A well-balanced unified gas-kinetic scheme for multiscale flow transport under gravitational field. - Tianbai Xiao; Qingdong Cai; Kun Xu 001 (J. Comput. Phys., 2017)

A velocity-space adaptive unified gas kinetic scheme for continuum and rarefied flows. - Tianbai Xiao; Chang Liu 036; Kun Xu 001; Qingdong Cai (J. Comput. Phys., 2020)

A structure-preserving surrogate model for the closure of the moment system of the Boltzmann equation using convex deep neural networks. - Steffen Schotthöfer; Tianbai Xiao; Martin Frank; Cory D. Hauck (CoRR, 2021)

A flux reconstruction kinetic scheme for the Boltzmann equation. - Tianbai Xiao (J. Comput. Phys., 2021)

A stochastic kinetic scheme for multi-scale plasma transport with uncertainty quantification. - Tianbai Xiao; Martin Frank (J. Comput. Phys., 2021)

A stochastic kinetic scheme for multi-scale flow transport with uncertainty quantification. - Tianbai Xiao; Martin Frank (J. Comput. Phys., 2021)

Using neural networks to accelerate the solution of the Boltzmann equation. - Tianbai Xiao; Martin Frank (J. Comput. Phys., 2021)

Kinetic.jl: A portable finite volume toolbox for scientific and neural computing. - Tianbai Xiao (J. Open Source Softw., 2021)

Structure Preserving Neural Networks: A Case Study in the Entropy Closure of the Boltzmann Equation. - Steffen Schotthöfer; Tianbai Xiao; Martin Frank; Cory D. Hauck (ICML, 2022)

Neural network-based, structure-preserving entropy closures for the Boltzmann moment system. - Steffen Schotthöfer; Tianbai Xiao; Martin Frank; Cory D. Hauck (CoRR, 2022)

A Well-Balanced Unified Gas-Kinetic Scheme for Multicomponent Flows under External Force Field. - Tianbai Xiao (Entropy, 2022)

RelaxNet: A structure-preserving neural network to approximate the Boltzmann collision operator. - Tianbai Xiao; Martin Frank (J. Comput. Phys., 2023)

Predicting continuum breakdown with deep neural networks. - Tianbai Xiao; Steffen Schotthöfer; Martin Frank (J. Comput. Phys., 2023)

A Flux Reconstruction Stochastic Galerkin Scheme for Hyperbolic Conservation Laws. - Tianbai Xiao; Jonas Kusch; Julian Koellermeier; Martin Frank (J. Sci. Comput., 2023)

KiT-RT: An Extendable Framework for Radiative Transfer and Therapy. - Jonas Kusch; Steffen Schotthöfer; Pia Stammer; Jannick Wolters; Tianbai Xiao (ACM Trans. Math. Softw., 2023)

Structure-Preserving Operator Learning: Modeling the Collision Operator of Kinetic Equations. - Jae Yong Lee; Steffen Schotthöfer; Tianbai Xiao; Sebastian Krumscheid; Martin Frank (CoRR, 2024)

An Efficient Explicit-Implicit Adaptive Method for Peridynamic Modelling of Quasi-Static Fracture Formation and Evolution. - Shiwei Hu; Tianbai Xiao; Mingshuo Han; Zuoxu Li; Erkan Oterkus; Selda Oterkus; Yonghao Zhang (CoRR, 2024)

A stochastic Galerkin lattice Boltzmann method for incompressible fluid flows with uncertainties. - Mingliang Zhong; Tianbai Xiao; Mathias J. Krause; Martin Frank; Stephan Simonis (J. Comput. Phys., 2024)

Research, Application and Future Prospect of Mode Decomposition in Fluid Mechanics. - Yun Long; Xi'an Guo; Tianbai Xiao (Symmetry, 2024)

Solving continuum and rarefied flows using differentiable programming. - Tianbai Xiao (J. Comput. Phys., 2025)