Search Results

• A Reduced Basis Method for the Nonlinear Poisson-Boltzmann Equation

  Lijie Ji, Yanlai Chen, Zhenli Xu

  2019-06-24

  DOI:10.4208/aamm.OA-2018-0188

  46623 3279 pp. 1200-1218

• A New Fifth-Order Trigonometric WENO Scheme for Hyperbolic Conservation Laws and Highly Oscillatory Problems

  Yanmeng Wang, Jun Zhu, Lianglin Xiong

  2019-06-24

  DOI:10.4208/aamm.OA-2018-0221

  46105 3357 pp. 1114-1135

• A New Reduced Basis Method for Parabolic Equations Based on Single-Eigenvalue Acceleration

  Qijia Zhai, Qingguo Hong, Xiaoping Xie

  2024-11-01

  DOI:10.4208/aamm.OA-2023-0053

  16088 1478 pp. 1328-1357

• High-Resolution and High-Precision Weighted Essentially Non-Oscillatory Scheme for Compressible Flow Simulations

  Shujiang Tang

  2024-05-14

  DOI:10.4208/aamm.OA-2022-0321

  25344 2419 pp. 980-1008

• A New Finite Difference Well-Balanced Mapped Unequal-Sized WENO Scheme for Solving Shallow Water Equations

  Liang Li, Zhenming Wang, Jun Zhu

  2024-07-22

  DOI:10.4208/aamm.OA-2022-0228

  26235 2546 pp. 1176-1196

• 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

• Nonlinear Vibroacoustic Analysis of Functionally Graded Plates in the Thermal Ambiance at Oblique Incidence

  F. Samadani, S. Roohollah Kazemi

  2025-07-19

  DOI:10.4208/aamm.OA-2023-0124

  8034 567 pp. 1550-1590

• Penalty Finite Element Method for the 2D/3D Unsteady Incompressible Thermomicropolar Fluid Equations

  Junru Guo, Demin Liu

  2025-07-19

  DOI:10.4208/aamm.OA-2023-0238

  8143 582 pp. 1509-1549

• Fluid-Structure Interaction Simulation of Heart Valve Flows by a Hybrid Immersed-Boundary/Body-Fitted-Grid Method

  Jingyang Wang, Chunhua Zhou, Zhendong Xu

  2025-07-19

  DOI:10.4208/aamm.OA-2023-0176

  8163 545 pp. 1456-1480

• Moving Finite Element Methods for a System of Semi-Linear Fractional Diffusion Equations

  Jingtang Ma, Zhiqiang Zhou

  2021-07-01

  DOI:10.4208/aamm.2015.m1065

  44051 4120 pp. 911-931

• A Compact Eulerian Interface–Capturing Algorithm for Compressible Multimaterial Elastic–Plastic Flows with Mie–Grüneisen Equation of State

  Xiang Li, Dong-Jun Ma, Nan-Sheng Liu, Pei Wang

  2022-12-13

  DOI:10.4208/aamm.OA-2021-0019

  38677 2981 pp. 485-521

• A Coiflet Wavelet Homotopy Technique for Nonlinear PDEs: Application to the Extreme Bending of Orthotropic Plate with Forced Boundary Constraints

  Qiang Yu, Shuaimin Wang, Junfeng Xiao, Hang Xu

  2023-10-11

  DOI:10.4208/aamm.OA-2022-0214

  31109 2811 pp. 1473-1514

• Construction of Non-Equilibrium Gas Distribution Functions Through Expansions in Peculiar Velocity Space

  Z. Y. Yuan, Z. Chen, C. Shu, Y. Y. Liu, Z. L. Zhang

  2023-10-11

  DOI:10.4208/aamm.OA-2022-0195

  30897 2975 pp. 1456-1472

• Edge Detectors Based on Pauta Criterion with Application to Hybrid Compact-WENO Finite Difference Scheme

  Chunhua Zhang, Zhen Gao, Sa Ye, Peng Li

  2023-10-11

  DOI:10.4208/aamm.OA-2021-0250

  72022 3126 pp. 1379-1406

• 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

• A Maximum-Principle-Preserving Finite Volume Scheme for Diffusion Problems on Distorted Meshes

  Dan Wu, Junliang Lv, Lei Lin, Zhiqiang Sheng

  2023-04-11

  DOI:10.4208/aamm.OA-2022-0224

  38269 3218 pp. 1076-1108

• A Reconstructed Discontinuous Approximation to Monge-Ampère Equation in Least Square Formulation

  Ruo Li, Fanyi Yang

  2023-06-21

  DOI:10.4208/aamm.OA-2022-0047

  38558 3293 pp. 1109-1141

• A Posteriori Error Estimate for Stabilized Low-Order Mixed FEM for the Stokes Equations

  Yinnian He, Cong Xie, Haibiao Zheng

  2021-07-01

  DOI:10.4208/aamm.09-m0995

  39633 4093 pp. 798-809

• Analytical Solution for the Lattice Boltzmann Model Beyond Naviers-Stokes

  Jianping Meng, Yonghao Zhang

  2021-01-25

  DOI:10.4208/aamm.10-10S09

  41035 4051 pp. 670-676

• A High-Accuracy Mechanical Quadrature Method for Solving the Axisymmetric Poisson's Equation

  Hu Li, Jin Huang

  2018-05-05

  DOI:10.4208/aamm.2015.m1287

  42158 2980 pp. 393-406

• An Extrapolation Cascadic Multigrid Method for Elliptic Problems on Reentrant Domains

  Kejia Pan, Dongdong He, Chuanmiao Chen

  2021-07-01

  DOI:10.4208/aamm.OA-2016-0019

  43106 3904 pp. 1347-1363

• A Simple Implementation of the Semi-Lagrangian Level-Set Method

  Weidong Shi, Jian-Jun Xu, Shi Shu

  2018-05-05

  DOI:10.4208/aamm.2015.m1305

  43660 4665 pp. 104-124

• Fibre-Reinforced Generalized Anisotropic Thick Plate with Initial Stress under the Influence of Fractional Thermoelasticity Theory

  Ahmed. E. Abouelregal

  2018-08-04

  DOI:10.4208/aamm.2015.m60

  42032 3056 pp. 722-741

• Numerical Simulation of Deflagration to Detonation Transition in a Straight Duct: Effects of Energy Release and Detonation Stability

  Hua-Shu Dou, Zongmin Hu, Boo Cheong Khoo, Zonglin Jiang

  2021-07-01

  DOI:10.4208/aamm.2013.m159

  43860 4696 pp. 718-731

• Two-Scale Picard Stabilized Finite Volume Method for the Incompressible Flow

  Jianhong Yang, Lei Gang, Jianwei Yang

  2014-06-01

  DOI:10.4208/aamm.2013.m153

  42692 4292 pp. 663-679

• Multiscale Basis Functions for Singular Perturbation on Adaptively Graded Meshes

  Mei-Ling Sun, Shan Jiang

  2014-06-01

  DOI:10.4208/aamm.2013.m488

  42653 4230 pp. 604-614

• Collocation Methods for Hyperbolic Partial Differential Equations with Singular Sources

  Jae-Hun Jung, Wai Sun Don

  2021-07-01

  DOI:10.4208/aamm.09-m09S10

  41818 4266 pp. 769-780