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

  46211 4304 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

  48814 3527 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

  49349 3127 Pages:1224-1248

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

  Zhengru Zhang & Zhonghua Qiao

  2020-07-31

  41629 4270 Pages:1261-1278

• 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

  26317 2185 Pages:369-394

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

  Lizhen Chen, Zengyan Zhang, Jia Zhao

  2021-10-26

  46570 3294 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

  67668 5387 Pages:123-151

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

  Xiaoling Liu & Chuanju Xu

  2018-04-09

  41834 3370 Pages:1408-1428

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

  Craig Collins, Jie Shen & Steven M. Wise

  2013-08-05

  43930 4239 Pages:929-957

• 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

  201 53 Pages:921-941

• 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

  50113 3275 Pages:1389-1414

• 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

  49944 3455 Pages:703-728

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

  Lizhen Chen, Jia Zhao & Yuezheng Gong

  2018-12-08

  48949 3633 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

  44485 3425 Pages:448-460

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

  Junkai Wang, Qiaolin He

  2024-10-29

  145 50 Pages:1053-1089

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

  Weiwen Wang, Chuanju Xu

  2023-03-13

  40289 3292 Pages:477-510

• Efficient and Stable Schemes for the Magnetohydrodynamic Potential Model

  Guo-Dong Zhang, Xiaofeng Yang

  2021-07-01

  48341 3264 Pages:771-798

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

  Ruihan Guo & Yan Xu

  2019-02-25

  50135 5247 Pages:87-113

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

  Yaoyao Chen, Yunqing Huang, Nianyu Yi

  2021-02-25

  47818 3389 Pages:1186-1212

• New Unconditionally Stable Schemes for the Navier-Stokes Equations

  Hui Yao, Mejdi Azaiez, Chuanju Xu

  2021-08-10

  48952 3088 Pages:1083-1117

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

  W. Bao & C. Zheng

  2007-02-01

  38208 4395 Pages:123-140

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

  Jie Shen & Jie Xu

  2018-09-17

  48019 4743 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

  46602 3271 Pages:623-634

• A Fast Finite Difference Method for Tempered Fractional Diffusion Equations

  Xu Guo, Yutian Li & Hong Wang

  2018-09-17

  46956 3303 Pages:531-556

• Exponential Time Differencing Gauge Method for Incompressible Viscous Flows

  Lili Ju & Zhu Wang

  2018-04-09

  41937 3257 Pages:517-541

• Pressure-Correction Projection FEM for Time-Dependent Natural Convection Problem

  Jilian Wu, Xinlong Feng & Fei Liu

  2018-04-09

  43391 3163 Pages:1090-1117

• The Gaussian Wave Packet Transform for the Semi-Classical Schrödinger Equation with Vector Potentials

  Zhennan Zhou & Giovanni Russo

  2019-04-04

  47304 5408 Pages:469-505 Open-access