Short description: None
The following timeline starts with the invention of the modern computer in the late interwar period.
1930s
1940s
1950s
1960s
1970s
1980s
See also
References
- ↑ Ballistic Research Laboratory, Aberdeen Proving Grounds, Maryland.
- ↑ "MATH 6140 - Top ten algorithms from the 20th Century". http://www.math.cornell.edu/~web6140/.
- ↑ Metropolis, N. (1987). "The Beginning of the Monte Carlo method". Los Alamos Science No. 15, Page 125. http://library.lanl.gov/cgi-bin/getfile?15-12.pdf. . Accessed 5 May 2012.
- ↑ S. Ulam, R. D. Richtmyer, and J. von Neumann(1947). Statistical methods in neutron diffusion. Los Alamos Scientific Laboratory report LAMS–551.
- ↑ N. Metropolis and S. Ulam (1949). The Monte Carlo method. Journal of the American Statistical Association 44:335–341.
- ↑ Richtmyer, R. D. (1948). Proposed Numerical Method for Calculation of Shocks. Los Alamos, NM: Los Alamos Scientific Laboratory LA-671.
- ↑ A Method for the Numerical Calculation of Hydrodynamic Shocks.
Von Neumann, J.; Richtmyer, R. D. Journal of Applied Physics, Vol. 21, pp. 232–237
- ↑ Von Neumann, J., Theory of Self-Reproducing Automata, Univ. of Illinois Press, Urbana, 1966.
- ↑ "Cellular Automaton". http://mathworld.wolfram.com/CellularAutomaton.html.
- ↑ "Equations of State Calculations by Fast Computing Machines". Journal of Chemical Physics 21 (6): 1087–1092. 1953. doi:10.1063/1.1699114. Bibcode: 1953JChPh..21.1087M.
- ↑ Unfortunately, Alder's thesis advisor was unimpressed, so Alder and Frankel delayed publication of their results until much later. Alder, B. J., Frankel, S. P., and Lewinson, B. A., J. Chem. Phys., 23, 3 (1955).
- ↑ Reed, Mark M.. "Stan Frankel". http://www.hp9825.com/html/stan_frankel.html. Retrieved 1 December 2017.
- ↑ Fermi, E. (posthumously); Pasta, J.; Ulam, S. (1955) : Studies of Nonlinear Problems (accessed 25 Sep 2012). Los Alamos Laboratory Document LA-1940. Also appeared in 'Collected Works of Enrico Fermi', E. Segre ed., University of Chicago Press, Vol.II,978–988,1965. Recovered 21 December 2012
- ↑ Broadbent, S. R.; Hammersley, J. M. (2008). "Percolation processes". Math. Proc. of the Camb. Philo. Soc.; 53 (3): 629.
- ↑
Alder, B. J.; Wainwright, T. E. (1959). "Studies in Molecular Dynamics. I. General Method". Journal of Chemical Physics 31 (2): 459. doi:10.1063/1.1730376. Bibcode: 1959JChPh..31..459A.
- ↑ Minovitch, Michael: "A method for determining interplanetary free-fall reconnaissance trajectories," Jet Propulsion Laboratory Technical Memo TM-312-130, pages 38-44 (23 August 1961).
- ↑ Christopher Riley and Dallas Campbell, 22 October 2012. "The maths that made Voyager possible" . BBC News Science and Environment. Recovered 16 June 2013.
- ↑ R. J. Glauber. "Time-dependent statistics of the Ising model, J. Math. Phys. 4 (1963), 294–307.
- ↑ Lorenz, Edward N. (1963). "Deterministic Nonperiodic Flow". Journal of the Atmospheric Sciences 20 (2): 130–141. doi:10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2. Bibcode: 1963JAtS...20..130L. http://www.nd.edu/~powers/ame.60611/lorenz.article.pdf.
- ↑ Rahman, A (1964). "Correlations in the Motion of Atoms in Liquid Argon". Phys Rev 136 (2A): A405–A41. doi:10.1103/PhysRev.136.A405. Bibcode: 1964PhRv..136..405R.
- ↑
Kohn, Walter; Hohenberg, Pierre (1964). "Inhomogeneous Electron Gas". Physical Review 136 (3B): B864–B871. doi:10.1103/PhysRev.136.B864. Bibcode: 1964PhRv..136..864H.
- ↑
Kohn, Walter; Sham, Lu Jeu (1965). "Self-Consistent Equations Including Exchange and Correlation Effects". Physical Review 140 (4A): A1133–A1138. doi:10.1103/PHYSREV.140.A1133. Bibcode: 1965PhRv..140.1133K.
- ↑ "The Nobel Prize in Chemistry 1998". Nobelprize.org. http://nobelprize.org/nobel_prizes/chemistry/laureates/1998/index.html. Retrieved 6 October 2008.
- ↑ Zabusky, N. J.; Kruskal, M. D. (1965). "Interaction of 'solitons' in a collisionless plasma and the recurrence of initial states". Phys. Rev. Lett. 15 (6): 240–243. Bibcode 1965PhRvL..15..240Z. doi:10.1103/PhysRevLett.15.240.
- ↑ "Definition of SOLITON". http://www.merriam-webster.com/dictionary/soliton. Retrieved 1 December 2017.
- ↑ K. Kawasaki, "Diffusion Constants near the Critical Point for Time-Dependent Ising Models. I. Phys. Rev. 145, 224 (1966)
- ↑ 27.0 27.1 "Computer "Experiments" on Classical Fluids. I. Thermodynamical Properties of Lennard−Jones Molecules". Physical Review 159 (1): 98–103. 1967. doi:10.1103/PhysRev.159.98. Bibcode: 1967PhRv..159...98V.
- ↑ Press, WH; Teukolsky, SA; Vetterling, WT; Flannery, BP (2007). "Section 17.4. Second-Order Conservative Equations". Numerical Recipes: The Art of Scientific Computing (3rd ed.). New York: Cambridge University Press. ISBN 978-0-521-88068-8. http://apps.nrbook.com/empanel/index.html#pg=928.
- ↑ Brackx, F.; Constales, D. (30 November 1991) (in en). Computer Algebra with LISP and REDUCE: An Introduction to Computer-aided Pure Mathematics. Springer Science & Business Media. ISBN 9780792314417. https://books.google.com/books?id=d7SZ8ppIUb0C&q=delaunay+computational+algebra&pg=PA3.
- ↑ Contopoulos, George (16 June 2004) (in en). Order and Chaos in Dynamical Astronomy. Springer Science & Business Media. ISBN 9783540433606. https://books.google.com/books?id=7YkDhZCCLR4C&q=delaunay+computational+algebra+lunar&pg=PA1.
- ↑ "Implementing a computer algebra system in Haskell". http://www.repositorio.ufop.br/bitstream/123456789/4361/1/ARTIGO_ImplementingComputerAlgebra.pdf. Retrieved 1 December 2017.
- ↑ "Computer Algebra". http://www.mosaicsciencemagazine.org/pdf/m24_04_91_03.pdf. Retrieved 1 December 2017.
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- ↑ Frank Close. The Infinity Puzzle, pg 207. OUP, 2011.
- ↑ Stefan Weinzierl:- "Computer Algebra in Particle Physics." pgs 5–7. arXiv:hep-ph/0209234. All links accessed 1 January 2012. "Seminario Nazionale di Fisica Teorica", Parma, September 2002.
- ↑ J. Hardy, Y. Pomeau, and O. de Pazzis (1973). "Time evolution of two-dimensional model system I: invariant states and time correlation functions". Journal of Mathematical Physics, 14:1746–1759.
- ↑ J. Hardy, O. de Pazzis, and Y. Pomeau (1976). "Molecular dynamics of a classical lattice gas: Transport properties and time correlation functions". Physical Review A, 13:1949–1961.
- ↑ Wilson, K. (1974). "Confinement of quarks". Physical Review D 10 (8): 2445. doi:10.1103/PhysRevD.10.2445. Bibcode: 1974PhRvD..10.2445W.
- ↑ Car, R.; Parrinello, M (1985). "Unified Approach for Molecular Dynamics and Density-Functional Theory". Physical Review Letters 55 (22): 2471–2474. doi:10.1103/PhysRevLett.55.2471. PMID 10032153. Bibcode: 1985PhRvL..55.2471C.
- ↑ Swendsen, R. H., and Wang, J.-S. (1987), Nonuniversal critical dynamics in Monte Carlo simulations, Phys. Rev. Lett., 58(2):86–88.
- ↑ L. Greengard, The Rapid Evaluation of Potential Fields in Particle Systems, MIT, Cambridge, (1987).
- ↑ Rokhlin, Vladimir (1985). "Rapid Solution of Integral Equations of Classic Potential Theory." J. Computational Physics Vol. 60, pp. 187–207.
- ↑ L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations," J. Comput. Phys., 73 (1987), no. 2, pp. 325–348.
- ↑ Wolff, Ulli (1989), "Collective Monte Carlo Updating for Spin Systems", Physical Review Letters, 62 (4): 361
External links
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