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

  DOI:10.4208/cicp.OA-2019-0197

  46446 4465 pp. 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

  DOI:10.4208/cicp.2019.js60.07

  49024 3585 pp. 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

  DOI:10.4208/cicp.OA-2018-0100

  49556 3195 pp. 1224-1248

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

  Zhengru Zhang, Zhonghua Qiao

  2020-07-31

  DOI:10.4208/cicp.300810.140411s

  41801 4353 pp. 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

  DOI:10.4208/cicp.OA-2020-0244

  46767 3345 pp. 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

  DOI:10.4208/cicp.OA-2017-0074

  67902 5550 pp. 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

  DOI:10.4208/cicp.OA-2023-0191

  26533 2290 pp. 369-394

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

  Xiaoling Liu, Chuanju Xu

  2018-04-09

  DOI:10.4208/cicp.191015.260816a

  41990 3414 pp. 1408-1428

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

  Craig Collins, Jie Shen, Steven M. Wise

  2013-08-05

  DOI:10.4208/cicp.171211.130412a

  44115 4296 pp. 929-957

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

  Yidan Wang, Haiyan Jiang, Tiao Lu, Wenqi Yao

  2026-01-03

  DOI:10.4208/cicp.OA-2024-0105

  1924 104 pp. 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

  DOI:10.4208/cicp.OA-2024-0053

  9430 588 pp. 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

  DOI:10.4208/cicp.OA-2017-0259

  50256 3549 pp. 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

  DOI:10.4208/cicp.OA-2019-0175

  50340 3350 pp. 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

  DOI:10.4208/cicp.OA-2018-0034

  50368 5375 pp. 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

  DOI:10.4208/cicp.OA-2018-0015

  49134 3718 pp. 1024-1044

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

  Seunggyu Lee, Junseok Kim

  2018-10-11

  DOI:10.4208/cicp.OA-2017-0260

  44661 3483 pp. 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

  DOI:10.4208/cicp.OA-2024-0283

  167 41 pp. 199-238

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

  Junkai Wang, Qiaolin He

  2024-10-29

  DOI:10.4208/cicp.OA-2024-0313

  17624 1223 pp. 1053-1089

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

  Weiwen Wang, Chuanju Xu

  2023-03-13

  DOI:10.4208/cicp.OA-2022-0183

  40522 3355 pp. 477-510

• Efficient and Stable Schemes for the Magnetohydrodynamic Potential Model

  Guo-Dong Zhang, Xiaofeng Yang

  2021-07-01

  DOI:10.4208/cicp.OA-2020-0113

  48536 3329 pp. 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

  DOI:10.4208/cicp.OA-2020-0032

  48019 3482 pp. 1186-1212

• New Unconditionally Stable Schemes for the Navier-Stokes Equations

  Hui Yao, Mejdi Azaiez, Chuanju Xu

  2021-08-10

  DOI:10.4208/cicp.OA-2021-0004

  49161 3151 pp. 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

  38356 4521 pp. 123-140

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

  Jie Shen, Jie Xu

  2018-09-17

  DOI:10.4208/cicp.OA-2017-0209

  48242 4846 pp. 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

  DOI:10.4208/cicp.OA-2017-0192

  46850 3342 pp. 623-634

• A Fast Finite Difference Method for Tempered Fractional Diffusion Equations

  Xu Guo, Yutian Li, Hong Wang

  2018-09-17

  DOI:10.4208/cicp.OA-2018-0001

  47146 3347 pp. 531-556

• Exponential Time Differencing Gauge Method for Incompressible Viscous Flows

  Lili Ju, Zhu Wang

  2018-04-09

  DOI:10.4208/cicp.OA-2016-0234

  42084 3313 pp. 517-541