Search Results

• A Kernel Based Unconditionally Stable Scheme for Nonlinear Parabolic Partial Differential Equations

  Kaipeng Wang, Andrew Christlieb, Yan Jiang, Mengping Zhang

  2020-11-26

  46441 4462 Pages:237-264

• An Efficient and Unconditionally Energy Stable Scheme for Simulating Solid-State Dewetting of Thin Films with Isotropic Surface Energy

  Qiong-Ao Huang, Wei Jiang, Jerry Zhijian Yang

  2019-08-27

  49018 3582 Pages:1444-1470

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

  Ruihan Guo, Yan Xu

  2019-07-02

  49552 3190 Pages:1224-1248

• An Adaptive Time-Stepping Strategy for the Cahn-Hilliard Equation

  Zhengru Zhang, Zhonghua Qiao

  2020-07-31

  41798 4351 Pages:1261-1278

• Numerical Approximations of Phase Field Models Using a General Class of Linear Time-Integration Schemes

  Lizhen Chen, Zengyan Zhang, Jia Zhao

  2021-10-26

  46763 3341 Pages:1290-1322

• 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

  67893 5545 Pages:123-151

• 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

  26527 2288 Pages:369-394

• Efficient Time-Stepping/Spectral Methods for the Navier-Stokes-Nernst-Planck-Poisson Equations

  Xiaoling Liu, Chuanju Xu

  2018-04-09

  41988 3413 Pages:1408-1428

• An Efficient, Energy Stable Scheme for the Cahn-Hilliard-Brinkman System

  Craig Collins, Jie Shen, Steven M. Wise

  2013-08-05

  44113 4294 Pages:929-957

• A Highly Efficient CN-Like Scheme for the Transient Wigner Equation

  Yidan Wang, Haiyan Jiang, Tiao Lu, Wenqi Yao

  2026-01-03

  1895 99 Pages:775-798

• 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

  9419 585 Pages:921-941

• 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

  50246 3546 Pages:703-728

• 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

  50330 3348 Pages:1389-1414

• Semi-Implicit Spectral Deferred Correction Method Based on the Invariant Energy Quadratization Approach for Phase Field Problems

  Ruihan Guo, Yan Xu

  2019-02-25

  50362 5366 Pages:87-113

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

  Lizhen Chen, Jia Zhao, Yuezheng Gong

  2018-12-08

  49133 3712 Pages:1024-1044

• Effective Time Step Analysis of a Nonlinear Convex Splitting Scheme for the Cahn–Hilliard Equation

  Seunggyu Lee, Junseok Kim

  2018-10-11

  44658 3482 Pages:448-460

• 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

  17 7 Pages:199-238

• Modelling of Compressible Multi-Component Two-Phase Flow with Multi-Component Navier Boundary Condition

  Junkai Wang, Qiaolin He

  2024-10-29

  17620 1217 Pages:1053-1089

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

  Weiwen Wang, Chuanju Xu

  2023-03-13

  40516 3353 Pages:477-510

• Efficient and Stable Schemes for the Magnetohydrodynamic Potential Model

  Guo-Dong Zhang, Xiaofeng Yang

  2021-07-01

  48530 3327 Pages:771-798

• A Decoupled Energy Stable Adaptive Finite Element Method for Cahn–Hilliard–Navier–Stokes Equations

  Yaoyao Chen, Yunqing Huang, Nianyu Yi

  2021-02-25

  48016 3478 Pages:1186-1212

• New Unconditionally Stable Schemes for the Navier-Stokes Equations

  Hui Yao, Mejdi Azaiez, Chuanju Xu

  2021-08-10

  49155 3149 Pages:1083-1117

• A Time-Splitting Spectral Method for Three-Wave Interactions in Media with Competing Quadratic and Cubic Nonlinearities

  Weizhu Bao, Chunxiong Zheng

  2007-02-01

  38354 4516 Pages:123-140

• Stabilized Predictor-Corrector Schemes for Gradient Flows with Strong Anisotropic Free Energy

  Jie Shen, Jie Xu

  2018-09-17

  48236 4844 Pages:635-654 Open-access

• Nonstandard Fourier Pseudospectral Time Domain (PSTD) Schemes for Partial Differential Equations

  Bradley E. Treeby, Elliott S. Wise, B. T. Cox

  2018-09-17

  46846 3341 Pages:623-634

• A Fast Finite Difference Method for Tempered Fractional Diffusion Equations

  Xu Guo, Yutian Li, Hong Wang

  2018-09-17

  47133 3345 Pages:531-556

• Exponential Time Differencing Gauge Method for Incompressible Viscous Flows

  Lili Ju, Zhu Wang

  2018-04-09

  42077 3310 Pages:517-541