Search Results

• An Implicit Algorithm for High-Order DG/FV Schemes for Compressible Flows on 2D Arbitrary Grids

  Laiping Zhang, Ming Li, Wei Liu, Xin He

  2018-04-02

  42693 4445 Pages:287-316

• Modified Upwinding Compact Scheme for Shock and Shock Boundary Layer Interaction

  Chaoqun Liu, Ping Lu, Maria Oliveira, Peng Xie

  2012-11-01

  43956 3066972 Pages:1022-1042

• A Finite Volume Method for the Multi Subband Boltzmann Equation with Realistic 2D Scattering in Double Gate MOSFETs

  Tiao Lu, Gang Du, Xiaoyan Liu, Pingwen Zhang

  2011-10-01

  38386 4025 Pages:305-338

• A Fourth Order Numerical Method for the Primitive Equations Formulated in Mean Vorticity

  Jian-Guo Liu, Cheng Wang

  2008-04-01

  38864 4275 Pages:26-55

• Development of Cartesian Grid Method and Local Grid Refinement for Discrete Velocity Method

  Zijian Liu, Songze Chen, Shiyi Chen

  2025-08-08

  4630 482 Pages:375-403

• A Kolmogorov High Order Deep Neural Network for High Frequency Partial Differential Equations in High Dimensions

  Yaqin Zhang, Ke Li, Zhipeng Chang, Xuejiao Liu, Yunqing Huang, Xueshuang Xiang

  2025-07-11

  5311 813 Pages:181-222

• Low-Dissipation Central-Upwind Schemes for Elasticity in Heterogeneous Media

  Alexander Kurganov, Zepei Liu, Michael Pollack, Ruixiao Xin

  2025-07-11

  5195 577 Pages:156-180

• Finite Difference Approximation with ADI Scheme for Two-Dimensional Keller-Segel Equations

  Yubin Lu, Chi-An Chen, Xiaofan Li, Chun Liu

  2024-06-14

  27957 1861 Pages:1352-1386

• An Improved Diffuse-Interface Lattice Boltzmann Method for Particulate Flows

  Jiao Liu, Zhenhua Chai, Baochang Shi

  2024-06-14

  28345 1906 Pages:1309-1326

• A Causality-DeepONet for Causal Responses of Linear Dynamical Systems

  Lizuo Liu, Kamaljyoti Nath, Wei Cai

  2024-06-14

  36338 1858 Pages:1194-1228

• An Efficient High-Order Gas-Kinetic Scheme with Hybrid WENO-AO Method for the Euler and Navier-Stokes Solutions

  Junlei Mu, Congshan Zhuo, Qingdian Zhang, Sha Liu, Chengwen Zhong

  2024-04-10

  24751 2102 Pages:662-692

• A Second Order Numerical Scheme of the Cahn-Hilliard-Navier-Stokes System with Flory-Huggins Potential

  Wenbin Chen, Jianyu Jing, Qianqian Liu, Cheng Wang, Xiaoming Wang

  2024-04-10

  25057 2144 Pages:633-661

• Maximum-Principle-Preserving, Steady-State-Preserving and Large Time-Stepping High-Order Schemes for Scalar Hyperbolic Equations with Source Terms

  Lele Liu, Hong Zhang, Xu Qian, Songhe Song

  2024-03-13

  25047 2131 Pages:498-523

• A Conservative and Positivity-Preserving Method for Solving Anisotropic Diffusion Equations with Deep Learning

  Hui Xie, Li Liu, Chuanlei Zhai, Xuejun Xu, Heng Yong

  2024-03-13

  26362 2302 Pages:467-497

• High-Order Adaptive Dissipation Scheme Based on Vortex Recognition for Compressible Turbulence Flow

  Jiahong Cai, Shengye Wang, Wei Liu

  2024-03-13

  26202 2193 Pages:395-426

• Energy-Preserving Hybrid Asymptotic Augmented Finite Volume Methods for Nonlinear Degenerate Wave Equations

  Wenju Liu, Yanjiao Zhou, Zhiyue Zhang

  2024-03-13

  26514 2252 Pages:313-368

• A Unified Gas-Kinetic Particle Method for Frequency-Dependent Radiative Transfer Equations with Isotropic Scattering Process on Unstructured Mesh

  Yuan Hu, Chang Liu, Huayun Shen, Shiyang Zou, Baolin Tian

  2024-01-31

  29046 2586 Pages:181-211

• An Adaptive Method Based on Local Dynamic Mode Decomposition for Parametric Dynamical Systems

  Qiuqi Li, Chang Liu, Mengnan Li, Pingwen Zhang

  2024-01-31

  29473 2831 Pages:38-69

• Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Scheme for the Thermal Rotating Shallow Water Equations

  Yangyang Cao, Alexander Kurganov, Yongle Liu

  2023-11-08

  30647 2607 Pages:993-1042

• Neural Networks with Local Converging Inputs (NNLCI) for Solving Conservation Laws, Part II: 2D Problems

  Haoxiang Huang, Vigor Yang, Yingjie Liu

  2023-11-08

  77168 3676 Pages:907-933

• Ghost-Fluid-Based Sharp Interface Methods for Multi-Material Dynamics: A Review

  Liang Xu, Tiegang Liu

  2023-10-07

  36190 2982 Pages:563-612

• A Genuinely Two-Dimensional HLL-Type Approximate Riemann Solver for Hypo-Elastic Plastic Flow

  Zhiqiang Zeng, Chengliang Feng, Xiaotao Zhang, Shengtao Zhang, Tiegang Liu

  2023-09-04

  34995 2882 Pages:318-356

• Neural Networks with Local Converging Inputs (NNLCI) for Solving Conservation Laws, Part I: 1D Problems

  Haoxiang Huang, Vigor Yang, Yingjie Liu

  2023-09-04

  35585 2858 Pages:290-317

• Random Walk Approximation for Irreversible Drift-Diffusion Process on Manifold: Ergodicity, Unconditional Stability and Convergence

  Yuan Gao, Jian-Guo Liu

  2023-08-14

  33165 3299 Pages:132-172

• Fast-Converging and Asymptotic-Preserving Simulation of Frequency Domain Thermoreflectance

  Jia Liu, Lei Wu

  2023-08-14

  34350 3915 Pages:65-93

• Solution Remapping Method with Lower Bound Preservation for Navier-Stokes Equations in Aerodynamic Shape Optimization

  Bin Zhang, Weixiong Yuan, Kun Wang, Jufang Wang, Tiegang Liu

  2023-06-06

  39160 2929 Pages:1381-1408

• Numerical Reconstruction of Locally Rough Surfaces with a Newton Iterative Algorithm

  Meng Liu, Jiaqing Yang

  2023-04-28

  32510 2853 Pages:884-911