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• 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

  27670 2771 Pages:667-691

• 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

  11412 863 Pages: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

  13127 1258 Pages: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

  44782 4129 Pages: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

  43990 3906 Pages: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

  25253 2378 Pages:1277-1296

• 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

  48604 3614 Pages: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

  26742 2340 Pages: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

  7956 553 Pages: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

  55360 3191 Pages:437-458

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

  Hao Tian, Xianchu Yang, Chenguang Liu, Guilin Liu

  2024-01-04

  29604 2501 Pages: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

  26696 2361 Pages:208-236

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

  Jiequan Li

  2019-04-16

  49136 3244 Pages:571-582

• An Efficient Numerical Scheme Based on Sinc Functions for the Analysis of 1D Peridynamic Models

  Debabrata Singh, Madan Mohan Panja

  2026-01-10

  104 1

• 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

  40731 3286 Pages:322-358

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

  Jiaqi Zhang, Yin Yang, Zhaojie Zhou

  2023-10-11

  30809 2757 Pages: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

  31044 2792 Pages: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

  30768 2936 Pages: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

  48933 2773 Pages:1428-1455

• A Quadratic Finite Volume Method for Parabolic Problems

  Yuanyuan Zhang, Xiaoping Liu

  2023-10-11

  30540 2732 Pages:1407-1427

• Sinc-Multistep Schemes for Forward Backward Stochastic Differential Equations

  Xu Wang, Weidong Zhao

  2023-02-24

  39068 3407 Pages: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

  40246 3397 Pages: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

  38091 3500 Pages:623-650

• A Conservative SAV-RRK Finite Element Method for the Nonlinear Schrödinger Equation

  Jun Yang, Nianyu Yi

  2023-02-24

  40129 3480 Pages: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

  39084 3314 Pages: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

  38142 3185 Pages: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

  36478 2992 Pages:1001-1022