Search Results

• An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation

  Kelong Cheng, Cheng Wang, Steven M. Wise

  2019-08-27

  50875 3663 Pages:1335-1364

• A Decreasing Upper Bound of the Energy for Time-Fractional Phase-Field Equations

  Chaoyu Quan, Tao Tang, Boyi Wang, Jiang Yang

  2023-05-12

  38190 2996 Pages:962-991

• A Third Order BDF Energy Stable Linear Scheme for the No-Slope-Selection Thin Film Model

  Yonghong Hao, Qiumei Huang, Cheng Wang

  2021-01-13

  47424 3536 Pages:905-929

• Efficient Energy-Stable Parametric Finite Element Methods for Surface Diffusion Flow and Applications in Solid-State Dewetting

  Meng Li, Yihang Guo, Jingjiang Bi

  2025-08-23

  6444 480 Pages:729-765

• Thermodynamically Consistent Modeling and Energy Stable Numerical Simulation of Multicomponent Compressible Flow in Poroelastic Media

  Jisheng Kou, Amgad Salama, Huangxin Chen, Shuyu Sun

  2026-01-03

  2069 176 Pages:815-854

• An Exponential-Free Runge–Kutta Framework for Developing Third-Order Unconditionally Energy Stable Schemes for the Cahn–Hilliard Equation

  Haifeng Wang, Jingwei Sun, Hong Zhang, Xu Qian, Songhe Song

  2026-04-10

  151 34 Pages:199-238

• A Second-Order Energy Stable BDF Numerical Scheme for the Cahn-Hilliard Equation

  Yue Yan, Wenbin Chen, Cheng Wang, Steven M. Wise

  2018-08-21

  51837 3369 Pages:572-602

• Linear and Unconditionally Energy Stable Schemes for the Multi-Component Two-Phase Diffuse Interface Model with Peng-Robinson Equation of State

  Chenfei Zhang, Hongwei Li, Xiaoping Zhang, Lili Ju

  2019-07-02

  46174 3346 Pages:1071-1097

• A Second-Order Length-Preserving and Unconditionally Energy Stable Rotational Discrete Gradient Method for Oseen-Frank Gradient Flows

  Jie Xu, Xiaotian Yang, Zhiguo Yang

  2024-03-13

  26533 2290 Pages:369-394

• Efficient, Accurate and Energy Stable Discontinuous Galerkin Methods for Phase Field Models of Two-Phase Incompressible Flows

  Ruihan Guo, Yan Xu

  2019-07-02

  49555 3194 Pages:1224-1248

• A High Order Adaptive Time-Stepping Strategy and Local Discontinuous Galerkin Method for the Modified Phase Field Crystal Equation

  Ruihan Guo, Yan Xu

  2018-09-17

  67899 5549 Pages:123-151

• On Energy Stable Runge-Kutta Methods for the Water Wave Equation and Its Simplified Non-Local Hyperbolic Model

  Lei Li, Jian-Guo Liu, Zibu Liu, Yi Yang, Zhennan Zhou

  2022-07-06

  43058 3778 Pages:222-258

• Energy Stable Gradient Flow Schemes for Shape and Topology Optimization in Navier-Stokes Flows

  Jiajie Li, Shengfeng Zhu

  2025-08-08

  4861 564 Pages:404-438

• A Modified Crank-Nicolson Numerical Scheme for the Flory-Huggins Cahn-Hilliard Model

  Wenbin Chen, Jianyu Jing, Cheng Wang, Xiaoming Wang, Steven M. Wise

  2021-12-06

  49556 4333 Pages:60-93 Open-access

• On Linear and Unconditionally Energy Stable Algorithms for Variable Mobility Cahn-Hilliard Type Equation with Logarithmic Flory-Huggins Potential

  Xiaofeng Yang, Jia Zhao

  2018-11-09

  50254 3549 Pages:703-728

• A Class of Second-Order Energy-Stable Schemes for the Cahn-Hilliard Equation and Their Linear Iteration Algorithm

  Xiaohan Zhu, Yuezheng Gong, Yushun Wang

  2025-09-05

  3745 360 Pages:1210-1236

• An Unconditionally Energy-Stable and Orthonormality-Preserving Scheme for the Kohn-Sham Gradient Flow Based Model Based on a Tetrahedral Spectral Element Method

  Hongfei Zhan, Ting Wang, Guanghui Hu

  2025-04-27

  9427 588 Pages:921-941

• Energy-Stable Parametric Finite Element Methods for the Generalized Willmore Flow with Axisymmetric Geometry: Closed Surfaces

  Meng Li, Yifei Li

  2025-08-08

  4608 497 Pages:575-602

• Fully Decoupled, Linear and Unconditionally Energy Stable Schemes for the Binary Fluid-Surfactant Model

  Yuzhe Qin, Zhen Xu, Hui Zhang, Zhengru Zhang

  2020-08-27

  50339 3350 Pages:1389-1414

• A Positivity-Preserving Second-Order BDF Scheme for the Cahn-Hilliard Equation with Variable Interfacial Parameters

  Lixiu Dong, Cheng Wang, Hui Zhang, Zhengru Zhang

  2020-07-21

  49445 3275 Pages:967-998

• A Time Variable Filter Approach for the Fluid-Fluid Interaction

  Wei Li, Pengzhan Huang, Yinnian He

  2025-05-29

  9078 557 Pages:1417-1451

• A Stable Arbitrarily High Order Time-Stepping Method for Thermal Phase Change Problems

  Weiwen Wang, Chuanju Xu

  2023-03-13

  40521 3355 Pages:477-510

• An Energy Absorbing Far-Field Boundary Condition for the Elastic Wave Equation

  N. Anders Petersson, Bjorn Sjogreen

  2009-06-01

  39384 3771 Pages:483-508

• Parallel Algorithms and Software for Nuclear, Energy, and Environmental Applications Part I: Multiphysics Algorithms

  Derek Gaston, Luanjing Guo, Glen Hansen, Hai Huang, Richard Johnson, Dana Knoll, Chris Newman, Hyeong Kae Park, Robert Podgorney, Michael Tonks, Richard Williamson

  2012-12-01

  40633 3931 Pages:807-833

• Theoretical Study on Structural Stability of Alloy Cages: A Case of Silicon-Doped Heterofullerenes

  Xiaofeng Fan, Zexuan Zhu, Lei Liu, Zexiang Shen, Jer-Lai Kuo

  2010-08-01

  39088 4058 Pages:289-303

• A Novel Second-Order Scheme for the Molecular Beam Epitaxy Model with Slope Selection

  Lizhen Chen, Jia Zhao, Yuezheng Gong

  2018-12-08

  49134 3717 Pages:1024-1044

• Efficient and Stable Schemes for the Magnetohydrodynamic Potential Model

  Guo-Dong Zhang, Xiaofeng Yang

  2021-07-01

  48536 3329 Pages:771-798