Search Results

• 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

• An Energy Stable SPH Method for Incompressible Fluid Flow

  Xingyu Zhu, Shuyu Sun, Jisheng Kou

  2022-06-13

  DOI:10.4208/aamm.OA-2021-0231

  44157 3586 pp. 1201-1224

• Investigation of Turbulent Transition in Plane Couette Flows Using Energy Gradient Method

  Hua-Shu Dou, Boo Cheong Khoo

  2018-08-10

  DOI:10.4208/aamm.10-m1017

  42052 4205 pp. 165-180

• Exploring Acoustic and Sound Wave Propagation Simulations: A Novel Time Advancement Method for Homogeneous and Heterogeneous Media

  Shashi Kumar, Bangaru Ramcharan, Vivek S. Yadav, Ankit Singh, Yogesh G. Bhumkar, Manoj K. Rajpoot

  2024-12-02

  DOI:10.4208/aamm.OA-2023-0195

  14649 1266 pp. 315-349

• A Conservative SAV-RRK Finite Element Method for the Nonlinear Schrödinger Equation

  Jun Yang, Nianyu Yi

  2023-02-24

  DOI:10.4208/aamm.OA-2021-0255

  40271 3517 pp. 583-601

• An SAV Method for Imaginary Time Gradient Flow Model in Density Functional Theory

  Ting Wang, Jie Zhou, Guanghui Hu

  2023-02-24

  DOI:10.4208/aamm.OA-2021-0363

  39303 3918 pp. 719-736 Open Access

• Mass-, and Energy-Preserving Sine Pseudo-Spectral Schemes with High-Accuracy for the Coupled Nonlinear Schrödinger Equation

  Yayun Fu, Gengen Zhang, Xu Qian, Songhe Song

  2025-07-19

  DOI:10.4208/aamm.OA-2023-0137

  8089 561 pp. 1430-1455

• An Efficient Second-Order Finite Volume ADI Method for Nonlinear Three-Dimensional Space-Fractional Reaction-Diffusion Equations

  Bingyin Zhang, Hongfei Fu, Xueting Liang, Jun Liu, Jiansong Zhang

  2022-08-08

  DOI:10.4208/aamm.OA-2021-0153

  275934 3794 pp. 1400-1432

• 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

• An Energy Stable Local Discontinuous Galerkin Method for a Binary Compressible Flow

  Hui Sun, Lulu Tian, Hui Guo

  2025-03-14

  DOI:10.4208/aamm.OA-2023-0326

  11540 850 pp. 888-908

• A Conservative Upwind Approximation on Block-Centered Difference for Chemical Oil Recovery Displacement Problem

  Changfeng Li, Yirang Yuan, Aijie Cheng, Huailing Song

  2022-08-08

  DOI:10.4208/aamm.OA-2021-0284

  300627 4023 pp. 1246-1275

• SAV Finite Element Method for the Peng-Robinson Equation of State with Dynamic Boundary Conditions

  Changhui Yao, Zhaoyue Du, Lei Yang

  2022-10-24

  DOI:10.4208/aamm.OA-2021-0216

  44918 4214 pp. 139-158

• A Direct-Forcing Immersed Boundary Projection Method for Thermal Fluid-Solid Interaction Problems

  Cheng-Shu You, Po-Wen Hsieh, Suh-Yuh Yang

  2022-10-24

  DOI:10.4208/aamm.OA-2021-0165

  43993 4345 pp. 1-29

• Multi-Symplectic Wavelet Collocation Method for Maxwell's Equations

  Huajun Zhu, Songhe Song, Yaming Chen

  2021-07-01

  DOI:10.4208/aamm.11-m1183

  41376 4344 pp. 663-688

• Ultraspherical Spectral Method for Block Copolymer Systems on Unit Disk

  Wangbo Luo, Yanxiang Zhao

  2024-12-02

  DOI:10.4208/aamm.OA-2024-0161

  17683 1291 pp. 69-103

• An Energy-Preserving Scheme for the Coupled Gross-Pitaevskii Equations

  Lan Wang, Wenjun Cai, Yushun Wang

  2020-10-20

  DOI:10.4208/aamm.OA-2019-0308

  49921 4648 pp. 203-231

• 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

• 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 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

• An Upwind-Block-Centered Multistep Difference Method for a Semiconductor Device and Numerical Analysis

  Yirang Yuan, Changfeng Li, Huailing Song

  2025-03-14

  DOI:10.4208/aamm.OA-2022-0207

  11559 902 pp. 706-731

• Modelling and Numerical Valuation of Power Derivatives in Energy Markets

  Mai Huong Nguyen, Matthias Ehrhardt

  2012-04-01

  DOI:10.4208/aamm.10-m1133

  41360 5192 pp. 259-293 Open Access

• On a Large Time-Stepping Method for the Swift-Hohenberg Equation

  Zhengru Zhang, Yuanzi Ma

  2021-07-01

  DOI:10.4208/aamm.2014.m48

  44290 4219 pp. 992-1003

• An Energy-Stable Finite Element Method for Incompressible Magnetohydrodynamic-Cahn-Hilliard Coupled Model

  Jianping Zhao, Rui Chen, Haiyan Su

  2021-04-13

  DOI:10.4208/aamm.OA-2020-0044

  47128 3430 pp. 761-790

• New Conservative Finite Volume Element Schemes for the Modified Regularized Long Wave Equation

  Jinliang Yan, Ming-Chih Lai, Zhilin Li, Zhiyue Zhang

  2018-05-05

  DOI:10.4208/aamm.2014.m888

  41809 3071 pp. 250-271

• Error Estimate of a Second Order Accurate Scalar Auxiliary Variable (SAV) Numerical Method for the Epitaxial Thin Film Equation

  Qing Cheng, Cheng Wang

  2021-11-17

  DOI:10.4208/aamm.OA-2020-0297

  119097 6101 pp. 1318-1354

• A Second-Order Energy Stable BDF Numerical Scheme for the Viscous Cahn-Hilliard Equation with Logarithmic Flory-Huggins Potential

  Danxia Wang, Xingxing Wang, Hongen Jia

  2021-04-13

  DOI:10.4208/aamm.OA-2020-0123

  44807 3286 pp. 867-891

• A Discontinuous Galerkin Method by Patch Reconstruction for Convection-Diffusion Problems

  Zhiyuan Sun, Jun Liu, Pei Wang

  2020-04-10

  DOI:10.4208/aamm.OA-2019-0193

  45729 3361 pp. 729-747