Search Results

• A New Robust High-Order Weighted Essentially Non-Oscillatory Scheme for Solving Well-Balanced Shallow Water Equations

  Zhenming Wang, Jun Zhu, Ning Zhao

  2019-06-24

  DOI:10.4208/aamm.OA-2018-0184

  44751 3168 pp. 911-941

• Improved Symmetry Property of High Order Weighted Essentially Non-Oscillatory Finite Difference Schemes for Hyperbolic Conservation Laws

  Wai Sun Don, Peng Li, Kwun Ying Wong, Zhen Gao

  2021-07-01

  DOI:10.4208/aamm.OA-2017-0292

  56581 4623 pp. 1418-1439

• An Efficient High Order Well-Balanced Finite Difference WENO Scheme for the Blood Flow Model

  Shouguo Qian, Gang Li, Xianqing Lv, Fengjing Shao

  2018-09-17

  DOI:10.4208/aamm.OA-2016-0151

  53184 5389 pp. 22-40

• A New High-Order Conservative Patched Grid Strategy Based on Collapsed Edge

  Yidao Dong, Xiaogang Deng, Yaming Chen, Xu Dan, Guangxue Wang

  2018-09-17

  DOI:10.4208/aamm.OA-2017-0163

  44572 3073 pp. 611-633

• Semi-Discrete Predictor-Multicorrector FEM Algorithms for the 2D/3D Unsteady Incompressible Micropolar Fluid Equations

  Xiaowei Bi, Demin Liu

  2024-11-01

  DOI:10.4208/aamm.OA-2022-0256

  15449 1424 pp. 1519-1548

• An Explicit Superconvergent Weak Galerkin Finite Element Method for the Heat Equation

  Fuzheng Gao, Shangyou Zhang

  2024-12-31

  DOI:10.4208/aamm.OA-2023-0290

  13222 1219 pp. 538-553

• Unified Solution of Conjugate Fluid and Solid Heat Transfer – Part II. High-Order Conjugate Heat Transfer

  Shu-Jie Li, Lili Ju

  2025-03-14

  DOI:10.4208/aamm.OA-2024-0023

  11463 818 pp. 758-777

• Numerical Analysis of the Mixed 4th-Order Runge-Kutta Scheme of Conditional Nonlinear Optimal Perturbation Approach for the EI Niño-Southern Oscillation Model

  Xin Zhao, Jian Li, Wansuo Duan, Dongqian Xue

  2021-07-01

  DOI:10.4208/aamm.2014.m786

  44053 3868 pp. 1023-1035

• Osher Flux with Entropy Fix for Two-Dimensional Euler Equations

  Huajun Zhu, Xiaogang Deng, Meiliang Mao, Huayong Liu, Guohua Tu

  2018-05-05

  DOI:10.4208/aamm.2014.m469

  41534 2934 pp. 670-692

• High Order Deep Domain Decomposition Method for Solving High Frequency Interface Problems

  Zhipeng Chang, Ke Li, Xiufen Zou, Xueshuang Xiang

  2023-10-11

  DOI:10.4208/aamm.OA-2022-0006

  30775 2819 pp. 1602-1630

• Numerical Simulation for the Variable-Order Fractional Schrödinger Equation with the Quantum Riesz-Feller Derivative

  N. H. Sweilam, M. M. Abou Hasan

  2018-05-05

  DOI:10.4208/aamm.2015.m1312

  42503 2986 pp. 990-1011

• Symplectic Euler Method for Nonlinear High Order Schrödinger Equation with a Trapped Term

  Fangfang Fu, Linghua Kong, Lan Wang

  2018-08-10

  DOI:10.4208/aamm.09-m0929

  41316 4213 pp. 699-710

• Assessing the Performance of a Three Dimensional Hybrid Central-WENO Finite Difference Scheme with Computation of a Sonic Injector in Supersonic Cross Flow

  Wai-Sun Don, Antonio de Gregorio, Jean-Piero Suarez, Gustaaf B. Jacobs

  2021-07-01

  DOI:10.4208/aamm.12-12S03

  43489 4425 pp. 719-736

• WENO Interpolation-Based and Upwind-Biased Free-Stream Preserving Nonlinear Schemes

  Qin Li, Sun Dong, Fengyuan Xu

  2021-11-17

  DOI:10.4208/aamm.OA-2020-0170

  49721 4141 pp. 1441-1484

• 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

• A New Higher Order Shear Deformation Model for Static Behavior of Functionally Graded Plates

  Tahar Hassaine Daouadji, Abdelouahed Tounsi, El Abbes Adda Bedia

  2013-05-01

  DOI:10.4208/aamm.11-m11176

  42967 4930 pp. 351-364

• A Parameter-Free Generalized Moment Limiter for High-Order Methods on Unstructured Grids

  Michael Yang, Z.J. Wang

  2018-08-10

  DOI:10.4208/aamm.09-m0913

  41080 4226 pp. 451-480

• A Parameter-Free Generalized Moment Limiter for High-Order Methods on Unstructured Grids

  Michael Yang, Z.J. Wang

  2018-08-10

  DOI:10.4208/aamm.09-m0913

  40999 4179 pp. 451-480

• 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

• A High-Order Localized Artificial Diffusivity Scheme for Discontinuity Capturing on 1D Drift-Flux Models for Gas-Liquid Flows

  Adyllyson H. Nascimento, Eugênio S. Rosa

  2023-12-21

  DOI:10.4208/aamm.OA-2022-0022

  26821 2453 pp. 47-74

• A Hessian Recovery Based Linear Finite Element Method for Molecular Beam Epitaxy Growth Model with Slope Selection

  Minqiang Xu, Qingsong Zou

  2023-12-21

  DOI:10.4208/aamm.OA-2021-0193

  26921 2757 pp. 1-23

• High-Efficiency Explicit Multistep Schemes for Coupled Second-Order FBSDEs

  Bo Li, Weidong Zhao

  2026-02-01

  DOI:10.4208/aamm.OA-2024-0273

  4868 457 pp. 322-347

• High Order Hybrid Weighted Compact Nonlinear Schemes for Hyperbolic Conservation Laws

  Peng Li, Xiqiang Zhao, Zhen Gao, Bao-Shan Wang

  2020-06-01

  DOI:10.4208/aamm.OA-2018-0264

  50407 3447 pp. 972-991

• Stability Analysis and Order Improvement for Time Domain Differential Quadrature Method

  Fangzong Wang, Xiaobing Liao, Xiong Xie

  2018-05-05

  DOI:10.4208/aamm.2014.m794

  43827 4623 pp. 128-144

• The LMAPS Using Polynomial Basis Functions for Near-Singular Problems

  Zhengzhi Li, Daniel Watson, Ming Li, Thir Dangal

  2018-09-17

  DOI:10.4208/aamm.OA-2017-0288

  45406 3242 pp. 1090-1102

• Multiderivative Combined Dissipative Compact Scheme Satisfying Geometric Conservation Law II: Applications on Complex Curvilinear Meshes

  Yi Jiang, Meiliang Mao, Xiaogang Deng, Huayong Liu

  2019-01-11

  DOI:10.4208/aamm.OA-2018-0079

  44367 3173 pp. 285-311

• Multiderivative Combined Dissipative Compact Scheme Satisfying Geometric Conservation Law I: Basic Formulations and Performance Evaluation

  Yi Jiang, Meiliang Mao, Xiaogang Deng, Huayong Liu

  2019-01-11

  DOI:10.4208/aamm.OA-2018-0078

  44328 3177 pp. 255-284