Error estimates of a trigonometric integrator sine pseudo-spectral method for the extended Fisher–Kolmogorov equation
暂无分享,去创建一个
[1] Zhiguo Xu,et al. Error estimates in the energy space for a Gautschi-type integrator spectral discretization for the coupled nonlinear Klein-Gordon equations , 2016, J. Comput. Appl. Math..
[2] W. Gautschi. Numerical integration of ordinary differential equations based on trigonometric polynomials , 1961 .
[3] Xiaofei Zhao. AN EXPONENTIAL WAVE INTEGRATOR PSEUDOSPECTRAL METHOD FOR THE SYMMETRIC REGULARIZED-LONG-WAVE EQUATION * , 2016 .
[4] Weizhu Bao,et al. Analysis and comparison of numerical methods for the Klein–Gordon equation in the nonrelativistic limit regime , 2011, Numerische Mathematik.
[5] Xingde Ye,et al. The Fourier collocation method for the Cahn-Hilliard equation☆ , 2002 .
[6] Guozhen Zhu,et al. Experiments on Director Waves in Nematic Liquid Crystals , 1982 .
[7] Jie Shen,et al. Spectral Methods: Algorithms, Analysis and Applications , 2011 .
[8] Khaled Omrani,et al. Finite difference discretization of the extended Fisher-Kolmogorov equation in two dimensions , 2011, Comput. Math. Appl..
[9] G. Adomian. Fisher-Kolmogorov equation , 1995 .
[10] A. K. Pani,et al. Numerical methods for the extended Fisher-Kolmogorov (EFK) equation , 2006 .
[11] Weizhu Bao,et al. An Exponential Wave Integrator Sine Pseudospectral Method for the Klein-Gordon-Zakharov System , 2013, SIAM J. Sci. Comput..
[12] Khaled Omrani,et al. A second-order accurate difference scheme for an extended Fisher-Kolmogorov equation , 2011, Comput. Math. Appl..
[13] Jan S. Hesthaven,et al. Spectral Methods for Time-Dependent Problems: Contents , 2007 .
[14] Xuanchun Dong,et al. Stability and convergence of trigonometric integrator pseudospectral discretization for N-coupled nonlinear Klein-Gordon equations , 2014, Appl. Math. Comput..
[15] Yibao Li,et al. A compact fourth-order finite difference scheme for the three-dimensional Cahn-Hilliard equation , 2016, Comput. Phys. Commun..
[16] Bo Liu,et al. Fourier pseudo-spectral method for the extended Fisher-Kolmogorov equation in two dimensions , 2017 .
[17] Jie Shen,et al. Efficient energy stable schemes with spectral discretization in space for anisotropic , 2013 .
[18] A. K. Pani,et al. Orthogonal cubic spline collocation method for the extended Fisher-Kolmogorov equation , 2005 .
[19] M. Hochbruck,et al. Exponential integrators , 2010, Acta Numerica.
[20] Dee Gt,et al. Bistable systems with propagating fronts leading to pattern formation. , 1988 .
[21] Dong Li,et al. On Second Order Semi-implicit Fourier Spectral Methods for 2D Cahn–Hilliard Equations , 2017, J. Sci. Comput..
[22] D. Gottlieb,et al. Numerical analysis of spectral methods : theory and applications , 1977 .
[23] Thirupathi Gudi,et al. A fully discrete C0 interior penalty Galerkin approximation of the extended Fisher-Kolmogorov equation , 2013, J. Comput. Appl. Math..
[24] Dongdong He,et al. On the L∞-norm convergence of a three-level linearly implicit finite difference method for the extended Fisher-Kolmogorov equation in both 1D and 2D , 2016, Comput. Math. Appl..
[25] Xiaofei Zhao. On error estimates of an exponential wave integrator sine pseudospectral method for the Klein–Gordon–Zakharov system , 2016 .
[26] Xuanchun Dong,et al. A trigonometric integrator pseudospectral discretization for the N-coupled nonlinear Klein–Gordon equations , 2012, Numerical Algorithms.
[27] Yunxian Liu,et al. A class of stable spectral methods for the Cahn-Hilliard equation , 2009, J. Comput. Phys..
[28] Yinnian He,et al. On large time-stepping methods for the Cahn--Hilliard equation , 2007 .
[29] D. Aronson,et al. Multidimensional nonlinear di u-sion arising in population genetics , 1978 .
[30] Zhi-zhong Sun,et al. A second-order accurate linearized difference scheme for the two-dimensional Cahn-Hilliard equation , 1995 .
[31] G. Ahlers,et al. Vortex-Front Propagation in Rotating Couette-Taylor Flow , 1983 .
[32] Feng Liao,et al. Conservative compact finite difference scheme for the coupled Schrödinger–Boussinesq equation , 2016 .
[33] P. Coullet,et al. Nature of spatial chaos. , 1987, Physical review letters.
[34] Zhonghua Qiao,et al. Characterizing the Stabilization Size for Semi-Implicit Fourier-Spectral Method to Phase Field Equations , 2014, SIAM J. Numer. Anal..