Timeline of computational mathematics: Difference between revisions

Revision as of 00:06, 21 August 2014

Revision as of 00:07, 21 August 2014

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== 1950s ==

* [[History of numerical weather prediction|First successful weather predictions]] on a computer occurred.<ref>Charney, J.; Fjørtoft, R.; von Neumann, J. (November 1950). "Numerical Integration of the Barotropic Vorticity Equation". Tellus 2 (4).</ref><ref>See the review article:- {{cite journal|last=Smagorinsky|first=J|title=The Beginnings of Numerical Weather Prediction and General Circulation Modelling: Early Recollections|journal=Advances in Geophysics|year=1983|volume=25|url=http://docs.lib.noaa.gov/rescue/JNWP/50th_Symp_2004_CD.PDF/JNWPU_2004_All/1010.pdf|accessdate=6 June 2012}}</ref>

* [[Magnus Hestenes|Hestenes]], [[Eduard Stiefel|Stiefel]], and [[Cornelius Lanczos|Lanczos]], all from the Institute for Numerical Analysis at the [[NIST|National Bureau of Standards]], initiate the development of [[Iterative method|Krylov subspace iteration method]]s.<ref>Magnus R. Hestenes and Eduard Stiefel, Methods of Conjugate Gradients for Solving Linear Systems, J. Res. Natl. Bur. Stand. 49, 409–436 (1952).</ref><ref>Eduard Stiefel,U¨ ber einige Methoden der Relaxationsrechnung (in German), Z. Angew. Math. Phys. 3, 1–33 (1952).</ref><ref>Cornelius Lanczos, Solution of Systems of Linear Equations by Minimized Iterations, J. Res. Natl. Bur. Stand. 49, 33–53 (1952).</ref><ref>Cornelius Lanczos, An Iteration Method for the Solution of the Eigenvalue Problem of Linear Differential and Integral Operators, J. Res. Natl. Bur. Stand. 45, 255–282 (1950).</ref> Voted one of the top 10 algorithms of the 20th century.

* ''[[Equations of State Calculations by Fast Computing Machines]]'' introduces the [[Metropolis–Hastings algorithm]].<ref>{{cite journal