Search Results

• A Novel Construction of Distribution Function Through Second-Order Polynomial Approximation in Terms of Particle Mass, Momentum and Energy

  Z. Y. Yuan, Z. Chen, C. Shu, Y. Y. Liu, Z. L. Zhang

  2024-02-29

  DOI:10.4208/aamm.OA-2023-0107

  27674 2681 pp. 738-770

• A Compact Difference Scheme for Time-Space Fractional Nonlinear Diffusion-Wave Equations with Initial Singularity

  Emadidin Gahalla Mohmed Elmahdi, Sadia Arshad, Jianfei Huang

  2023-12-21

  DOI:10.4208/aamm.OA-2022-0049

  26042 2568 pp. 146-163

• A First-Order Linear Energy Stable Scheme for the Cahn–Hilliard Equation with Dynamic Boundary Conditions Under the Effect of Hyperbolic Relaxation

  Minghui Yu, Rui Chen

  2026-02-06

  DOI:10.4208/aamm.OA-2025-0180

  1063 106 pp. 1616-1648

• High-Order Unconditionally Energy-Stable Decoupled Method for Phase Field Modeling of Pitting Corrosion with Adaptive Implementation

  Futuan Li, Hongwei Li, Tao Tang, Jiang Yang

  2026-01-30

  DOI:10.4208/aamm.OA-2025-0232

  1142 235 pp. 1355-1388

• Two $P_4$ Nonconforming Finite Elements for the Biharmonic Equation on Rectangular Meshes

  Youai Li, Shangyou Zhang

  2026-08-01

  DOI:10.4208/aamm.OA-2025-0165

  796 95 pp. 1142-1154

• Multi-Resolution WENO Method with Adaptive Linear Weights Using Subcell Strategy

  Jianming Wu, Cong Huang, Lili Chen

  2026-08-01

  DOI:10.4208/aamm.OA-2024-0258

  899 109 pp. 1328-1354

• A Fully Discrete Method for Space-Time Fractional Parabolic Problems

  Zunlin Tan, Xiaoping Xie

  2026-08-01

  DOI:10.4208/aamm.OA-2024-0056

  1041 96 pp. 1210-1241

• 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

• On Stable Difference Schemes for the Solution of Soliton Type Coupled Sine-Gordon Equations in the Weak Sense

  Ozgur Yildirim

  2026-06-01

  DOI:10.4208/aamm.OA-2023-0049

  4292 79 pp. 988-1008

• Improved Sixth-Order WENO Finite Difference Schemes for Hyperbolic Conservation Laws

  Cai-Feng Wang, Wai-Sun Don, Jia-Le Li, Bao-Shan Wang

  2025-09-29

  DOI:10.4208/aamm.OA-2024-0037

  7393 499 pp. 1591-1624

• Energy Conservative Local Discontinuous Galerkin Methods for the Euler-Korteweg Equations

  Xiangyi Meng, Yan Xu, J. J. W. Van der Vegt

  2026-02-01

  DOI:10.4208/aamm.OA-2023-0317

  5411 474 pp. 134-169

• High-Order Three-Scale Computational Method for Thermoelastic Behavior Analysis of Axisymmetric Composite Structures with Multiple Spatial Scales

  Hao Dong, Junzhi Cui, Yufeng Nie, Zihao Yang, Zhiqiang Yang

  2020-01-17

  DOI:10.4208/aamm.OA-2019-0071

  47056 3224 pp. 599-642

• A Posteriori Error Analysis of Any Order Finite Volume Methods for Elliptic Problems

  Yuanyuan Zhang, Min Yang

  2020-01-17

  DOI:10.4208/aamm.OA-2019-0012

  45356 3306 pp. 564-578

• 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

• A High-Order Discontinuous Galerkin Method for the Two-Dimensional Time-Domain Maxwell's Equations on Curved Mesh

  Hongqiang Lu, Yida Xu, Yukun Gao, Wanglong Qin, Qiang Sun

  2018-05-05

  DOI:10.4208/aamm.2014.m642

  44541 4769 pp. 104-116

• An Upwind Mixed Volume Element-Fractional Step Method on a Changing Mesh for Compressible Contamination Treatment from Nuclear Waste

  Changfeng Li, Yirang Yuan, Huailing Song

  2021-07-01

  DOI:10.4208/aamm.OA-2017-0332

  46623 3937 pp. 1384-1417

• A Maximum-Principle-Preserving Third Order Finite Volume SWENO Scheme on Unstructured Triangular Meshes

  Yunrui Guo, Lingyan Tang, Hong Zhang, Songhe Song

  2018-09-17

  DOI:10.4208/aamm.OA-2016-0196

  47335 6298 pp. 114-137

• Stabilized Finite Element Methods for Biot's Consolidation Problems Using Equal Order Elements

  Gang Chen, Minfu Feng

  2018-09-17

  DOI:10.4208/aamm.2016.m1182

  46012 5509 pp. 77-99

• A Direct Discontinuous Galerkin Method with Interface Correction for the Compressible Navier-Stokes Equations on Unstructured Grids

  Jian Cheng, Huiqiang Yue, Shengjiao Yu, Tiegang Liu

  2018-09-17

  DOI:10.4208/aamm.OA-2017-0060

  47613 5427 pp. 1-21

• Convergence Analysis of Legendre-Collocation Spectral Methods for Second Order Volterra Integro-Differential Equation with Delay

  Weishan Zheng, Yanping Chen, Yunqing Huang

  2019-01-11

  DOI:10.4208/aamm.OA-2018-0121

  44106 3165 pp. 486-500

• A Weak Galerkin Method with $C^0$ Element for Fourth Order Linear Parabolic Equation

  Shimin Chai, Yongkui Zou, Wenju Zhao

  2019-01-11

  DOI:10.4208/aamm.OA-2018-0028

  44672 3117 pp. 467-485

• A Characteristics-Mixed Volume Element Method for the Displacement Problem of Enhanced Oil Recovery

  Yirang Yuan, Aijie Cheng, Changfeng Li, Tongjun Sun, Qing Yang

  2019-06-24

  DOI:10.4208/aamm.OA-2018-0205

  45637 3298 pp. 1084-1113

• A Well-Conditioned Spectral Integration Method for High-Order Differential Equations with Variable Coefficients

  Yurun Wang, Huiling Su, Fei Liu

  2024-11-01

  DOI:10.4208/aamm.OA-2023-0225

  15533 1471 pp. 1549-1568

• A Second-Order Alikhanov Type Implicit Scheme for the Time-Space Fractional Ginzburg-Landau Equation

  Yufang Gao, Shengxiang Chang, Changna Lu

  2024-11-01

  DOI:10.4208/aamm.OA-2022-0097

  15440 1451 pp. 1451-1473

• Finite Element Scheme with H2N2 Interpolation for Multi-Term Time-Fractional Mixed Sub-Diffusion and Diffusion-Wave Equation

  Huiqin Zhang, Yanping Chen, Jianwei Zhou, Yang Wang

  2024-07-22

  DOI:10.4208/aamm.OA-2023-0117

  26568 2475 pp. 1197-1222

• Lattice Boltzmann Model for a Class of Viscous Wave Equation

  Qianhuan Li, Zhenhua Chai, Baochang Shi

  2024-12-31

  DOI:10.4208/aamm.OA-2022-0226

  13320 1294 pp. 440-453