Timeline of computational mathematics: Difference between revisions

Revision as of 20:21, 2 October 2015

Revision as of 21:37, 8 July 2016

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Von Neumann, J.; Richtmyer, R. D. Journal of Applied Physics, Vol. 21, pp. 232–237</ref>

* Ulam and von Neumann introduce the notion of cellular automata.<ref>Von Neumann, J., Theory of Self-Reproduiing Automata, Univ. of Illinois Press, Urbana, 1966.</ref>

* [[Manchester_SmallManchester Small-Scale_Experimental_MachineScale Experimental Machine#First programs|A routine for the Manchester Baby]] written to factor a large number (2^18), one of the first in [[computational number theory]].<ref>[http://curation.cs.manchester.ac.uk/digital60/www.digital60.org/birth/manchestercomputers/mark1/manchester.html The Manchester Mark 1.]</ref> The Manchester group would make several other breakthroughs in [[Mersenne primes|this area]].<ref>[http://curation.cs.manchester.ac.uk/digital60/www.digital60.org/about/glossary/notes.html#mersenne Miscellaneous Notes: Mersenne Primes.] [http://www.cs.manchester.ac.uk/Digital60/Digital 60 Manchester - 60 years of the Modern Computer], [[University of Manchester|Manchester Uni.]] CS Curation website.</ref><ref>[http://news.bbc.co.uk/2/hi/technology/7465115.stm One tonne 'Baby' marks its birth: Dashing times.] By Jonathan Fildes, Science and technology reporter, BBC News.</ref>

== 1950s ==

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* Molecular dynamics was invented independently by [[Aneesur Rahman]].<ref>{{cite journal|last=Rahman|first=A|title=Correlations in the Motion of Atoms in Liquid Argon|journal=Phys Rev|year=1964|volume=136|issue=2A|pages=A405–A41|doi=10.1103/PhysRev.136.A405|bibcode = 1964PhRv..136..405R }}</ref>

* [[Martin Kruskal|Kruskal]] and [[Norman Zabusky|Zabusky]] follow up the [[Fermi–Pasta–Ulam problem]] with further numerical experiments, and coin the term "soliton".<ref>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.</ref><ref>http://www.merriam-webster.com/dictionary/soliton ; retrieved 3 nov 2012.</ref>

* [[Edward Lorenz]] discovers the [[butterfly effect]] on a computer, attracting interest in [[chaos theory]].<ref>{{cite journal|last=Lorenz|first=Edward N.|title=Deterministic Nonperiodic Flow|journal=Journal of the Atmospheric Sciences 20 (2): |pages=130–141|year=1963|url=http://www.nd.edu/~powers/ame.60611/lorenz.article.pdf|doi=10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2|volume=20|issue=2|pages=130|bibcode = 1963JAtS...20..130L }}</ref>

* Frenchman Verlet (re)discovers [[Verlet integration|a numerical integration algorithm]],<ref name="Verlet">{{cite journal

| first=Loup | last=Verlet| authorlink=Loup Verlet

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* The appearance of the first research grids using [[volunteer computing]] – [[GIMPS]] (1996), [[distributed.net]] (1997) and [[Seti@Home]] (1999).

* [[Kepler conjecture]] is [[proof by exhaustion|almost all but certainly proved]] algorithmically by [[Thomas Callister Hales|Thomas Hales]] in 1998.

==2000s==

*In computational group theory, God's number is shown to be 20.<ref>[http://blog.computationalcomplexity.org/2010/09/rubiks-cube-conjecture-proven-do-we.html The Rubik's Cube Conjecture PROVEN! (Do we care?)] Wednesday, September 08, 2010</ref><ref>[http://www.cube20.org God's Number is 20.]</ref>