEX HDG-DG: a coupled implicit hybridized discontinuous Galerkin (HDG) and explicit discontinuous Galerkin (DG) approach for shallow water systems , Journal of Computational Physics, 401, 109010, 15 January 2020.
Lee, J., Shannon, S., Bui-Thanh, T., and Shadid, J., Analysis of an HDG method for linearized incompressible resistive MHD equations , SIAM Journal of Numerical Analysis , 57(4), 1697âÃÂÃÂ1722, 2019.
Kang, S., Bui-Thanh, T., and Arbogast, T., A hybridized discontinuous Galerkin method for a linear degenerate elliptic equation arising from two-phase mixtures , Comput. Methods Appl. Mech. Engrg ,350, pp. 315-336, 2019.
Muralikrishnan, S., Tran, M.B., and Bui-Thanh, T., An improved iterative HDG approach for partial differential equations, Journal of Computational Physics , 367, pp. 295-321, 2018.
Wang, K., Bui-Thanh, T., and Ghattas, O., A Randomized Maximum A Posteriori Method for Posterior Sampling of High Dimensional Nonlinear Bayesian Inverse Problems , SIAM Journal on Scientific Computing , 40(1), pp. A142--A171, 2018.
Alger, N., Villa, U., Bui-Thanh, T., and Ghattas, O., A Data Scalable Augmented Lagrangian KKT Preconditioner for Large-scale Inverse Problems , SIAM Journal on Scientific Computing , 39(5), pp. A2365-A2393, 2017.
Lin, Y., Le, E.B., O'Malley, D., Vesselinov, V.V., and Bui-Thanh, T., Large-Scale Inverse Model Analyses Employing Fast Randomized Data Reduction , Water Resources Research , 53(8), pp. 6784--6801, 2017.
Muralikrishnan, S., Tran, M-B, and Bui-Thanh, T., iHDG: an iterative HDG Framework for Partial Differential Equations , SIAM Journal on Scientific Computing , 39(5), pp. S782--S808, 2017.
Le, E., Myers, A., Bui-Thanh, T., and Nguyen, Q. P., A Randomized Misfit Approach for Data Reduction in Large-Scale Inverse Problems , Inverse Problems , 33(6), 065003, 2017.
Bui-Thanh, T., Construction and Analysis of HDG Methods for Linearized Shallow Water Equations , SIAM Journal on Scientific Computing , 38(6),pp. A3696--A3719, 2016.
Bui-Thanh, T., and Q. Nguyen, FEM-Based Discretization-Invariant MCMC Methods for PDE-constrained Bayesian Inverse Problems , Inverse Problems and Imaging , 10(4), pp. 943--975, 2016.
Constantine, P.G., Kent, C., and Bui-Thanh, T., Accelerating MCMC with active subspaces , SIAM Journal on Scientific Computing , 38(5), pp. A2779--A2805 , 2016.
Lan, S., Bui-Thanh, T., Christie, M., and Girolami, M., Emulation of higher-order tensors in manifold Monte Carlo methods for Bayesian Inverse Problems , Journal of Computational Physics , 308, 81--101, 2016.
Bui-Thanh, T. , From Rankine-Hugoniot Condition to a Constructive Derivation of HDG Methods , in Lecture Notes in Computational Science and Engineering: Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014 , 2015.
Bui-Thanh, T., From Godunov to A Unified Hybridized Discontinuous Galerkin Framework , Journal of Computational Physics , 295, pp. 114-146, 2015.
Wilcox, L., Stadler, G., Bui-Thanh, T., and Ghattas, O., Discretely exact derivatives for hyperbolic PDE-constrained optimization problems discretized by the discontinuous Galerkin method , Journal of Scientific Computing , 63, pp. 138--162, 2015.
Bui-Thanh, T., and Ghattas, O., A Scalable MAP Solver for Bayesian Inverse Problems with Besov Priors , Inverse Problems and Imaging , 9(1), pp. 27--53, 2015.
Bui-Thanh, T., and Ghattas, O., Bayes is Optimal , ICES report 15-04 , 2015.
Bui-Thanh, T., and Girolami, M., Solving Large-scale PDE-Constrained Bayesian Inverse Problems With Riemann Manifold Hamiltonian Monte Carlo , Inverse Problems, Special issue , 30, 114014, 2014.
Bui-Thanh, T., and Ghattas, O., A PDE-constrained Optimization Approach to the Discontinuous Petrov-Galerkin Method with a Trust Region Inexact Newton-CG Solver , Comput. Methods Appl. Mech. Engrg. , 278, pp. 20--40, 2014.
Bui-Thanh, T., and Ghattas, O., An Analysis of Infinite Dimensional Bayesian Inverse Shape Acoustic Scattering and its Numerical Approximation , SIAM Journal on Uncertainty Quantification , 2, pp. 203--222, 2014.
Roberts, N., Bui-Thanh, T., and Demkowicz, D., The DPG Method for the Stokes Problem , Computers & Mathematics with Applications , 67, pp. 966--995, 2014.
Chan, J., Heuer, N., Bui-Thanh, T., and Demkowicz, D., Robust DPG method for convection-dominated diffusion problems II: a natural in flow condition , Computers & Mathematics with Applications , 67, pp. 771--795, 2014.
Bui-Thanh, T., Ghattas, O., Martin, J., and Stadler, G., A computational framework for infinite-dimensional Bayesian inverse problems. Part I: The linearized case, with application to global seismic inversion , SIAM Journal on Scientific Computing , 35(6), pp. A2494--A2523, 2013.
Bui-Thanh, T., and Ghattas, O., Analysis of the Hessian for Inverse Scattering Problems. Part III: Inverse Medium Scattering of Electromagnetic Waves in Three Dimensions , Inverse Problems and Imaging, 7(4), pp. 1139--1155, 2013.
Bui-Thanh, T., Demkowicz, L., and Ghattas, O., A Unified Discontinuous Petrov-Galerkin Method and its Analysis for Friedrichs' Systems , SIAM Journal on Numerical Analysis , 51(4), pp. 1933--1958, 2013.
Bui-Thanh, T., Demkowicz, L., and Ghattas, O., Constructively Well-Posed Approximation Methods with Unity Inf-Sup and Continuity Constants for Partial Differential Equations , Mathematics of Computation , 82(284), pp. 1923--1952, 2013.
Bui-Thanh, T., Burstedde, C., Ghattas, O., Martin, J., Stadler, G., and Wilcox, L.C., Extreme-scale UQ for Bayesian inverse problems governed by PDEs , ACM/IEEE Supercomputing SC12, Gordon Bell Prize Finalist , Salt Lake City, Utah, 2012.
Bui-Thanh, T., and Ghattas, O., A Scaled Stochastic Newton Algorithm for Markov Chain Monte Carlo Simulations , SIAM Journal on Uncertainty Quantification , Submitted, 2012.
Bui-Thanh, T., A Gentle Tutorial on Statistical Inversion using the Bayesian Paradigm , ICES Report 12-18 , 2012.
Bui-Thanh, T., Ghattas, O., and Higdon, D., Adaptive Hessian-based Non-stationary Gaussian Process Response Surface Method for Probability Density Approximation with Application to Bayesian Solution of Large-scale Inverse Problems , SIAM Journal on Scientific Computing , 34(6), pp. A2837--A2871, 2012.
Bui-Thanh, T., and Ghattas, O., Analysis of the Hessian for Inverse Scattering Problems. Part I: Inverse Shape Scattering of Acoustic Waves , In 2013 Highlight Collection of Inverse Problems, 28, 055001, 2012.
Bui-Thanh, T., and Ghattas, O., Analysis of the Hessian for Inverse Scattering Problems. Part II: Inverse Medium Scattering of Acoustic Waves , Inverse Problems, 28, 055002, 2012.
Bui-Thanh, T., and Ghattas, O., An Analysis of a Non-conforming hp-Discontinuous Galerkin Spectral Element Method for Wave Propagations , SIAM Journal on Numerical Analysis , 50(3), pp. 1801--1826, 2012.
Bui-Thanh, T., Demkowicz, L., and Ghattas, O., A Relation between the Discontinuous Petrov--Galerkin Method and the Discontinuous Galerkin Method , ICES Report ICES 11-45 , December, 2011.
Wadley, H.N.G., Dharmasena, K.P., He, M.Y., McMeeking, R. M., Evans, A. G., Bui-Thanh, T., and Radovitzky, R., An active concept for limiting injuries caused by air blasts , International Journal of Impact Engineering, 37(3), pp. 317--323, 2010.
Bui-Thanh, T., Willcox, K., and Ghattas, O., Parametric Reduced-Order Models for Probabilistic Analysis of Unsteady Aerodynamic Applications , AIAA Journal , 46(10), pp. 2520--2529, 2008.
Bui-Thanh, T., Willcox, K., and Ghattas, O., Model Reduction for Large-Scale Systems with High-Dimensional Parametric Input Space , SIAM Journal on Scientific Computing , 30(6), pp. 3270--3288, 2008.
Bui-Thanh, T., Willcox, K., Ghattas, O., van Bloemen Waanders, B., Goal-Oriented, Model-Constrained Optimization for Reduction of Large-Scale Systems , Journal of Computational Physics , Vol. 224, pp. 880--896, 2007.
Bui-Thanh, T., Damodaran, M. and Willcox, K., Aerodynamic Data Reconstruction and Inverse Design using Proper Orthogonal Decomposition , AIAA Journal , 42(8), pp. 1505--1516, 2004.
Bui-Thanh, T., Model-Constrained Optimization Methods for Reduction of Parameterized Large-Scale Systems , Ph.D thesis , Department of Aeronautics and Astronautics, MIT, 2007.
Bui-Thanh, T., Proper Orthogonal Decomposition Extensions and Their Applications in Steady Aerodynamics , Master thesis , High Performance Computation for Engineered Systems, Singapore-MIT Alliance, 2003.