Search Results

• A Fifth-Order Low-Dissipative Conservative Upwind Compact Scheme Using Centered Stencil

  Conghai Wu, Sujuan Yang, Ning Zhao

  2021-07-01

  DOI:10.4208/aamm.2013.m-s3

  43085 4410 pp. 830-848

• A Modified Hybrid High-Order Essentially Non-Oscillatory Compact Difference Scheme for Nonlinear Degenerate Parabolic Equations

  Xiaohua Zhang, Shengfeng Wang

  2026-04-01

  DOI:10.4208/aamm.OA-2023-0261

  5091 270 pp. 482-518

• 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 Hybrid Reconstruction Method Based upon the Characteristic Fields Decomposition of Compressible Euler Equations

  Ke Zhang, Yiqing Shen

  2025-09-29

  DOI:10.4208/aamm.OA-2024-0024

  7318 398 pp. 1761-1788

• Decoupled and Unconditionally Energy Stable Numerical Schemes for the Thermally Coupled Incompressible Magnetohydrodynamics Flow

  Chao Lu, Qinghua Li, Tong Zhang

  2026-04-01

  DOI:10.4208/aamm.OA-2023-0135

  5255 260 pp. 601-641

• The Crank-Nicolson/Explicit Scheme for the Natural Convection Equations with Nonsmooth Initial Data

  Jinting Yang, Hongxia Liang, Tong Zhang

  2021-07-01

  DOI:10.4208/aamm.OA-2019-0206

  47799 4166 pp. 1481-1519

• Local Discontinuous Galerkin Method for the Backward Feynman-Kac Equation

  Dong Liu, Weihua Deng

  2025-05-12

  DOI:10.4208/aamm.OA-2023-0015

  8722 593 pp. 1204-1238

• A Linear Doubly Stabilized Crank-Nicolson Scheme for the Allen–Cahn Equation with a General Mobility

  Dianming Hou, Lili Ju, Zhonghua Qiao

  2024-07-22

  DOI:10.4208/aamm.OA-2023-0067

  33750 2547 pp. 1009-1038

• 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

• Decoupled Scheme for Non-Stationary Viscoelastic Fluid Flow

  Md. Abdullah Al Mahbub, Shahid Hussain, Nasrin Jahan Nasu, Haibiao Zheng

  2018-09-17

  DOI:10.4208/aamm.OA-2017-0186

  45019 3173 pp. 1191-1226

• A Fifth Order Alternative Mapped WENO Scheme for Nonlinear Hyperbolic Conservation Laws

  Uttam Singh Rajput, Krishna Mohan Singh

  2021-11-18

  DOI:10.4208/aamm.OA-2020-0320

  50154 4623 pp. 275-298

• An Efficient Numerical Solution Method for Elliptic Problems in Divergence Form

  Ali Abbas

  2014-06-01

  DOI:10.4208/aamm.2012.m69

  42035 4366 pp. 327-344

• Numerical Simulation of Non-Linear Schrödinger Equations in Arbitrary Domain by the Localized Method of Approximate Particular Solution

  Yongxing Hong, Jun Lu, Ji Lin, Wen Chen

  2019-01-04

  DOI:10.4208/aamm.OA-2018-0026

  46371 5143 pp. 108-131

• A Numerical Method on Eulerian Grids for Two-Phase Compressible Flow

  Yonghui Guo, Ruo Li, Chengbao Yao

  2018-05-05

  DOI:10.4208/aamm.2014.m706

  42705 4713 pp. 187-212 Open Access

• 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 Cell-Centered Lagrangian Scheme with an Elastic-Perfectly Plastic Solid Riemann Solver for Wave Propagations in Solids

  Qian Chen, Li Li, Jin Qi, Zhiqiang Zeng, Baolin Tian, Tiegang Liu

  2022-02-25

  DOI:10.4208/aamm.OA-2020-0344

  47188 3402 pp. 703-724

• 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

• 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 Well-Balanced Finite Volume CWENO Scheme for Shallow Water Equations over Bottom Topography

  Wei Guo, Ziming Chen, Shouguo Qian, Gang Li, Qiang Niu

  2023-10-11

  DOI:10.4208/aamm.OA-2022-0131

  32387 2898 pp. 1515-1539

• A Time Second-Order Mass-Conserved Implicit-Explicit Domain Decomposition Scheme for Solving the Diffusion Equations

  Zhongguo Zhou, Dong Liang

  2018-05-05

  DOI:10.4208/aamm.2015.m1049

  42363 3101 pp. 795-817

• A Switch Function-Based Gas-Kinetic Scheme for Simulation of Inviscid and Viscous Compressible Flows

  Yu Sun, Shu Chang, Liming Yang, C. J. Teo

  2018-05-05

  DOI:10.4208/aamm.2015.m1071

  43311 3084 pp. 703-721

• Error Analysis of a Pressure Penalty Scheme for the Reformulated Ericksen-Leslie System with Variable Density

  Xin Zhang, Danxia Wang, Jianwen Zhang, Hongen Jia

  2024-05-14

  DOI:10.4208/aamm.OA-2023-0121

  25399 2494 pp. 952-979

• Convergence Analysis of a BDF Finite Element Method for the Resistive Magnetohydrodynamic Equations

  Lina Ma, Cheng Wang, Zeyu Xia

  2024-12-31

  DOI:10.4208/aamm.OA-2023-0118

  13391 1255 pp. 633-662

• A Second Order Accurate in Time, Energy Stable Finite Element Scheme for the Flory-Huggins-Cahn-Hilliard Equation

  Maoqin Yuan, Wenbin Chen, Cheng Wang, Steven M. Wise, Zhengru Zhang

  2022-08-08

  DOI:10.4208/aamm.OA-2021-0331

  270396 3806 pp. 1477-1508

• Alternating Cell Direction Implicit Method Using Approximate Factorization on Hybrid Grids

  Ali Ruhşen Çete, Oğuz Kaan Onay

  2022-02-25

  DOI:10.4208/aamm.OA-2020-0028

  48217 3291 pp. 539-576

• 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

• Towards an Accurate and Robust Roe-Type Scheme for All Mach Number Flows

  Wenjia Xie, Ye Zhang, Qing Chang, Hua Li

  2019-01-04

  DOI:10.4208/aamm.OA-2018-0141

  46688 5615 pp. 132-167