Search Results

• Explicit Form of Simplified Grad’s 13 Moments Distribution Function-Based Moment Gas Kinetic Solver with Unstructured Meshes for the Multiscale Rarefied Flow

  Wei Liu, Zijian Liu

  2026-01-14

  DOI:10.4208/aamm.OA-2025-0254

  1020 93 pp. 1576-1601

• Nonconforming Finite Element Method for the Obstacle Problem of the $p$-Laplacian

  H. Y. Liu, D. J. Liu

  2026-04-01

  DOI:10.4208/aamm.OA-2023-0280

  5140 342 pp. 434-449

• Physics-Informed Deep Learning Method for Surrogate Modeling in Elastic Mechanics

  Dan Li, Xinming Lu, Hongjuan Wang, Guibin Liu, Xin Liu

  2025-05-12

  DOI:10.4208/aamm.OA-2023-0253

  8825 602 pp. 1239-1258

• Numerical Simulations of the Richtmyer–Meshkov Instability of Solid-Vacuum Interface

  Xiangyi Liu, Zhiye Zhao, Nansheng Liu, Xiyun Lu

  2023-06-21

  DOI:10.4208/aamm.OA-2022-0282

  36765 3077 pp. 1166-1190

• A Modified Kernel Method for Solving Cauchy Problem of Two-Dimensional Heat Conduction Equation

  Jingjun Zhao, Songshu Liu, Tao Liu

  2018-03-29

  DOI:10.4208/aamm.12-m12113

  43104 4871 pp. 31-42

• Numerical Methods for Semilinear Fractional Diffusion Equations with Time Delay

  Shuiping Yang, Yubin Liu, Hongyu Liu, Chao Wang

  2021-11-18

  DOI:10.4208/aamm.OA-2020-0387

  50510 4492 pp. 56-78

• Legendre Neural Network for Solving Linear Variable Coefficients Delay Differential-Algebraic Equations with Weak Discontinuities

  Hongliang Liu, Jingwen Song, Huini Liu, Jie Xu, Lijuan Li

  2020-10-20

  DOI:10.4208/aamm.OA-2019-0281

  54295 5009 pp. 101-118

• A Buckley-Leverett Theory Based Lattice Boltzmann Method for Immiscible Two-Phase Flow with Viscous Coupling in Porous Media

  Yang Wang, Liang Shi, Yong Liu, Haihu Liu

  2024-02-29

  DOI:10.4208/aamm.OA-2022-0275

  27957 2733 pp. 692-714

• Numerical Study of Two-Winged Insect Hovering Flight

  Yanjun Liu, Nansheng Liu, Xiyun Lu

  2018-08-10

  DOI:10.4208/aamm.09-m0915

  40637 4123 pp. 481-509

• Numerical Study of Two-Winged Insect Hovering Flight

  Yanjun Liu, Nansheng Liu, Xiyun Lu

  2018-08-10

  DOI:10.4208/aamm.09-m0915

  40592 4159 pp. 481-509

• A Fast Implementation of the Linear Bond-Based Peridynamic Beam Model

  Hao Tian, Xianchu Yang, Chenguang Liu, Guilin Liu

  2024-01-04

  DOI:10.4208/aamm.OA-2023-0059

  29744 2534 pp. 305-330

• Error Analyses of the Single Hidden Layer Neural Network Based on the Extreme Learning Machine for Solving Differential Equations

  Baixue Xing, Hongliang Liu, Haodong Li, Zhenxing Fu

  2025-11-22

  DOI:10.4208/aamm.OA-2025-0085

  1609 111 pp. 1453-1502

• Optimizing Thermal Lattice Boltzmann Method on an MT-3000 Processor with Neo-Heterogeneous Strategies

  Qingyang Zhang, Lei Xu, Rongliang Chen, Hang Zou, Bo Yang, Jingzhi Li, Jie Liu

  2025-11-22

  DOI:10.4208/aamm.OA-2025-0046

  1602 108 pp. 1421-1452

• Numerical Simulation of Phase-Field Round and Square Crystal Models on Curved Dynamic Substrates via the Evolving Surface Finite Element Method

  Xufeng Xiao, Lulu Liu, Xiao Yu, Xinlong Feng

  2025-11-19

  DOI:10.4208/aamm.OA-2025-0017

  1661 152 pp. 1389-1420

• Analyzing Bending Problems of Plates on Elastic Foundations via Improved Element-Free Galerkin Method

  Heng Cheng, Dongqiong Liang, Fengbin Liu

  2026-08-01

  DOI:10.4208/aamm.OA-2024-0238

  1056 125 pp. 1120-1141

• The Second-Order Mass-Conservative Characteristic Finite Difference Method for Sobolev Equation with Convection Term

  Kai Fu, Zhaohui Liu, Jiansong Zhang

  2026-06-01

  DOI:10.4208/aamm.OA-2024-0154

  4275 103 pp. 947-960

• A Ciarlet-Raviart Mixed Finite Element Method for Optimal Control Problems Governed by a Fourth Order Bi-Wave Equation

  Hongbo Guan, Wen Liu, Yong Yang

  2026-06-01

  DOI:10.4208/aamm.OA-2023-0229

  4320 114 pp. 1037-1057

• Taylor Remainder-Based Discontinuity Detection Method with Application to Hybrid Compact-WENO Finite Difference Scheme for Hyperbolic Conservation Laws

  Xin-Ru Liu, Xiao Wen

  2026-06-01

  DOI:10.4208/aamm.OA-2024-0124

  4305 127 pp. 923-946

• A CDM-Based Tensile Instability Analysis in DP1180 Steel Sheet

  Bingying Zhou, Xuexi Cui, Bobin Guan, Zhigang Liu, Fei Han, Min Wan, Xiangdong Wu

  2026-04-01

  DOI:10.4208/aamm.OA-2024-0020

  5295 219 pp. 642-665

• Convergence Analysis of a Weak Galerkin Finite Element Method on a Bakhvalov-Type Mesh for a Singularly Perturbed Convection-Diffusion Equation in 2D

  Shicheng Liu, Xiangyun Meng, Qilong Zhai

  2026-02-01

  DOI:10.4208/aamm.OA-2024-0150

  5003 468 pp. 348-368

• Meshfree Methods for the Helmholtz Equation with Variable Wave Speed

  Zhiyong Liu, Qiuyan Xu

  2026-02-01

  DOI:10.4208/aamm.OA-2024-0117

  4948 442 pp. 296-321

• The Generalized Riemann Problem for Two-Layer Shallow Water Equations with Two-Velocities

  Shuzhi Liu, Qinglong Zhang

  2026-02-01

  DOI:10.4208/aamm.OA-2024-0001

  5203 478 pp. 242-266

• Pointwise Goal-Oriented a Posteriori Error Estimates Using Dual Problems with Dirac Delta Source Terms for Linear Elliptic Problems

  Fei Li, Jingang Liu, Nianyu Yi, Liuqiang Zhong

  2026-02-01

  DOI:10.4208/aamm.OA-2023-0186

  5298 457 pp. 222-241

• An Inverse Problem with the Final Overdetermination for the Mean Field Games System

  Michael V. Klibanov, Jingzhi Li, Hongyu Liu

  2026-02-01

  DOI:10.4208/aamm.OA-2024-0123

  5256 504 pp. 189-221

• Adaptive Finite Element Method for Simulating Graphene Surface Plasmon Resonance

  Jingrun Chen, Xuhong Liu, Jiangqiong Mao, Wei Yang

  2026-02-01

  DOI:10.4208/aamm.OA-2024-0069

  5399 521 pp. 11-36

• High-Order Finite Difference Schemes Based on Symmetric Conservative Metric Method: Decomposition, Geometric Meaning and Connection with Finite Volume Schemes

  Xiaogang Deng, Huajun Zhu, Yaobing Min, Huayong Liu, Meiliang Mao, Guangxue Wang

  2020-01-17

  DOI:10.4208/aamm.OA-2017-0243

  49444 3429 pp. 436-479

• A Numerical Investigation of Richtmyer-Meshkov Instability in Spherical Geometry

  Jinxin Wu, Han Liu, Zuoli Xiao

  2019-04-16

  DOI:10.4208/aamm.2018.s03

  49739 3255 pp. 583-597