Search Results

• Inverse Scattering Transform and Soliton Solutions for the Hirota Equation with $N$ Distinct Arbitrary Order Poles

  Xiaofan Zhang, Shoufu Tian, Jinjie Yang

  2022-04-11

  DOI:10.4208/aamm.OA-2020-0369

  45355 3681 pp. 893-913

• Upwind Strategy for Localized Method of Approximate Particular Solutions with Applications to Convection Dominated Diffusion Problems

  Xueying Zhang, Luyu Ran

  2020-12-18

  DOI:10.4208/aamm.OA-2019-0103

  43713 3305 pp. 455-466

• A Two-Grid Finite-Volume Method for the Schrödinger Equation

  Hongmei Zhang, Jianghua Yin, Jicheng Jin

  2020-10-20

  DOI:10.4208/aamm.OA-2019-0212

  50198 4524 pp. 176-190

• A Multi-Dimensional Shock-Capturing Limiter for High-Order Least Square-Based Finite Difference-Finite Volume Method on Unstructured Grids

  Yangyang Liu, Liming Yang, Chang Shu, Huangwei Zhang

  2020-12-21

  DOI:10.4208/aamm.OA-2020-0255

  47078 3352 pp. 671-700

• A Radial Basis Function Meshless Numerical Method for Solving Interface Problems in Irregular Domains

  Xin Lu, Ping Zhang, Liwei Shi, Songming Hou, Ying Kuang

  2020-12-21

  DOI:10.4208/aamm.OA-2020-0004

  47486 3355 pp. 645-670

• Direct Numerical Simulations of Self-Sustained Oscillations in Two-Dimensional Open Cavity for Subsonic and Supersonic Flow

  Yong Luo, Hu Li, Shuaibin Han, Shuhai Zhang

  2021-04-13

  DOI:10.4208/aamm.OA-2020-0232

  44806 3199 pp. 942-965

• Numerical Schemes for Time-Space Fractional Vibration Equations

  Jingna Zhang, Temirkhan S. Aleroev, Yifa Tang, Jianfei Huang

  2021-04-13

  DOI:10.4208/aamm.OA-2020-0066

  45774 3234 pp. 806-826

• Error Analysis of Two-Level Finite Element Method for the Nonlinear Conductivity Problem in Maxwell's System

  Peizhen Wang, Dandan Zhang, Wei Yang

  2021-04-13

  DOI:10.4208/aamm.OA-2020-0049

  45098 3324 pp. 791-805

• A Combination of High-Order Compact Finite Difference Schemes and a Splitting Method that Preserves Accuracy for the Multi-Dimensional Burgers' Equation

  Shengfeng Wang, Xiaohua Zhang, Julian Koellermeier, Daobin Ji

  2021-06-08

  DOI:10.4208/aamm.OA-2020-0277

  45318 3140 pp. 1261-1292

• The Plane Wave Methods for the Time-Harmonic Elastic Wave Problems with the Complex Valued Coefficients

  Long Yuan, Shuai Xi, Binlin Zhang

  2021-06-08

  DOI:10.4208/aamm.OA-2020-0350

  44257 3217 pp. 1169-1202

• Two-Grid Finite-Element Method for the Two-Dimensional Time-Dependent Schrödinger Equation

  Hongmei Zhang, Jicheng Jin, Jianyun Wang

  2013-05-01

  DOI:10.4208/aamm.12-m1206

  41893 4438 pp. 180-193

• Analyses of the Dispersion Overshoot and Inverse Dissipation of the High-Order Finite Difference Scheme

  Qin Li, Qilong Guo, Hanxin Zhang

  2021-07-01

  DOI:10.4208/aamm.2012.m5

  45141 4533 pp. 809-824

• Two-Level Stabilized Finite Volume Methods for the Stationary Navier-Stokes Equations

  Tong Zhang, Shunwei Xu

  2018-08-10

  DOI:10.4208/aamm.11-m11178

  43764 4914 pp. 19-35

• A New Composite Quadrature Rule

  Weiwei Sun, Qian Zhang

  2021-01-13

  DOI:10.4208/aamm.13-13S10

  42854 4255 pp. 595-606

• A Method of Lines Based on Immersed Finite Elements for Parabolic Moving Interface Problems

  Tao Lin, Yanping Lin, Xu Zhang

  2021-01-13

  DOI:10.4208/aamm.13-13S11

  42716 4228 pp. 548-568

• The Exponential Transformation Based Lattice Boltzmann Model for Convection-Diffusion Equation

  Ting Zhang, Shuqi Cui, Ning Hong, Baochang Shi

  2024-12-02

  DOI:10.4208/aamm.OA-2023-0031

  14551 1227 pp. 224-239

• Second-Order Schemes for Fokker-Planck Equations with Discontinuous Drift

  Boya Zhang, Yaming Chen, Songhe Song

  2018-09-17

  DOI:10.4208/aamm.OA-2017-0098

  45130 3176 pp. 343-361

• Simulation of Seismic Wave Scattering by Embedded Cavities in an Elastic Half-Plane Using the Novel Singular Boundary Method

  Ji Lin, Chuanzeng Zhang, Linlin Sun, Jun Lu

  2018-09-17

  DOI:10.4208/aamm.OA-2016-0187

  56592 3513 pp. 322-342

• Numerical Study of Natural Convection of Magnetic Fluids in a Cubic Cavity with a Heat Generating Object Inside by the Lattice Boltzmann Method

  Xiao-Dong Niu, Hiroshi Yamaguchi, Xin-Rong Zhang, Keisuke Yoshikawa

  2010-02-01

  DOI:10.4208/aamm.09-m0941

  43222 4737 pp. 76-85

• 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 Two-Level Crank-Nicolson Difference Scheme and Its Richardson Extrapolation Methods for a Magneto-Thermo-Elasticity Model

  Dingwen Deng, Ruyu Zhang

  2024-02-29

  DOI:10.4208/aamm.OA-2022-0202

  27663 2890 pp. 608-635

• Multi-Modes Multiscale Approach of Heat Transfer Problems in Heterogeneous Solids with Uncertain Thermal Conductivity

  Shan Zhang, Zihao Yang, Xiaofei Guan

  2022-10-24

  DOI:10.4208/aamm.OA-2022-0048

  44118 4002 pp. 69-93

• New Finite Volume Mapped Unequal-Sized WENO Scheme for Hyperbolic Conservation Laws

  Yan Zhang, Jun Zhu

  2024-01-04

  DOI:10.4208/aamm.OA-2022-0184

  27093 2497 pp. 459-492

• Implicit Runge-Kutta-Nyström Methods with Lagrange Interpolation for Nonlinear Second-Order IVPs with Time-Variable Delay

  Chengjian Zhang, Siyi Wang, Changyang Tang

  2024-01-04

  DOI:10.4208/aamm.OA-2022-0290

  27730 2477 pp. 423-436

• Free Vibration of Stiffened Plate with Cracked Stiffeners

  Jian Xue, Lihua Chen, Yue Sun, Wei Zhang

  2023-12-21

  DOI:10.4208/aamm.OA-2021-0186

  26703 2549 pp. 253-278

• Reconstructing the Absorption Function in a Quasi-Linear Sorption Dynamic Model via an Iterative Regularizing Algorithm

  Alexey Shcheglov, Jingzhi Li, Chao Wang, Alexander Ilin, Ye Zhang

  2023-12-21

  DOI:10.4208/aamm.OA-2023-0020

  30879 2902 pp. 237-252

• Local Discontinuous Galerkin Methods with Decoupled Implicit-Explicit Time Marching for the Growth-Mediated Autochemotactic Pattern Formation Model

  Hui Wang, Hui Guo, Jiansong Zhang, Lulu Tian

  2023-12-21

  DOI:10.4208/aamm.OA-2022-0217

  26815 2435 pp. 208-236