AEDU swMATH ID: 18628 Software Authors: Muruganandam, Paulsamy; Adhikari, Sadhan K. Description: Fortran programs for the time-dependent Gross-Pitaevskii equation in a fully anisotropic trap. Here we develop simple numerical algorithms for both stationary and non-stationary solutions of the time-dependent Gross-Pitaevskii (GP) equation describing the properties of Bose-Einstein condensates at ultra low temperatures. In particular, we consider algorithms involving real- and imaginary-time propagation based on a split-step Crank-Nicolson method. In a one-space-variable form of the GP equation we consider the one-dimensional, two-dimensional circularly-symmetric, and the three-dimensional spherically-symmetric harmonic-oscillator traps. In the two-space-variable form we consider the GP equation in two-dimensional anisotropic and three-dimensional axially-symmetric traps. The fully-anisotropic three-dimensional GP equation is also considered. Numerical results for the chemical potential and root-mean-square size of stationary states are reported using imaginary-time propagation programs for all the cases and compared with previously obtained results. Also presented are numerical results of non-stationary oscillation for different trap symmetries using real-time propagation programs. A set of convenient working codes developed in Fortran 77 are also provided for all these cases (twelve programs in all). In the case of two or three space variables, Fortran 90/95 versions provide some simplification over the Fortran 77 programs, and these programs are also included (six programs in all). Homepage: http://cpc.cs.qub.ac.uk/summaries/AEDU_v1_0.html Related Software: Gross-Pitaevskii; GP-SCL; imagetime1d; BEC-GP-OMP-FOR; OCTBEC; CUDA; Matlab; GPELab; GSGPEs; PyUltraLight; QMBlender; BPM; real3d-cuda; real2dXZ-cuda; real2dXY-cuda; imag3d-cuda; imag2dXZ-cuda; imag2dXY-cuda; DBEC-GP-CUDA; realtime3d-hyb Cited in: 21 Publications all top 5 Cited by 48 Authors 6 Adhikari, Sadhan K. 6 Muruganandam, Paulsamy 4 Balaž, Antun 4 Vudragović, Dušan 3 Young-S., Luis E. 2 Antoine, Xavier 2 Duboscq, Romain 1 Alouini, Brahim 1 Bao, Weizhu 1 Basu, Saurabh 1 Bhuvaneswari, S. 1 Brewczyk, M. 1 Byrnes, Tim 1 Cai, Jiaxiang 1 Dai, Weizhong 1 Debnath, Argha 1 Gajda, Mariusz 1 Gawryluk, K. 1 Göklü, Ertan 1 Hu, Guanghui 1 Huynh, Toan T. 1 Karpiuk, T. 1 Khan, Ayan 1 Kishor Kumar, R. 1 Kuang, Yang 1 Lämmerzahl, Claus 1 Liang, Hua 1 Liao, Feng 1 Lončar, Vladimir 1 Luo, Ji 1 Ma, Baoling 1 Malomed, Boris A. 1 Marojević, Želimir 1 Michinel, Humberto 1 Moxley, Frederick Ira III. 1 Nascimento, V. A. 1 Nguyen, Quan M. 1 Olivieri, David N. 1 Paredes, Ángel 1 Radha, Ramaswamy 1 Ravisankar, R. 1 Rzążewski, Kazimierz 1 Tang, Qinglin 1 Vidanović, Ivana 1 Vinayagam, P. S. 1 Xu, Zhiguo 1 Yan, Yun 1 Zhang, Luming all top 5 Cited in 10 Serials 7 Computer Physics Communications 3 International Journal of Computer Mathematics 2 Journal of Computational Physics 2 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Mathematical Analysis and Applications 1 Physics Letters. A 1 Mathematics and Computers in Simulation 1 Physica D 1 Applied Mathematical Modelling 1 SIAM Journal on Scientific Computing all top 5 Cited in 10 Fields 17 Partial differential equations (35-XX) 9 Numerical analysis (65-XX) 9 Statistical mechanics, structure of matter (82-XX) 6 Quantum theory (81-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Optics, electromagnetic theory (78-XX) 1 History and biography (01-XX) 1 Operator theory (47-XX) 1 Fluid mechanics (76-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year