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• 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

  35716 2705 Pages:319-339

• A New Energy-Conserved S-FDTD Scheme for Maxwell's Equations in Metamaterials

  W. Li, D. Liang & Y. Lin

  2013-10-01

  33000 2520 Pages:775-794

• A General Strategy for Numerical Approximations of Non-Equilibrium Models – Part I: Thermodynamical Systems

  Jia Zhao, Xiaofeng Yang, Yuezheng Gong, Xueping Zhao, Xiaogang Yang, Jun Li, Qi Wang

  2018-08-15

  34247 2726 Pages:884-918

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

  P. Aursand & U. Koley

  2016-01-08

  33177 4422 Pages:20-47

• Periodic Centroidal Voronoi Tessellations

  J. Zhang, M. Emelianenko, Q. Du

  2012-09-01

  33314 2545 Pages:950-969

• 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

  5903 453 Pages:843-859

• Force Convergence for the de Gennes-Cahn-Hilliard Energy

  Shibin Dai, Abba Ramadan, Joseph Renzi

  2025-05-26

  7651 447 Pages:745-754

• 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

  42794 2644 Pages:642-655

• The Time High-Order Energy-Preserving Schemes for the Nonlocal Benjamin-Ono Equation

  Chunguang Chen, Dong Liang, Shusen Xie

  2020-08-04

  32070 2639 Pages:543-556

• 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

  7644 439 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

  6945 518 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

  7046 491 Pages:483-509

• A Simple Fast Algorithm for Minimization of the Elastica Energy Combining Binary and Level Set Representations

  Xue-Cheng Tai & Jinming Duan

  2017-10-03

  33113 2688 Pages:809-821

• Efficient Energy-Stable Dynamic Modeling of Compositional Grading

  J.-S. Kou & S.-Y. Sun

  2016-05-08

  31865 2718 Pages:218-242

• Energy-Conservative Finite Difference Method for the Coupled Nonlinear Klein-Gordon Equation in the Nonrelativistic Limit Regime

  Ming Cui, Yanfei Li

  2025-02-20

  8572 562 Pages:246-267

• 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

  29389 2501 Pages:459-477

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

  Xiaochun Chen, Cheng Wang, Steven M. Wise

  2022-09-27

  37353 2716 Pages:839-863

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

  Asad Anees, Lutz Angermann

  2022-06-22

  37358 2596 Pages:511-541

• Energy and Mass Conservative Averaging Local Discontinuous Galerkin Method for Schrödinger Equation

  Fubiao Lin, Yaxiang Li, Jun Zhang

  2021-11-05

  43177 2614 Pages:723-739

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

  ​Puttha Sakkaplangkul, Vrushali A. Bokil

  2021-05-25

  41199 2617 Pages:524-568

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

  Yuzhe Qin, Cheng Wang, Zhengru Zhang

  2021-03-25

  38404 2573 Pages:399-425

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

  Maninder Sarai, Dong Liang

  2021-02-04

  33045 3346 Pages:79-99

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

  V. A. Bokil, N. L. Gibson

  2014-11-01

  33041 2587 Pages:657-687

• Application of an Energy-Minimizing Algebraic Multigrid Method for Subsurface Water Simulations

  J.-R. C. Cheng, X.-H. Huang, S. Shu, J. Xu, C.-S. Zhang, S. Zhang, Z. Zhou

  2013-10-01

  32505 2665 Pages:374-388

• Finite Element Approximation of the Gradient Flow for a Class of Linear Growth Energies with Applications to Color Image Denoising

  X. Feng & M. Yoon

  2009-08-07

  31317 2500 Pages:389-401

• A Study on Phase-Field Models for Brittle Fracture

  Fei Zhang, Weizhang Huang, Xianping Li, Shicheng Zhang

  2022-09-27

  37667 2670 Pages:793-821

• Comparative Studies on Mesh-Free Deep Neural Network Approach Versus Finite Element Method for Solving Coupled Nonlinear Hyperbolic/Wave Equations

  Xingwen Zhu, Mingyan He, Pengtao Sun

  2022-08-22

  297227 2787 Pages:603-629