Search Results

• A Note on the Generating Function Method

  Yonghui Bo, Wenjun Cai, Yushun Wang

  2021-04-13

  DOI:10.4208/aamm.OA-2020-0286

  43454 3086 pp. 982-1004

• A Spectral Method for Second Order Volterra Integro-Differential Equation with Pantograph Delay

  Weishan Zheng, Yanping Chen

  2013-05-01

  DOI:10.4208/aamm.12-m1209

  41859 4308 pp. 131-145

• Fully HOC Scheme for Mixed Convection Flow in a Lid-Driven Cavity Filled with a Nanofluid

  Dingfang Li, Xiaofeng Wang, Hui Feng

  2018-08-10

  DOI:10.4208/aamm.10-m1072

  44207 4988 pp. 55-77

• A Matrix-Vector Operation-Based Numerical Solution Method for Linear $m$-th Order Ordinary Differential Equations: Application to Engineering Problems

  M. Aminbaghai, M. Dorn, J. Eberhardsteiner, B. Pichler

  2013-05-01

  DOI:10.4208/aamm.12-m1211

  42068 4814 pp. 269-308

• Cell Conservative Flux Recovery and a Posteriori Error Estimate of Vertex-Centered Finite Volume Methods

  Long Chen, Ming Wang

  2013-05-01

  DOI:10.4208/aamm.12-m1279

  43053 4233 pp. 705-727

• 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

• 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

• An Extension of the Order-Preserving Mapping to the WENO-Z-Type Schemes

  Ruo Li, Wei Zhong

  2022-10-24

  DOI:10.4208/aamm.OA-2022-0032

  44085 4056 pp. 202-243

• 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

• The Discontinuous Galerkin Method by Patch Reconstruction for Helmholtz Problems

  Di Li, Min Liu, Xiliang Lu, Jerry Zhijian Yang

  2022-10-24

  DOI:10.4208/aamm.OA-2022-0008

  45215 4042 pp. 30-48

• 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

• Strong Converge Order of the General One-Step Method for Neutral Stochastic Delay Differential Equations under a Global Monotone Condition

  Chao Yue, Haoyong Zhuang, Longbin Zhao

  2025-09-29

  DOI:10.4208/aamm.OA-2024-0017

  7282 382 pp. 1654-1681

• An Absolutely Stabilized Virtual Element Method for the Incompressible Stokes Equations

  Xi Zhang, Minfu Feng

  2025-09-29

  DOI:10.4208/aamm.OA-2023-0281

  7259 415 pp. 1625-1653

• 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

• The Fast Implementation of the ADI-CN Method for a Class of Two-Dimensional Riesz Space-Fractional Diffusion Equations

  Zhiyong Xing, Liping Wen

  2019-06-24

  DOI:10.4208/aamm.OA-2018-0162

  44604 3234 pp. 942-956

• The Convergence and Superconvergence of a MFEM for Elliptic Optimal Control Problems

  Hongbo Guan, Yong Yang, Huiqing Zhu

  2020-01-17

  DOI:10.4208/aamm.OA-2019-0019

  46490 3154 pp. 527-544

• Spectral Collocation Methods for Second-Order Volterra Integro-Differential Equations with Weakly Singular Kernels

  Xiulian Shi, Yanping Chen, Yunqing Huang, Fenglin Huang

  2020-01-17

  DOI:10.4208/aamm.OA-2019-0056

  48743 3652 pp. 480-502

• A New Higher Order Fractional-Step Method for the Incompressible Navier-Stokes Equations

  Rong An, Can Zhou, Jian Su

  2020-01-17

  DOI:10.4208/aamm.OA-2018-0258

  47429 3305 pp. 362-385

• Size-Dependent Geometrically Nonlinear Free Vibration of First-Order Shear Deformable Piezoelectric-Piezomagnetic Nanobeams Using the Nonlocal Theory

  Raheb Gholami, Reza Ansari

  2018-09-17

  DOI:10.4208/aamm.2015.m1298

  45236 5051 pp. 184-208

• Fourth-Order Compact Split-Step Finite Difference Method for Solving the Two- and Three-Dimensional Nonlinear Schrödinger Equations

  Rena Eskar, Xinlong Feng, Pengzhan Huang

  2018-09-17

  DOI:10.4208/aamm.OA-2017-0162

  47615 3537 pp. 879-895

• Mixed Finite Element Methods for Elastodynamics Problems in the Symmetric Formulation

  Yan Yang, Shiquan Zhang

  2018-09-17

  DOI:10.4208/aamm.OA-2017-0280

  44031 3157 pp. 1279-1304

• An Adaptive Time and Space Discretization Approach for Simulating Unsteady Navier-Stokes Flows

  Biao Peng, Chunhua Zhou, Junqiang Ai

  2019-01-11

  DOI:10.4208/aamm.OA-2018-0004

  44415 3193 pp. 406-427

• Runge-Kutta Finite Element Method Based on the Characteristic for the Incompressible Navier-Stokes Equations

  Shaokai Liao, Yan Zhang, Da Chen

  2021-07-01

  DOI:10.4208/aamm.OA-2018-0150

  50619 4218 pp. 1415-1435

• Two-Level Hierarchical PCG Methods for the Quadratic FEM Discretizations of 2D Concrete Aggregate Models

  Yingxiong Xiao, Heng Chen and Lingjie Xie

  2021-07-01

  DOI:10.4208/aamm.OA-2019-0002

  48181 4259 pp. 1376-1397

• Stability of Two Conservative, High-Order Fluid-Fluid Coupling Methods

  Jeffrey M. Connors, Robert D. Dolan

  2021-07-01

  DOI:10.4208/aamm.OA-2018-0212

  64350 4653 pp. 1287-1338

• A Bilinear Petrov-Galerkin Finite Element Method for Solving Elliptic Equation with Discontinuous Coefficients

  Liqun Wang, Songming Hou, Liwei Shi, Ping Zhang

  2019-01-04

  DOI:10.4208/aamm.OA-2018-0099

  48011 4851 pp. 216-240

• A New Energy-Preserving Scheme for the Fractional Klein-Gordon-Schrödinger Equations

  Yao Shi, Qiang Ma, Xiaohua Ding

  2019-06-24

  DOI:10.4208/aamm.OA-2018-0157

  45560 3327 pp. 1219-1247