Fetching the paper…
Reading the bibliography…
XMDS2 is a cross-platform, GPL-licensed, open source package for numerically integrating initial value problems that range from a single ordinary differential equation up to systems of coupled stochastic partial differential equations.
M. Abramowitz, I. A. Stegun (Eds.), Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 10th Edition, Dover Publications, 1972
1972
Earlier work this paper cites.
A. H. Stroud, Numerical quadrature and solution of ordinary differential equations, Springer-Verlag, 1974
1974
Earlier work this paper cites.
J. R. Cash, A. H. Karp, A variable order runge-kutta method for initial value problems with rapidly varying right-hand sides, ACM Trans. Math. Softw. 16 (3) (1990) 201–222
1990
Earlier work this paper cites.
P. E. Kloeden, E. Platen, Numerical Solution of Stochastic Differential Equations, Springer, 1992
1992
Earlier work this paper cites.
L. DeRose, K. Gallivan, E. Gallopoulos, B. Marsolf, D. Padua, An environment for the rapid prototyping and development of numerical programs and libraries for scientific computation, in: Proc. DAGS’94 Symposium on Parallel Computing and Problem Solving Environments, 1994, pp. 11–25
1994
Earlier work this paper cites.
R. J. Ballagh, Partial differential equation algorithm: Conceptual, unpublished personal papers (1995)
1995
Earlier work this paper cites.
M. J. Werner, P. D. Drummond, Robust algorithms for solving stochastic partial differential equations, J. Comput. Phys. 132 (2) (1997) 312–326
1997
Earlier work this paper cites.
J. P. Boyd, Chebyshev and Fourier Spectral Methods, 2nd Edition, Dover, 2000
2000
Earlier work this paper cites.
B. M. Caradoc-Davies, Vortex Dynamics in Bose-Einstein Condensates, Phd thesis, University of Otago (July 2000)
2000
Cited alongside, same era.
G. Collecutt, P. D. Drummond, xmds: extensible multi-dimensional simulator, Computer Physics Communications 142 (1-3) (2001) 219–223
2001
Cited alongside, same era.
C. Tsitouras, Optimized explicit runge–kutta pair of orders 9(8), Applied Numerical Mathematics 38 (1–2) (2001) 123 – 134
2001
Cited alongside, same era.
C. W. Gardiner, Handbook of Stochastic Methods, 3rd Edition, Springer Series in Synergetics, Springer, Berlin, 2004
2004
Cited alongside, same era.
M. Frigo, S. G. Johnson, The design and implementation of FFTW3, Proceedings of the IEEE 93 (2) (2005) 216–231
2005
Cited alongside, same era.
T. Reichenbach, M. Mobilia, E. Frey, Noise and Correlations in a Spatial Population Model with Cyclic Competition, Phys. Rev. Lett 99 (2007) 238105
2007
Later among the works it cites.
T. Reichenbach, M. Mobilia, E. Frey, Mobility promotes and jeopardizes biodiversity in rock-paper-scissors games, Nature 448 (2007) 06095
2007
Later among the works it cites.
G. Hétet, A. Peng, M. T. Johnsson, J. J. Hope, P. K. Lam, Characterization of electromagnetically-induced-transparency-based continuous-variable quantum memories, Phys. Rev. A 77 (2008) 012323
2008
Later among the works it cites.
T. Reichenbach, E. Frey, Instability of Spatial Patterns and Its Ambiguous Impact on Species Diversity, Phys. Rev. Lett 101 (2008) 058102
2008
Later among the works it cites.
M. Saito, M. Matsumoto, SIMD-Oriented Fast Mersenne Twister: a 128-bit Pseudorandom Number Generator, in: A. Keller, S. Heinrich, H. Niederreiter (Eds.), Monte Carlo and Quasi-Monte Carlo Methods 2006, Springer Berlin Heidelberg, 2008, pp. 607–622
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
M. T. L. Hsu, G. Hétet, A. Peng, C. C. Harb, H. A. Bachor, M. T. Johnsson, J. J. Hope, P. K. Lam, A. Dantan, J. Cviklinski, A. Bramati, M. Pinard, Effect of atomic noise on optical squeezing via polarization self-rotation in a thermal vapor cell, Phys. Rev. A 73 (2006) 023806
2006
Cited alongside, same era.
S. Ronen, D. C. E. Bortolotti, J. L. Bohn, Bogoliubov modes of a dipolar condensate in a cylindrical trap, Phys. Rev. A 74 (1) (2006) 013623
2006
Cited alongside, same era.
R. G. Dall, L. J. Byron, A. G. Truscott, G. R. Dennis, M. Jeppesen, M. T. Johnsson, J. J. Hope, Observation of interference fringes on an atom laser beam, Optics Express 15 (26) (2007) 17673
2007
Cited alongside, same era.
J. J. Hope, G. R. Dennis, M. T. Johnsson, XMDS website and documentation,
Cited in the paper.
R. Marsa, The RNPL User’s guide and Reference are available online at
Cited in the paper.
2008
Later among the works it cites.
R. G. Dall, L. J. Byron, A. G. Truscott, G. R. Dennis, M. T. Johnsson, J. J. Hope, Paired-atom laser beams created via four-wave mixing, Phys. Rev. A 79 (2009) 011601(R)
2009
Later among the works it cites.
S. S. Szigeti, M. R. Hush, J. J. Carvalho, A. R. R. Hope, Feedback control of an interacting bose-einstein condensate using phase-contrast imaging, Phys. Rev. A 82 (2010) 043632
2010
Later among the works it cites.
L. Li, Z. Jin, Pattern dynamics of a spatial predator-prey model with noise, Nonlinear dynamics 67 (3) (2012) 1737
2012
Closest in time.