A note on the conservative schemes for the Euler equations. - Huazhong Tang; Tiegang Liu (J. Comput. Phys., 2006)

A Real Ghost Fluid Method for the Simulation of Multimedium Compressible Flow. - C. W. Wang; Tiegang Liu; Boo Cheong Khoo (SIAM J. Sci. Comput., 2006)

Runge-Kutta discontinuous Galerkin methods for compressible two-medium flow simulations: One-dimensional case. - Jianxian Qiu; Tiegang Liu; Boo Cheong Khoo (J. Comput. Phys., 2007)

An adaptive ghost fluid finite volume method for compressible gas-water simulations. - Chunwu Wang; Huazhong Tang; Tiegang Liu (J. Comput. Phys., 2008)

The Modified Ghost Fluid Method for Coupling of Fluid and Structure Constituted with Hydro-Elasto-Plastic Equation of State. - Tiegang Liu; Wenfeng Xie; Boo Cheong Khoo (SIAM J. Sci. Comput., 2008)

Implementation of the GRP scheme for computing radially symmetric compressible fluid flows. - Jiequan Li; Tiegang Liu; Zhongfeng Sun (J. Comput. Phys., 2009)

Accuracies and conservation errors of various ghost fluid methods for multi-medium Riemann problem. - Liang Xu; Tiegang Liu (J. Comput. Phys., 2011)

Multidomain Hybrid RKDG and WENO Methods for Hyperbolic Conservation Laws. - Jian Cheng 007; Yaowen Lu; Tiegang Liu (SIAM J. Sci. Comput., 2013)

A direct discontinuous Galerkin method for the compressible Navier-Stokes equations on arbitrary grids. - Jian Cheng 007; Xiaoquan Yang; Xiaodong Liu; Tiegang Liu; Hong Luo (J. Comput. Phys., 2016)

Parallel Implementation of Simultaneous Perturbation Stochastic Approximation with Adaptive Step Sizes. - Yue Fan; Tiegang Liu (ICACS, 2018)

Airfoil Optimization based on Isogeometric Discontinuous Galerkin. - Kun Wang 054; Shengjiao Yu; Tiegang Liu (ICACS, 2018)

A complete list of exact solutions for one-dimensional elastic-perfectly plastic solid Riemann problem without vacuum. - Si Gao; Tiegang Liu; Chengbao Yao (Commun. Nonlinear Sci. Numer. Simul., 2018)

Analysis and development of adjoint-based h-adaptive direct discontinuous Galerkin method for the compressible Navier-Stokes equations. - Jian Cheng 007; Huiqiang Yue; Shengjiao Yu; Tiegang Liu (J. Comput. Phys., 2018)

A high order compact least-squares reconstructed discontinuous Galerkin method for the steady-state compressible flows on hybrid grids. - Jian Cheng 007; Fan Zhang 043; Tiegang Liu (J. Comput. Phys., 2018)

Mesoscopic methods in engineering and science. - Cunbiao Lee; Tiegang Liu; Timothy Reis; Baolin Tian; Manfred Krafczyk; Li-Shi Luo (Comput. Math. Appl., 2019)

A variational reconstructed discontinuous Galerkin method for the steady-state compressible flows on unstructured grids. - Jian Cheng 007; Tiegang Liu (J. Comput. Phys., 2019)

A direct discontinuous Galerkin method for the incompressible Navier-Stokes equations on arbitrary grids. - Fan Zhang 043; Jian Cheng 007; Tiegang Liu (J. Comput. Phys., 2019)

Modified Ghost Fluid Method with Acceleration Correction (MGFM/AC). - Tiegang Liu; Chengliang Feng; Liang Xu (J. Sci. Comput., 2019)

Exponential boundary-layer approximation space for solving the compressible laminar Navier-Stokes equations. - Fan Zhang 043; Jian Cheng 007; Tiegang Liu (Adv. Comput. Math., 2020)

A discontinuous Galerkin method for the simulation of compressible gas-gas and gas-water two-medium flows. - Jian Cheng 007; Fan Zhang 043; Tiegang Liu (J. Comput. Phys., 2020)

A reconstructed discontinuous Galerkin method for incompressible flows on arbitrary grids. - Fan Zhang 043; Jian Cheng 007; Tiegang Liu (J. Comput. Phys., 2020)

A Quasi-Conservative Discontinuous Galerkin Method for Solving Five Equation Model of Compressible Two-Medium Flows. - Jian Cheng 007; Fan Zhang 043; Tiegang Liu (J. Sci. Comput., 2020)

A Characteristic-Featured Shock Wave Indicator for Conservation Laws Based on Training an Artificial Neuron. - Yiwei Feng; Tiegang Liu; Kun Wang 054 (J. Sci. Comput., 2020)

A characteristic-featured shock wave indicator on unstructured grids based on training an artificial neuron. - Yiwei Feng; Tiegang Liu (J. Comput. Phys., 2021)

Local-Maximum-and-Minimum-Preserving Solution Remapping Technique to Accelerate Flow Convergence for Discontinuous Galerkin Methods in Shape Optimization Design. - Jufang Wang; Tiegang Liu (J. Sci. Comput., 2021)

A High-Order Maximum-Principle-Satisfying Discontinuous Galerkin Method for the Level Set Problem. - Fan Zhang 043; Tiegang Liu; Moubin Liu (J. Sci. Comput., 2021)

A finite particle method based on a Riemann solver for modeling incompressible flows. - Fan Zhang 043; Can Huang; Huashan Zhang; Tiegang Liu; Moubin Liu (Comput. Math. Appl., 2022)

Riemann problem for constant flow with single-point heating source. - Changsheng Yu; Chengliang Feng; Zhiqiang Zeng; Tiegang Liu (Commun. Nonlinear Sci. Numer. Simul., 2022)

An interface treatment for two-material multi-species flows involving thermally perfect gases with chemical reactions. - Liang Xu; Wubing Yang; Tiegang Liu (J. Comput. Phys., 2022)

A Second-order Modified Ghost Fluid Method (2nd-MGFM) with Discontinuous Galerkin Method for 1-D compressible Multi-medium Problem with Cylindrical and Spherical Symmetry. - Xiaotao Zhang; Tiegang Liu; Changsheng Yu; Chengliang Feng; Zhiqiang Zeng; Kun Wang 054 (J. Sci. Comput., 2022)

LAI-Based Phenological Changes and Climate Sensitivity Analysis in the Three-River Headwaters Region. - Xiaoai Dai; Wenjie Fan 001; Yunfeng Shan; Yu Gao; Chao Liu 030; Ruihua Nie; Donghui Zhang; Weile Li; Lifu Zhang; Xuejian Sun; Tiegang Liu; Zhengli Yang; et al. (Remote. Sens., 2022)

Susceptibility Assessment of Flash Floods: A Bibliometrics Analysis and Review. - Le Duan; Chao Liu 030; Hui Xu; Huali Huali; Haizhi Liu; Xufeng Yan; Tiegang Liu; Zhengli Yang; Gang Liu 005; Xiaoai Dai; Donghui Zhang; Xiao Fu; et al. (Remote. Sens., 2022)

Meta-Analysis and Visualization of the Literature on Early Identification of Flash Floods. - Zhengli Yang; Xinyue Yuan; Chao Liu 030; Ruihua Nie; Tiegang Liu; Xiaoai Dai; Lei Ma 005; Min Tang; Yina Xu; Heng Lu 004 (Remote. Sens., 2022)

HODG:high-order discontinuous Galerkin methods for solving compressible Euler and Navier-Stokes equations - an open-source component-based development framework. - Xiaofeng He; Kun Wang 054; Tiegang Liu; Yiwei Feng; Bin Zhang; Weixiong Yuan; Xiaojun Wang (Comput. Phys. Commun., 2023)

A Well-Balanced Scheme for Euler Equations with Singular Sources. - Changsheng Yu; Tiegang Liu; Chengliang Feng (SIAM J. Sci. Comput., 2023)

A Physical-Constraint-Preserving Discontinuous Galerkin Method for Weakly Compressible Two-Phase Flows. - Fan Zhang 043; Jian Cheng 007; Tiegang Liu (J. Sci. Comput., 2023)

Investigation of discontinuous Galerkin methods in adjoint gradient-based aerodynamic shape optimization. - Yiwei Feng; Lili Lv; Tiegang Liu; Kun Wang; Bangcheng Ai (CoRR, 2024)

Physics-constrained neural networks as multi-material Riemann solvers for compressible two-gas simulations. - Liang Xu; Ziyan Liu; Yiwei Feng; Tiegang Liu (J. Comput. Sci., 2024)

Earlier Spring-Summer Phenology and Higher Photosynthetic Peak Altered the Seasonal Patterns of Vegetation Productivity in Alpine Ecosystems. - Fan Yang; Chao Liu 030; Qianqian Chen; Jianbin Lai; Tiegang Liu (Remote. Sens., 2024)

Unsupervised neural-network solvers for multi-material Riemann problems. - Liang Xu; Ziyan Liu; Yiwei Feng; Tiegang Liu (Comput. Phys. Commun., 2025)

Stabilized P2-DG method with artificial viscosity for steady hyperbolic conservation laws. - Kui Cao; Weixiong Yuan; Bin Zhang; Yiwei Feng; Tiegang Liu (J. Comput. Phys., 2025)

GPGPU-based heterogeneous parallel implementation of direct discontinuous Galerkin methods. - Jiaxin Wang; Kun Wang 054; Zhen-Guo Yan; Xiaofeng He; Tiegang Liu (Math. Comput. Simul., 2025)

Exponential Approximation Space Based Finite Volume WENO Scheme for Solving the Five-equation Model of Compressible Two-medium Flows. - Fan Zhang; Yang Zhang; Jian Cheng; Tiegang Liu (J. Sci. Comput., 2025)