Search Results

• Arbitrarily High-Order Energy-Preserving Schemes for the Camassa-Holm Equation Based on the Quadratic Auxiliary Variable Approach

  Yuezheng Gong, Qi Hong, Chunwu Wang, Yushun Wang

  2023-06-21

  DOI:10.4208/aamm.OA-2022-0188

  38282 3211 pp. 1233-1255

• 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

• 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

• 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

• Spatial-Temporal Adaptive-Order Positivity-Preserving WENO Finite Difference Scheme with Relaxed CFL Condition for Euler Equations with Extreme Conditions

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

  2025-03-14

  DOI:10.4208/aamm.OA-2023-0306

  11682 907 pp. 804-839

• Numerical Solution of the Coupled System of Nonlinear Fractional Ordinary Differential Equations

  Xiaojun Zhou, Chuanju Xu

  2018-08-04

  DOI:10.4208/aamm.2015.m1054

  42367 3151 pp. 574-595

• Structure-Preserving Exponential Schemes with High Accuracy for the 2D/3D Nonlinear Schrödinger Type Equation

  Yayun Fu, Hongliang Liu

  2025-05-12

  DOI:10.4208/aamm.OA-2023-0095

  8767 621 pp. 1088-1110

• First-Order, Unconditionally Stable, Fully Decoupled Methods for the Penalty Ericksen-Leslie System with Variable Density

  Zhaowei Wang, Danxia Wang, Hongen Jia, Chenhui Zhang

  2026-04-01

  DOI:10.4208/amm.OA-2024-0065

  5051 200 pp. 666-699

• Finite Element $θ$-Schemes for the Acoustic Wave Equation

  Samir Karaa

  2018-08-10

  DOI:10.4208/aamm.10-m1018

  42058 4265 pp. 181-203

• 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

• Vortex Capturing Using PNS-WENO Schemes in Uniform and Non Uniform Mesh Formulations

  Demian De Feo, Ning Qin, Trevor J. Birch

  2019-02-13

  DOI:10.4208/aamm.09-m0917

  41583 4543 pp. 399-429

• An Efficient Proximity Point Algorithm for Total-Variation-Based Image Restoration

  Wei Zhu, Shi Shu, Lizhi Cheng

  2014-06-01

  DOI:10.4208/aamm.2013.m175

  45025 4582 pp. 145-164

• Fourth-Order Structure-Preserving Method for the Conservative Allen-Cahn Equation

  Xiaowei Chen, Xu Qian, Songhe Song

  2022-10-24

  DOI:10.4208/aamm.OA-2021-0325

  45819 4255 pp. 159-181

• 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

• An Entropy Stable Scheme for the Multiclass Lighthill-Whitham-Richards Traffic Model

  Raimund Bürger, Héctor Torres, Carlos A. Vega

  2019-06-24

  DOI:10.4208/aamm.OA-2018-0189

  44985 3228 pp. 1022-1047

• 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

• 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

• 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

• 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

• 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

• Numerical Analysis of Stabilized Second Order Semi-Implicit Finite Element Methods for the Phase-Field Equations

  Congying Li, Liang Tang, Jie Zhou

  2024-02-29

  DOI:10.4208/aamm.OA-2023-0046

  27802 2821 pp. 667-691

• 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

• 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

• High-Order Local Absorbing Boundary Conditions for Fractional Evolution Equations on Unbounded Strips

  Haixia Dong, Miao Wang, Dongsheng Yin, Qian Zhang

  2020-04-10

  DOI:10.4208/aamm.OA-2019-0115

  46753 3354 pp. 664-693

• A Weak Galerkin Mixed Finite Element Method for Acoustic Wave Equation

  Xi Zhang, Minfu Feng

  2022-04-11

  DOI:10.4208/aamm.OA-2020-0346

  45574 3681 pp. 936-959

• Exponential Time Differencing Schemes for the Peng-Robinson Equation of State with Preservation of Maximum Bound Principle

  Qiumei Huang, Kun Jiang, Jingwei Li

  2022-01-24

  DOI:10.4208/aamm.OA-2021-0008

  42786 3526 pp. 494-527