Random number generators for massively parallel simulations on GPU

[1]  Mutsuo Saito,et al.  Variants of Mersenne Twister Suitable for Graphic Processors , 2010, TOMS.

[2]  T. Yavors’kii,et al.  Optimized GPU simulation of continuous-spin glass models , 2012, The European Physical Journal Special Topics.

[3]  Nicolás Wolovick,et al.  q-state Potts model metastability study using optimized GPU-based Monte Carlo algorithms , 2011, Comput. Phys. Commun..

[4]  Martin Weigel,et al.  Performance potential for simulating spin models on GPU , 2010, J. Comput. Phys..

[5]  M. Weigel,et al.  Computer Simulations on Graphics Processing Units , 2012 .

[6]  Scott Lathrop,et al.  Proceedings of 2011 International Conference for High Performance Computing, Networking, Storage and Analysis , 2011, International Conference on High Performance Computing.

[7]  Géza Ódor,et al.  Extremely large scale simulation of a Kardar-Parisi-Zhang model using graphics cards , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[8]  Alistair P. Rendell,et al.  High-Performance Pseudo-Random Number Generation on Graphics Processing Units , 2011, PPAM.

[9]  Enrique San Millán,et al.  Accelerating secure circuit design with hardware implementation of Diehard Battery of tests of randomness , 2011, 2011 IEEE 17th International On-Line Testing Symposium.

[10]  M. Weigel Connected-component identification and cluster update on graphics processing units. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  Martin Weigel,et al.  Simulating spin models on GPU , 2010, Comput. Phys. Commun..

[12]  Vadim Demchik,et al.  Pseudo-random number generators for Monte Carlo simulations on ATI Graphics Processing Units , 2010, Comput. Phys. Commun..

[13]  Michael B. Giles,et al.  Parallelization Techniques for Random Number Generators , 2011 .

[14]  Richard P. Brent,et al.  Some long-period random number generators using shifts and xors , 2007, ArXiv.

[15]  Junqi Yin,et al.  Phase diagram and critical behavior of the square-lattice Ising model with competing nearest-neighbor and next-nearest-neighbor interactions. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[16]  Wolfgang Paul,et al.  GPU accelerated Monte Carlo simulation of the 2D and 3D Ising model , 2009, J. Comput. Phys..

[17]  Alexander K. Hartmann A Practical Guide To Computer Simulation , 2009 .

[18]  Alexander K. Hartmann Practical Guide to Computer Simulations: (With CD-ROM) , 2009 .

[19]  H. Rieger,et al.  Practical Guide to Computer Simulations , 2001, cond-mat/0111531.

[20]  Tomas Svensson,et al.  Parallel computing with graphics processing units for high-speed Monte Carlo simulation of photon migration. , 2008, Journal of biomedical optics.

[21]  Joshua A. Anderson,et al.  General purpose molecular dynamics simulations fully implemented on graphics processing units , 2008, J. Comput. Phys..

[22]  A. Arnold,et al.  Harvesting graphics power for MD simulations , 2007, 0709.3225.

[23]  Denis Navarro,et al.  Simulating spin systems on IANUS, an FPGA-based computer , 2007, Comput. Phys. Commun..

[24]  Håvard Berland,et al.  NORGES TEKNISK-NATURVITENSKAPELIGE UNIVERSITET , 2005 .

[25]  William H. Press,et al.  Numerical recipes: the art of scientific computing, 3rd Edition , 2007 .

[26]  Pierre L'Ecuyer,et al.  On the xorshift random number generators , 2005, TOMC.

[27]  Peter Hellekalek,et al.  Empirical evidence concerning AES , 2003, TOMC.

[28]  George Marsaglia,et al.  Random Number Generators , 2003 .

[29]  Jason Wittenberg,et al.  Clarify: Software for Interpreting and Presenting Statistical Results , 2003 .

[30]  Wade Trappe,et al.  Introduction to Cryptography with Coding Theory , 2002 .

[31]  David Thomas,et al.  The Art in Computer Programming , 2001 .

[32]  Craig B. Borkowf,et al.  Random Number Generation and Monte Carlo Methods , 2000, Technometrics.

[33]  Pierre L'Ecuyer,et al.  Tables of linear congruential generators of different sizes and good lattice structure , 1999, Math. Comput..

[34]  Takuji Nishimura,et al.  Mersenne twister: a 623-dimensionally equidistributed uniform pseudo-random number generator , 1998, TOMC.

[35]  M. Luescher A portable high-quality random number generator for lattice field theory simulations , 1993, hep-lat/9309020.

[36]  Alan M. Ferrenberg,et al.  Monte Carlo simulations: Hidden errors from "good" random number generators. , 1992, Physical review letters.

[37]  G. Marsaglia,et al.  A New Class of Random Number Generators , 1991 .

[38]  J. E. Glynn,et al.  Numerical Recipes: The Art of Scientific Computing , 1989 .

[39]  George Marsaglia,et al.  Toward a universal random number generator , 1987 .

[40]  Giorgio Parisi,et al.  Effects of the random number generator on computer simulations , 1985 .

[41]  Donald E. Knuth,et al.  The art of computer programming. Vol.2: Seminumerical algorithms , 1981 .

[42]  M. Fisher,et al.  Bounded and Inhomogeneous Ising Models. I. Specific-Heat Anomaly of a Finite Lattice , 1969 .