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• Error Estimates and Superconvergence of Mixed Finite Element Methods for Optimal Control Problems with Low Regularity

  Yanping Chen, Tianliang Hou, Weishan Zheng

  2021-07-01

  43142 4074 Pages:751-768

• A Well-Balanced Runge-Kutta Discontinuous Galerkin Method for Multilayer Shallow Water Equations with Non-Flat Bottom Topography

  Nouh Izem, Mohammed Seaid

  2022-02-25

  47360 3264 Pages:725-758

• Superconvergence of Finite Element Approximations of the Two-Dimensional Cubic Nonlinear Schrödinger Equation

  Jianyun Wang, Zhikun Tian

  2022-02-25

  48906 3338 Pages:652-665

• Ultra-Chaos: An Insurmountable Objective Obstacle of Reproducibility and Replication

  Shijun Liao, Shijie Qin

  2022-04-11

  47089 4114 Pages:799-815 Open-access

• Positive and Conservative Characteristic Block-Centered Finite Difference Methods for Convection Dominated Diffusion Equations

  Xinshu Li, Kai Fu

  2022-06-13

  42234 3547 Pages:1087-1110

• An Improved Single-Relaxation-Time Multiphase Lattice Boltzmann Model for Multiphase Flows with Large Density Ratios and High Reynolds Numbers

  Qiaozhong Li, Xiaodong Niu, Zhiliang Lu, You Li, Adnan Khan, Zishu Yu

  2020-12-18

  44274 3217 Pages:426-454

• A Symplectic Conservative Perturbation Series Expansion Method for Linear Hamiltonian Systems with Perturbations and Its Applications

  Zhiping Qiu, Nan Jiang

  2021-11-17

  48257 3978 Pages:1535-1557

• Lower Bounds for Eigenvalues of the Stokes Operator

  Jun Hu, Yunqing Huang

  2018-08-10

  43467 4654 Pages:1-18

• Exploring Acoustic and Sound Wave Propagation Simulations: A Novel Time Advancement Method for Homogeneous and Heterogeneous Media

  Shashi Kumar, Bangaru Ramcharan, Vivek S. Yadav, Ankit Singh, Yogesh G. Bhumkar, Manoj K. Rajpoot

  2024-12-02

  14173 1058 Pages:315-349

• Superconvergence Analysis of Bilinear Finite Element for the Nonlinear Schrödinger Equation on the Rectangular Mesh

  Zhikun Tian, Yanping Chen, Jianyun Wang

  2018-09-17

  44905 3095 Pages:468-484

• A High-Order Localized Artificial Diffusivity Scheme for Discontinuity Capturing on 1D Drift-Flux Models for Gas-Liquid Flows

  Adyllyson H. Nascimento, Eugênio S. Rosa

  2023-12-21

  26519 2291 Pages:47-74

• Multi-Symplectic Method for the Zakharov-Kuznetsov Equation

  Haochen Li, Jianqiang Sun, Mengzhao Qin

  2018-03-29

  42544 4543 Pages:58-73

• A CDM-Based Tensile Instability Analysis in DP1180 Steel Sheet

  Bingying Zhou, Xuexi Cui, Bobin Guan, Zhigang Liu, Fei Han, Min Wan, Xiangdong Wu

  2025-10-04

  4595 107 Pages:642-665

• A Discrete Collocation Technique using the Thin Plate Splines for Solving a Certain Class of Integro-Differential Equations Arising in Biology Models

  Pouria Assari, Fatemeh Asadi-Mehregan, Mehdi Dehghan

  2025-11-22

  169 2

• A Ciarlet-Raviart Mixed Finite Element Method for Optimal Control Problems Governed by a Fourth Order Bi-Wave Equation

  Hongbo Guan, Wen Liu, Yong Yang

  2025-11-22

  158 3

• A Comparative Study of Finite Element and Finite Difference Methods for Two-Dimensional Space-Fractional Advection-Dispersion Equation

  Guofei Pang, Wen Chen, Kam Yim Sze

  2018-05-05

  43675 4554 Pages:166-186

• Improved Symmetry Property of High Order Weighted Essentially Non-Oscillatory Finite Difference Schemes for Hyperbolic Conservation Laws

  Wai Sun Don, Peng Li, Kwun Ying Wong, Zhen Gao

  2021-07-01

  56294 4549 Pages:1418-1439

• Lower Bounds of Eigenvalues of the Stokes Operator by Nonconforming Finite Elements on Local Quasi-Uniform Grids

  Youai Li

  2019-01-04

  46198 4352 Pages:241-254

• A Free Streaming Contact Preserving Scheme for the M1 Model

  C. Berthon, J. Dubois, B. Dubroca, T.-H. Nguyen-Bui, R. Turpault

  2018-11-01

  40260 3709 Pages:259-285

• 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

  12913 1204 Pages:554-579

• Error Analysis of Fully Discrete Data Assimilation Algorithms for Reaction-Diffusion Equation

  Wansheng Wang, Chengyu Jin, Yi Huang

  2025-03-14

  11037 784 Pages:840-866

• Spatial-Temporal Adaptive-Order Positivity-Preserving WENO Finite Difference Scheme with Relaxed CFL Condition for Euler Equations with Extreme Conditions

  Jia-Le Li, Wai-Sun Don, Cai-Feng Wang, Bao-Shan Wang

  2025-03-14

  11235 796 Pages:804-839

• Convergence Analysis of a Global-in-Time Iterative Decoupled Algorithm for Biot’s Model

  Huipeng Gu, Mingchao Cai, Jingzhi Li

  2025-03-14

  11091 781 Pages:778-803

• 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

  11206 814 Pages:732-757

• On a Large Time-Stepping Method for the Swift-Hohenberg Equation

  Zhengru Zhang, Yuanzi Ma

  2021-07-01

  44078 4146 Pages:992-1003

• Solution Reconstruction on Unstructured Tetrahedral Meshes Using P1 -Conservative Interpolation

  Biao Peng, Chunhua Zhou, Junqiang Ai

  2018-05-05

  42362 2971 Pages:847-870

• Radially Symmetrical Problems for Compressible Fluids with a High-Resolution Boundary Condition

  Zijin Zhu, Xiaoyan Hu, Guoxi Ni

  2022-12-13

  39824 3065 Pages:428-449