Search Results

• Hamiltonian Boundary Value Method for the Nonlinear Schrödinger Equation and the Korteweg-de Vries Equation

  Mingzhan Song, Xu Qian, Hong Zhang, Songhe Song

  2018-05-05

  DOI:10.4208/aamm.2015.m1356

  42315 3058 pp. 868-886

• An Isoparametric Finite Element Method for Reissner-Mindlin Plate Problem on Curved Domain

  Zhixin Liu, Minghui Song, Shicang Song

  2024-02-29

  DOI:10.4208/aamm.OA-2022-0206

  27099 2691 pp. 715-737

• 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

• Legendre Neural Network for Solving Linear Variable Coefficients Delay Differential-Algebraic Equations with Weak Discontinuities

  Hongliang Liu, Jingwen Song, Huini Liu, Jie Xu, Lijuan Li

  2020-10-20

  DOI:10.4208/aamm.OA-2019-0281

  54295 5009 pp. 101-118

• The Investigation of Rayleigh-Taylor Mixing with a Premixed Layer by BHR Turbulence Model

  Yang Song, Lili Wang, Pei Wang

  2022-06-13

  DOI:10.4208/aamm.OA-2021-0032

  43262 3565 pp. 1017-1039

• A Well-Balanced Weighted Compact Nonlinear Scheme for Pre-Balanced Shallow Water Equations

  Mingyang Cheng, Lingyan Tang, Yaming Chen, Songhe Song

  2022-06-13

  DOI:10.4208/aamm.OA-2021-0117

  42526 3618 pp. 1181-1200

• 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

• Contaminant Flow and Transport Simulation in Cracked Porous Media Using Locally Conservative Schemes

  Pu Song, Shuyu Sun

  2012-04-01

  DOI:10.4208/aamm.10-m1108

  42404 4769 pp. 389-421

• A Constitutive Model for the Creep Behavior of Offwhite Marbles

  X. D. Song, J. H. Ren

  2012-04-01

  DOI:10.4208/aamm.10-m11156

  41005 4198 pp. 354-364

• An Upwind Mixed Finite Element Method on Changing Meshes for Positive Semi-Definite Oil-Water Displacement of Darcy-Forchheimer Flow in Porous Media

  Yirang Yuan, Huailing Song, Changfeng Li, Tongjun Sun

  2020-07-24

  DOI:10.4208/aamm.OA-2019-0256

  49744 3325 pp. 1196-1223

• 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

• An Inf-Sup Stabilized Finite Element Method by Multiscale Functions for the Stokes Equations

  Zhihao Ge, Yinnian He, Lingyu Song

  2018-08-10

  40202 3932 pp. 273-287

• Explicit Multi-Symplectic Splitting Methods for the Nonlinear Dirac Equation

  Yaming Chen, Songhe Song, Huajun Zhu

  2014-06-01

  DOI:10.4208/aamm.2013.m278

  44009 4589 pp. 494-514

• A Four-Equation Eddy-Viscosity Approach for Modeling Bypass Transition

  Guoliang Xu, Song Fu

  2014-06-01

  DOI:10.4208/aamm.2013.m266

  44142 4822 pp. 523-538 Open Access

• Numerical Study of Geometric Multigrid Methods on CPU-GPU Heterogeneous Computers

  Chunsheng Feng, Shi Shu, Jinchao Xu, Chen-Song Zhang

  2014-06-01

  DOI:10.4208/aamm.2013.m87

  51028 6186 pp. 1-23

• 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

• Development of a Novel Nonlinear Dynamic Cavitation Model and Its Numerical Validations

  Haidong Yu, Xiaobo Quan, Haipeng Wei, Matevž Dular, Song Fu

  2024-02-29

  DOI:10.4208/aamm.OA-2023-0041

  29158 2845 pp. 771-804

• Novel Conformal Structure-Preserving Algorithms for Coupled Damped Nonlinear Schrödinger System

  Hao Fu, Weien Zhou, Xu Qian, Songhe Song

  2021-07-01

  DOI:10.4208/aamm.OA-2016-0164

  42965 3923 pp. 1383-1403

• A Priori Error Estimates for Spectral Galerkin Approximations of Integral State-Constrained Fractional Optimal Control Problems

  Juan Zhang, Jiabin Song, Huanzhen Chen

  2023-02-24

  DOI:10.4208/aamm.OA-2021-0251

  39209 3361 pp. 568-582

• 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 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

• A Splitting Method for the Degasperis-Procesi Equation Using an Optimized WENO Scheme and the Fourier Pseudospectral Method

  Yunrui Guo, Wenjing Yang, Hong Zhang, Ji Wang, Songhe Song

  2019-01-04

  DOI:10.4208/aamm.OA-2018-0054

  47665 5220 pp. 53-71

• The New Mode of Instability in Viscous High-Speed Boundary Layer Flows

  Jie Ren, Youcheng Xi, Song Fu

  2018-09-17

  DOI:10.4208/aamm.OA-2017-0298

  46646 3210 pp. 1057-1068

• Sensitivity Analysis of Inflow Conditions and Turbulence Models on Wind Turbine Wake Simulation Using an AD/RANS Approach

  Linlin Tian, Chunling Zhu, Ning Zhao, Wei Zhong, Yilei Song

  2018-09-17

  DOI:10.4208/aamm.OA-2017-0253

  47354 3466 pp. 978-997

• A Maximum-Principle-Preserving Third Order Finite Volume SWENO Scheme on Unstructured Triangular Meshes

  Yunrui Guo, Lingyan Tang, Hong Zhang, Songhe Song

  2018-09-17

  DOI:10.4208/aamm.OA-2016-0196

  47335 6298 pp. 114-137

• A New Explicit Symplectic Fourier Pseudospectral Method for Klein-Gordon-Schrödinger Equation

  Yanhong Yang, Yongzhong Song, Haochen Li, Yushun Wang

  2018-09-17

  DOI:10.4208/aamm.OA-2017-0038

  44321 4961 pp. 242-260

• 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