NLSEmagic: Nonlinear Schrödinger equation multi-dimensional Matlab-based GPU-accelerated integrators using compact high-order schemes

Computer Physics Communications

Volumn 184, Issue 4, 2013, Pages 1250-1271

  Caplan, R M ^a  

^a SAN DIEGO STATE UNIVERSITY   (United States)

Author keywords

Bose Einstein condensates; Explicit finite difference schemes; GPGPU; GPU; Nonlinear Schr dinger equation

Indexed keywords

BOSE-EINSTEIN CONDENSATES; DINGER EQUATION; FINITE DIFFERENCE SCHEME; GPGPU; GPU;

BOSE-EINSTEIN CONDENSATION; PARALLEL ARCHITECTURES; PROGRAM PROCESSORS;

NONLINEAR EQUATIONS;

EID: 84873107900     PISSN: 00104655     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cpc.2012.12.010     Document Type: Article

References (40)

1. P. Kevrekidis, D. Frantzeskakis, and R. Carretero-González Emergent Nonlinear Phenomena in Bose-Einstein Condensates: Theory and Experiment Springer Series on Atomic, Optical, and Plasma Physics vol. 45 2008
2. R.M. Caplan, Q.E. Hoq, R. Carretero-González, and P.G. Kevrekidis Opt. Commun. 282 2009 1399
3. L. Debnath Nonlinear Partial Differential Equations for Scientists and Engineers 2005 Birkhauser second ed.
4. S. Krakiwsky, L. Turner, M. Okoniewski, Graphics processor unit GPU acceleration of finite-difference time-domain (FDTD) algorithm, in: Proceedings of the 2004 International Symposium on Circuits and Systems, vol. 5, 2004, pp. 265-268.
5. S. Adams, J. Payne, R. Boppana, HPCMP User Group Conf., 2007, p. 334.
6. A. Balevic, et al. Accelerating simulations of light scattering based on finite-difference time-domain method with general purpose GPUs, in: Proceedings of Computational Science and Engineering'08, 2008, pp. 327-334.
7. P. Micikevicius, 3D finite difference computation on GPUs using CUDA, in: Proceedings of 2nd Workshop on General Purpose Processing on Graphics Processing Units, 2009, pp 79-84.
8. D. Michéa, and D. Komatitsch Geophys. J. Int. 182 2010 389
9. K.A. Hawick, D.P. Playne, Massey University Tech. Report (2010) CSTN.
10. P. Muruganandam, and S.K. Adhikari Comput. Phys. Commun. 180 2009 1888
11. D. Vudragovic, I. Vidanovic, A. Balaz, P. Muruganandam, and S.K. Adhikari Comput. Phys. Commun. 183 2012 2021
12. Mathworks, http://www.mathworks.com/discovery/matlab-gpu.html, 2011.
13. NVIDIA, http://developer.download.nvidia.com, 2007.
14. R.M. Caplan, R. Carretero-González, Appl. Math Comput. (2012) arXiv:1109.1027 (submitted for publication).
15. NVIDIA, http://developer.nvidia.com/nvidia-gpu-computing-documentation, 2011.
16. J.E. Stone, D. Gohara, and G. Shi Comput. Sci. Engi. 12 2010 66
17. K. Komatsu, et al. The Fifth International Workshop on Automatic Performance Tuning, iWAPT2010, 2010.
18. J. Fang, A.L. Varbanescu, H. Sips, A comprehensive performance comparison of CUDA and OpenCL, in: Proceedings of Parallel Processing'11, 2011, pp. 216-225.
19. K. Karimi, N.G. Dickson, F. Hamze, ArXiv e-prints, arXiv:1005.2581, 2010.
20. G. Martinez, W. Feng, M. Gardner, CU2CL: A CUDA-to-OpenCL translator for multi- and many-core architectures, Technical report, Virginia Tech, 2011.
21. T.P. Group, PGInsider 2 (2010) a1.
22. J. Stratton, S. Stone, and W. Hwu MCUDA: An Efficient Implementation of CUDA Kernels for Multi-core CPUs Lecture Notes in Computer Science vol. 5335 2008 Springer Berlin, Heidelberg
23. J.S. Vetter Comput. Sci. Engi. 13 2011 90
24. J. Castillo, J. Hymanb, M. Shashkov, and S. Steinberg Appl. Numer. Math. 37 2001 171187
25. J. Butcher Appl. Numer. Math. 20 1996 247
26. W. Dai SIAM J. Numer. Anal. 29 1992 174
27. R.M. Caplan, R. Carretero-González, App. Num. Math. (2012) arXiv:1107.4810 (submitted for publication).
28. R.M. Caplan, R. Carretero-González, Appl. Math Comput. (2012) arXiv:1110.0569 (submitted for publication).
29. Y.S. Kivshar, and B. Luther-Davies Phys. Rep. 298 1998 81
30. R. Carretero-González, D. F -z -k -k, and P. Kevrekidis Nonlinearity 21 2008 R139
31. R.M. Caplan, Study of Vortex Ring Dynamics in the Nonlinear Schrödinger Equation utilizing GPU-Accelerated High-Order Compact Numerical Integrators, Ph.D. Thesis, Claremont Graduate University and San Diego State University, 2012.
32. P.H. Roberts, and J. Grant J. Phys. A: Gen. Phys. 4 1971 55
33. T. Davis MATLAB Primer eighth ed. 2010 CRC Press
34. B. Jang, D. Schaa, P. Mistry, and D. Kaeli IEEE Trans. Parallel Distrib. Syst. 22 2011 105
35. D.E. Post, and L.G. Votta Phys. Today 58 2005 35
36. D.L. Donoho, A. Maleki, I.U. Rahman, M. Shahram, and V. Stodden Comput. Sci. Eng. 11 2009 8
37. K. Diethelm Comput. Sci. Eng. 14 2012 64
38. O. Woodford, J. Conti, http://www.mathworks.com/matlabcentral/ fileexchange/22940-vol3d-v2, 2011.
39. C.T. Kelley Solving Nonlinear Equations with Newton's Method Fundamentals of Algorithms 2003 SIAM
40. F. Moisy, http://www.fast.u-psud.fr/ezyfit/, 2010.