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• On Diagonal Form Fast Multipole Method for an Oscillatory Boundary Integral Equation

  Qinghua Wu

  2019-06-24

  44462 3116 Pages:1248-1262

• Approximate Solution of Some Plane Boundary Value Problems for Perforated Cosserat Elastic Bodies

  Roman Janjgava

  2019-06-24

  44564 3289 Pages:1064-1083

• A Novel Temporal Two-Grid Compact Finite Difference Scheme for the Viscous Burgers’ Equation

  Xiangyi Peng, Wenlin Qiu, Jiangxing Wang, Lina Ma

  2024-11-01

  15838 1410 Pages:1358-1380

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

  Qijia Zhai, Qingguo Hong, Xiaoping Xie

  2024-11-01

  15758 1386 Pages:1328-1357

• Nonpolynomial Jacobi Spectral-Collocation Method for Weakly Singular Fredholm Integral Equations of the Second Kind

  Qiumei Huang, Min Wang

  2024-05-14

  25203 2512 Pages:927-951

• Deep Neural Network for Oscillation Dynamics of Capillary Rise

  Fang Shan, Hao Yu, Zhenhua Chai, Yanfang Xu, Baochang Shi

  2024-12-31

  12820 1152 Pages:663-680

• Comparison of Sharp and Diffuse Interface Methods for Radially Symmetric Compressible Multi-Medium Fluid Flows

  Xiaotao Zhang, Tiegang Liu, Fan Zhang, Zhiqiang Zeng, Chengliang Feng

  2024-12-31

  13167 1189 Pages:407-439

• 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

• Finite Volume Element Method for a Nonlinear Parabolic Equation

  Yanwei Du, Yonghai Li

  2025-03-14

  11085 765 Pages:681-705

• The Formulation of Finite Difference Hermite RBF-WENO Schemes for Hyperbolic Conservation Laws: An Alternative Technique

  Rooholah Abedian

  2025-05-12

  8325 494 Pages:1275-1309

• Physics-Informed Deep Learning Method for Surrogate Modeling in Elastic Mechanics

  Dan Li, Xinming Lu, Hongjuan Wang, Guibin Liu, Xin Liu

  2025-05-12

  8360 472 Pages:1239-1258

• Local Discontinuous Galerkin Method for the Backward Feynman-Kac Equation

  Dong Liu, Weihua Deng

  2025-05-12

  8299 493 Pages:1204-1238

• Optimal Error Analysis of Euler and BDF2 Semi-Renormalized FEMs for the Landau-Lifshitz-Slonczewski Equation

  Yundan Zhao, Rong An

  2025-05-12

  8540 499 Pages:1063-1087

• Thirteen-Velocity Three-Dimensional Multiple-Relaxation-Time Lattice Boltzmann Model for Incompressible Navier-Stokes Equations

  Wenhuan Zhang, Shibo Kuang, Zhenhua Chai, Baochang Shi

  2025-05-12

  8819 543 Pages:1037-1062

• Mathematical Modeling and Hyers-Ulam Stability for a Nonlinear Epidemiological Model with $Φ_p$ Operator and Mittag-Leffler Kernel

  Achraf Zinihi, Moulay Rchid Sidi Ammi, Matthias Ehrhardt

  2025-07-19

  7426 463 Pages:1481-1508

• Spectral Scheme for Nonlinear Volterra Integro-Differential Equation

  Weishan Zheng, Yanping Chen, Jianwei Zhou

  2025-07-19

  7586 477 Pages:1395-1410

• Mathematical Models for the Propagation of Stress Waves in Elastic Rods: Exact Solutions and Numerical Simulation

  H. M. Tenkam, M. Shatalov, I. Fedotov, R. Anguelov

  2018-05-05

  40828 3046 Pages:257-270

• Bifurcations and Single Peak Solitary Wave Solutions of an Integrable Nonlinear Wave Equation

  Wei Wang, Chunhai Li, Wenjing Zhu

  2021-07-01

  43090 3728 Pages:1084-1098

• New Non-Travelling Wave Solutions of Calogero Equation

  Xiaoming Peng, Yadong Shang, Xiaoxiao Zheng

  2021-07-01

  43636 3725 Pages:1036-1049

• A Hybrid Lattice Boltzmann Flux Solver for Simulation of Viscous Compressible Flows

  L. M. Yang, C. Shu, J. Wu

  2021-07-01

  44689 4231 Pages:887-910

• Time-Domain Numerical Solutions of Maxwell Interface Problems with Discontinuous Electromagnetic Waves

  Ya Zhang, Duc Duy Nguyen, Kewei Du, Jin Xu, Shan Zhao

  2018-05-05

  41886 4574 Pages:353-385 Open-access

• A Study of Crack-Face Boundary Conditions for Piezoelectric Strip Cut Along Two Equal Collinear Cracks

  R. R. Bhargava, Pooja Raj Verma

  2018-05-05

  41293 3053 Pages:573-587

• Unified a Priori Error Estimate and a Posteriori Error Estimate of CIP-FEM for Elliptic Equations

  Jianye Wang, Rui Ma

  2018-05-05

  42093 2998 Pages:517-535

• Coefficient Jump-Independent Approximation of the Conforming and Nonconforming Finite Element Solutions

  Shangyou Zhang

  2018-05-05

  43458 2987 Pages:722-736

• A Novel Wavelet-Homotopy Galerkin Method for Unsteady Nonlinear Wave Equations

  Yue Zhou, Hang Xu

  2023-04-11

  37516 3085 Pages:964-983