A Third Order Exponential Time Differencing Numerical Scheme for No-Slope-Selection Epitaxial Thin Film Model with Energy Stability
出版年份 2019 全文链接
标题
A Third Order Exponential Time Differencing Numerical Scheme for No-Slope-Selection Epitaxial Thin Film Model with Energy Stability
作者
关键词
Epitaxial thin film growth, Slope selection, Exponential time differencing, Energy stability, Optimal rate convergence analysis, Aliasing error, 35K30, 35K55, 65L06, 65M12, 65M70, 65T40
出版物
JOURNAL OF SCIENTIFIC COMPUTING
Volume -, Issue -, Pages -
出版商
Springer Science and Business Media LLC
发表日期
2019-07-12
DOI
10.1007/s10915-019-01008-y
参考文献
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注意:仅列出部分参考文献,下载原文获取全部文献信息。- A Second Order BDF Numerical Scheme with Variable Steps for the Cahn--Hilliard Equation
- (2019) Wenbin Chen et al. SIAM JOURNAL ON NUMERICAL ANALYSIS
- High Accuracy Benchmark Problems for Allen-Cahn and Cahn-Hilliard Dynamics
- (2019) Jon Matteo Church Communications in Computational Physics
- An energy stable fourth order finite difference scheme for the Cahn–Hilliard equation
- (2018) Kelong Cheng et al. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
- A Second Order Energy Stable Linear Scheme for a Thin Film Model Without Slope Selection
- (2018) Weijia Li et al. JOURNAL OF SCIENTIFIC COMPUTING
- Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method
- (2017) Xiaofeng Yang et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Unconditional Energy Stability Analysis of a Second Order Implicit–Explicit Local Discontinuous Galerkin Method for the Cahn–Hilliard Equation
- (2017) Huailing Song et al. JOURNAL OF SCIENTIFIC COMPUTING
- Energy stability and error estimates of exponential time differencing schemes for the epitaxial growth model without slope selection
- (2017) Lili Ju et al. MATHEMATICS OF COMPUTATION
- Efficient and stable exponential time differencing Runge–Kutta methods for phase field elastic bending energy models
- (2016) Xiaoqiang Wang et al. JOURNAL OF COMPUTATIONAL PHYSICS
- On Second Order Semi-implicit Fourier Spectral Methods for 2D Cahn–Hilliard Equations
- (2016) Dong Li et al. JOURNAL OF SCIENTIFIC COMPUTING
- Characterizing the Stabilization Size for Semi-Implicit Fourier-Spectral Method to Phase Field Equations
- (2016) Dong Li et al. SIAM JOURNAL ON NUMERICAL ANALYSIS
- Fast and accurate algorithms for simulating coarsening dynamics of Cahn–Hilliard equations
- (2015) Lili Ju et al. COMPUTATIONAL MATERIALS SCIENCE
- Fast High-Order Compact Exponential Time Differencing Runge–Kutta Methods for Second-Order Semilinear Parabolic Equations
- (2015) Liyong Zhu et al. JOURNAL OF SCIENTIFIC COMPUTING
- Compact implicit integration factor methods for a family of semilinear fourth-order parabolic equations
- (2014) Lili Ju et al. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
- Fast Explicit Integration Factor Methods for Semilinear Parabolic Equations
- (2014) Lili Ju et al. JOURNAL OF SCIENTIFIC COMPUTING
- Stability and convergence of second-order schemes for the nonlinear epitaxial growth model without slope selection
- (2014) Zhonghua Qiao et al. MATHEMATICS OF COMPUTATION
- An Implicit Midpoint Spectral Approximation of Nonlocal Cahn--Hilliard Equations
- (2014) Barbora Benešová et al. SIAM JOURNAL ON NUMERICAL ANALYSIS
- A Linear Iteration Algorithm for a Second-Order Energy Stable Scheme for a Thin Film Model Without Slope Selection
- (2013) Wenbin Chen et al. JOURNAL OF SCIENTIFIC COMPUTING
- Stability and Convergence Analysis of Fully Discrete Fourier Collocation Spectral Method for 3-D Viscous Burgers’ Equation
- (2012) Sigal Gottlieb et al. JOURNAL OF SCIENTIFIC COMPUTING
- A mixed finite element method for thin film epitaxy
- (2012) Wenbin Chen et al. NUMERISCHE MATHEMATIK
- Long Time Stability of a Classical Efficient Scheme for Two-dimensional Navier–Stokes Equations
- (2012) S. Gottlieb et al. SIAM JOURNAL ON NUMERICAL ANALYSIS
- Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich–Schwoebel Type Energy: Application to Thin Film Epitaxy
- (2012) Jie Shen et al. SIAM JOURNAL ON NUMERICAL ANALYSIS
- Exponential multistep methods of Adams-type
- (2011) Marlis Hochbruck et al. BIT NUMERICAL MATHEMATICS
- A Linear Energy Stable Scheme for a Thin Film Model Without Slope Selection
- (2011) Wenbin Chen et al. JOURNAL OF SCIENTIFIC COMPUTING
- The stability and convergence of two linearized finite difference schemes for the nonlinear epitaxial growth model
- (2011) Zhonghua Qiao et al. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
- An Adaptive Time-Stepping Strategy for the Molecular Beam Epitaxy Models
- (2011) Zhonghua Qiao et al. SIAM JOURNAL ON SCIENTIFIC COMPUTING
- Unconditionally stable schemes for equations of thin film epitaxy
- (2010) Steven Wise et al. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
- Exponential integrators
- (2010) Marlis Hochbruck et al. ACTA NUMERICA
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