Search Results

• Explicit, Monotone and Structure-Preserving Finite Difference Methods for Fisher-Kolmogorov-Petrovsky-Piscounov Equation and Allen-Cahn Equation

  Yuxin Liang, Dingwen Deng

  2026-04-01

  DOI:10.4208/aamm.OA-2023-0267

  5098 237 pp. 450-481

• The Spatial-Temporal Fourth-Order Conservative Characteristic Runge-Kutta Finite Difference Method for Convection-Dominated Diffusion Equation

  Dan Qin, Kai Fu, Dong Liang

  2025-03-14

  DOI:10.4208/aamm.OA-2023-0173

  11582 918 pp. 732-757

• High Order Well-Balanced Finite Difference AWENO Scheme for Ripa and Pollutant Transport Systems

  Yue Liu, Zhen Gao, Peng Li, Yaguang Gu

  2024-12-31

  DOI:10.4208/aamm.OA-2022-0144

  13296 1310 pp. 554-579

• 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

• Multi-Modes Multiscale Approach of Heat Transfer Problems in Heterogeneous Solids with Uncertain Thermal Conductivity

  Shan Zhang, Zihao Yang, Xiaofei Guan

  2022-10-24

  DOI:10.4208/aamm.OA-2022-0048

  44118 4002 pp. 69-93

• An Efficient Regularized Lattice Boltzmann Method to Solve Consistent and Conservative Phase Field Model for Simulating Incompressible Two-Phase Flows

  Xuguang Yang, Yuze Zhang

  2024-07-22

  DOI:10.4208/aamm.OA-2024-0021

  25444 2428 pp. 1277-1296

• An Explicit Method for the Coupled Forward Backward Stochastic Differential Equations

  Xiao Tang, Jie Xiong

  2025-09-29

  DOI:10.4208/aamm.OA-2024-0026

  7288 364 pp. 1682-1714

• 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

• Investigating Droplet and Bubble Deformation under Shear Flow Using the Multi-Pseudo-Potential Scheme of Lattice Boltzmann Method

  Raheleh Sharifi, Mostafa Varmazyar, Arash Mohammadi

  2024-01-04

  DOI:10.4208/aamm.OA-2021-0326

  26916 2390 pp. 519-548

• High-Resolution Upwind Strategy for the MLS Method with Applications to Convection Dominated Diffusion Problems

  Xueying Zhang, Nuoya Cui, Yangjiong Wu

  2025-07-19

  DOI:10.4208/aamm.OA-2022-0327

  8123 603 pp. 1353-1369

• Calculation of Four-Dimensional Unsteady Gas Flow via Different Quadrature Schemes and Runge-Kutta 4th Order Method

  M. Salah, M. S. Matbuly, O. Civalek, Ola Ragb

  2024-01-04

  DOI:10.4208/aamm.OA-2021-0373

  55530 3235 pp. 437-458

• A Fast Implementation of the Linear Bond-Based Peridynamic Beam Model

  Hao Tian, Xianchu Yang, Chenguang Liu, Guilin Liu

  2024-01-04

  DOI:10.4208/aamm.OA-2023-0059

  29744 2534 pp. 305-330

• Local Discontinuous Galerkin Methods with Decoupled Implicit-Explicit Time Marching for the Growth-Mediated Autochemotactic Pattern Formation Model

  Hui Wang, Hui Guo, Jiansong Zhang, Lulu Tian

  2023-12-21

  DOI:10.4208/aamm.OA-2022-0217

  26815 2435 pp. 208-236

• Fundamentals of Lax-Wendroff Type Approach to Hyperbolic Problems with Discontinuities

  Jiequan Li

  2019-04-16

  DOI:10.4208/aamm.2018.s02

  49243 3293 pp. 571-582

• Nonconforming Mixed FEM Analysis for Multi-Term Time-Fractional Mixed Sub-Diffusion and Diffusion-Wave Equation with Time-Space Coupled Derivative

  Fangfang Cao, Yanmin Zhao, Fenling Wang, Yanhua Shi, Changhui Yao

  2022-12-13

  DOI:10.4208/aamm.OA-2021-0263

  40942 3320 pp. 322-358

• Spectral Galerkin Approximation of Fractional Optimal Control Problems with Fractional Laplacian

  Jiaqi Zhang, Yin Yang, Zhaojie Zhou

  2023-10-11

  DOI:10.4208/aamm.OA-2022-0173

  30948 2797 pp. 1631-1654

• A Convex Approximation for a PDE Constrained Fractional Optimization Problem with an Application to Photonic Crystal Design

  Mengyue Wu, Jianhua Yuan, Jianxin Zhang

  2023-10-11

  DOI:10.4208/aamm.OA-2022-0003

  31184 2838 pp. 1540-1561

• 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

• Partial Topology Identification of Stochastic Multi-Weighted Complex Networks Based on Graph-Theoretic Method and Adaptive Synchronization

  Huiling Chen, Chunmei Zhang, Yuli Feng, Qin Xu

  2023-10-11

  DOI:10.4208/aamm.OA-2022-0068

  49064 2815 pp. 1428-1455

• A Quadratic Finite Volume Method for Parabolic Problems

  Yuanyuan Zhang, Xiaoping Liu

  2023-10-11

  DOI:10.4208/aamm.OA-2021-0313

  30657 2767 pp. 1407-1427

• Sinc-Multistep Schemes for Forward Backward Stochastic Differential Equations

  Xu Wang, Weidong Zhao

  2023-02-24

  DOI:10.4208/aamm.OA-2022-0073

  39188 3451 pp. 737-768

• Convergence and Stability of an Explicit Method for Autonomous Time-Changed Stochastic Differential Equations with Super-Linear Coefficients

  Xiaotong Li, Juan Liao, Wei Liu, Zhuo Xing

  2023-02-24

  DOI:10.4208/aamm.OA-2021-0335

  40369 3436 pp. 651-683

• A Two-Dimensional Thermoelastic Analysis of a Cylindrical Shell Made of FGM with Temperature-Dependent Physical Properties

  Hamed Panahi-Kalus, Amin Moosaie, Mehrdad Ahmadinejad

  2023-02-24

  DOI:10.4208/aamm.OA-2021-0282

  38227 3543 pp. 623-650

• 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

• 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

• Numerical Investigation of the Pulsatile Flow of Viscous Fluid in Constricted Wall Channel with Thermal Radiation

  Amjad Ali, Zainab Bukhari, Hamayun Farooq, Zaheer Abbas

  2023-04-11

  DOI:10.4208/aamm.OA-2020-0394

  36593 3025 pp. 1001-1022