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• Numerical Analysis of the Finite Difference Time Domain Methods with High Accuracy in Time for Maxwell Equations

  Liping Gao, Xiaosong Zhang, Rengang Shi

  2025-08-04

  6362 550 Pages:843-859

• Stabilized Invariant Energy Quadratization (S-IEQ) Method for the Molecular Beam Epitaxial Model Without Slope Section

  Hui Zhang, Xiaofeng Yang, Jun Zhang

  2021-08-09

  43017 2706 Pages:642-655

• High-Order Energy Stable Numerical Schemes for a Nonlinear Variational Wave Equation Modeling Nematic Liquid Crystals in Two Dimensions

  Peder Aursand, Ujjwal Koley

  2016-01-08

  33365 4545 Pages:20-47

• Numerical Analysis of an Energy-Conservation Scheme for Two-Dimensional Hamiltonian Wave Equations with Neumann Boundary Conditions

  Changying Liu, Wei Shi, Xinyuan Wu

  2019-02-22

  35894 2762 Pages:319-339

• Unconditional Energy Stability and Solvability for a C0 Interior Penalty Method for a Sixth-Order Equation Modeling Microemulsions

  Amanda E. Diegel, Natasha S. Sharma

  2023-05-22

  29615 2565 Pages:459-477

• Analysis of Artificial Dissipation of Explicit and Implicit Time-Integration Methods

  Philipp Öffner, Jan Glaubitz, Hendrik Ranocha

  2020-05-20

  34930 2714 Pages:332-349

• An Energy-Dissipation Finite Element Pressure-Correction Scheme for the Hydrodynamics of Smectic-A Liquid Crystals

  Panpan Guo, Guang-An Zou, Min Zhang

  2025-05-26

  7941 533 Pages:637-670

• An Unconditionally Energy-Stable SAV-DG Numerical Scheme for Tumor Growth Model

  Penghao Guo, Bo Wang, Guang-An Zou

  2025-04-29

  7193 610 Pages:510-533

• Convergence Analysis of a Preconditioned Steepest Descent Solver for the Cahn-Hilliard Equation with Logarithmic Potential

  Amanda E. Diegel, Cheng Wang, Steven M. Wise

  2025-04-29

  7279 570 Pages:483-509

• Analysis of Any-Order Runge-Kutta Spectral Volume Schemes for 1D Hyperbolic Equations

  Ping Wei, Qingsong Zou

  2025-12-28

  1106 143 Pages:184-222

• Global Stability of Critical Traveling Waves with Oscillations for Time-Delayed Reaction-Diffusion Equations

  Ming Mei, Kaijun Zhang, Qifeng Zhang

  2018-11-22

  34023 2937 Pages:375-397

• A Scalar Auxiliary Variable (SAV) and Operator Splitting Compact Finite Difference Method for Peritectic Phase Field Model

  Jiajie Fei, Shusen Xie , Chunguang Chen

  2022-03-22

  30401 3228 Pages:85-100

• A Preconditioned Steepest Descent Solver for the Cahn-Hilliard Equation with Variable Mobility

  Xiaochun Chen, Cheng Wang, Steven M. Wise

  2022-09-27

  37566 2770 Pages:839-863

• A Positivity-Preserving and Convergent Numerical Scheme for the Binary Fluid-Surfactant System

  Yuzhe Qin, Cheng Wang, Zhengru Zhang

  2021-03-25

  38585 2622 Pages:399-425

• Convergence Analysis of Yee Schemes for Maxwell's Equations in Debye and Lorentz Dispersive Media

  V. A. Bokil, N. L. Gibson

  2014-11-01

  33204 2648 Pages:657-687

• Efficient Energy-Stable Dynamic Modeling of Compositional Grading

  Jisheng Kou, Shuyu Sun

  2016-05-08

  32039 2756 Pages:218-242

• Optimal Error Estimates of the Local Discontinuous Galerkin Method for the Two-Dimensional Sine-Gordon Equation on Cartesian Grids

  Mahboub Baccouch

  2018-11-22

  33433 2793 Pages:436-462

• Energy Stable Time Domain Finite Element Methods for Nonlinear Models in Optics and Photonics

  Asad Anees, Lutz Angermann

  2022-06-22

  37585 2645 Pages:511-541

• Convergence Analysis of Yee-FDTD Schemes for 3D Maxwell's Equations in Linear Dispersive Media

  ​Puttha Sakkaplangkul, Vrushali A. Bokil

  2021-05-25

  41418 2689 Pages:524-568

• Even-Odd Cycled High-Order Splitting Finite Difference Time Domain Method for Maxwell's Equations

  Maninder Sarai, Dong Liang

  2021-02-04

  33213 3437 Pages:79-99

• Theoretical and Numerical Studies on Global Stability of Traveling Waves with Oscillations for Time-Delayed Nonlocal Dispersion Equations

  Tianyuan Xu, Shanming Ji, Rui Huang, Ming Mei, Jingxue Yin

  2021-02-04

  34919 3799 Pages:68-86

• The Weighted and Shifted Two-Step BDF Method for Allen-Cahn Equation on Variable Grids

  Minghua Chen, Fan Yu, Qingdong Zhang

  2025-05-26

  7962 662 Pages:671-693

• A Finite Element Method for Anisotropic Crystal Growth on Surfaces

  Harald Garcke, Robert Nürnberg

  2025-05-26

  7961 566 Pages:614-636

• Variable Time Step Method of Dahlquist, Liniger and Nevanlinna (DLN) for a Corrected Smagorinsky Model

  Farjana Siddiqua, Wenlong Pei

  2024-10-09

  14087 1116 Pages:879-909

• Unconditionally Energy Stable and First-Order Accurate Numerical Schemes for the Heat Equation with Uncertain Temperature-Dependent Conductivity

  Joseph Anthony Fiordilino, Matthew Winger

  2023-11-13

  22457 1981 Pages:805-831

• The Arbitrary Lagrangian-Eulerian Finite Element Method for a Transient Stokes/Parabolic Interface Problem

  Ian Kesler, Rihui Lan, Pengtao Sun

  2021-03-25

  38704 2608 Pages:339-361

• A Compact Finite Difference Scheme for the Fourth-Order Time Multi-Term Fractional Sub-Diffusion Equations with the First Dirichlet Boundary Conditions

  Guang-Hua Gao, Rui Tang, Qian Yang

  2021-02-04

  33733 3491 Pages:100-119