Convergence of a split-step Hermite method for the Gross–Pitaevskii equation
暂无分享,去创建一个
[1] E. Hairer,et al. Geometric Numerical Integration: Structure Preserving Algorithms for Ordinary Differential Equations , 2004 .
[2] Jie Shen,et al. A generalized-Laguerre-Hermite pseudospectral method for computing symmetric and central vortex states in Bose-Einstein condensates , 2008, J. Comput. Phys..
[3] Alexander Ostermann,et al. Exponential splitting for unbounded operators , 2009, Math. Comput..
[4] F. Dalfovo,et al. Theory of Bose-Einstein condensation in trapped gases , 1998, cond-mat/9806038.
[5] P. Markowich,et al. Numerical solution of the Gross--Pitaevskii equation for Bose--Einstein condensation , 2003, cond-mat/0303239.
[6] Milton Abramowitz,et al. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables , 1964 .
[7] Erwan Faou,et al. Gauss–Hermite wave packet dynamics: convergence of the spectral and pseudo-spectral approximation , 2009 .
[8] C. Lubich,et al. Error Bounds for Exponential Operator Splittings , 2000 .
[9] C. Lubich. From Quantum to Classical Molecular Dynamics: Reduced Models and Numerical Analysis , 2008 .
[10] Mechthild Thalhammer,et al. High-Order Exponential Operator Splitting Methods for Time-Dependent Schrödinger Equations , 2008, SIAM J. Numer. Anal..
[11] E. Gross. Structure of a quantized vortex in boson systems , 1961 .
[12] Othmar Koch,et al. Variational-splitting time integration of the multi-configuration time-dependent Hartree–Fock equations in electron dynamics , 2011 .
[13] Jie Shen,et al. Spectral and Pseudospectral Approximations Using Hermite Functions: Application to the Dirac Equation , 2003, Adv. Comput. Math..
[14] Mechthild Thalhammer,et al. High-order time-splitting Hermite and Fourier spectral methods , 2009, J. Comput. Phys..
[15] Jie Shen,et al. A Fourth-Order Time-Splitting Laguerre-Hermite Pseudospectral Method for Bose-Einstein Condensates , 2005, SIAM J. Sci. Comput..