वैज्ञानिक अभिकलन का कालक्रम

यहाँ वैज्ञानिक परिकलन की कालरेखा दी गयी है।
आधुनिक कम्प्यूतरों के पूर्व

१८वीं शताब्दी
 1733 - फ्रान्सीसी प्रकृतिविज्ञानी कॉम्त दी बफों (Comte de Buffon) ने अपनी सुई समस्या (Buffon's needle) प्रस्तुत की।Buffon, G. Editor's note concerning a lecture given 1733 by Mr. Le Clerc de Buffon to the Royal Academy of Sciences in Paris. Histoire de l'Acad. Roy. des Sci., pp. 43-45, 1733; according to Weisstein, Eric W.  "Buffon's Needle Problem."  From MathWorld--A Wolfram Web Resource. 20 Dec 2012 20 Dec 2012.Buffon, G. "Essai d'arithmétique morale." Histoire naturelle, générale er particulière, Supplément 4, 46-123, 1777; according to Weisstein, Eric W.  "Buffon's Needle Problem."  From MathWorld--A Wolfram Web Resource. 20 Dec 2012
 आइलर ने आइलर समाकलन (Euler integration) प्रस्तुत किया जो समाकलन की एक सरल संख्यात्मक विधि था। Euler, L. Institutionum calculi integralis. Impensis Academiae Imperialis Scientiarum, 1768.Butcher, John C. (2003), Numerical Methods for Ordinary Differential Equations, New York: John Wiley & Sons, .Hairer, Ernst; Nørsett, Syvert Paul; Wanner, Gerhard (1993), Solving ordinary differential equations I: Nonstiff problems, Berlin, New York: Springer-Verlag, .

१९वीं शताब्दी
 First formulation of Gram-Schmidt orthogonalisation by Laplace,Laplace, PS. (1816). Théorie Analytique des Probabilités :First Supplement, p. 497ff. to be further improved decades later.Earliest Known Uses of Some of the Words of Mathematics (G).  As of Aug 2017. 
 Babbage in 1822, began work on a machine made to compute/calculate values of polynomial functions automatically by using the method of finite differences. This was eventually called the Difference engine.
 Lovelace's note G on the Analytical Engine (1842) describes an algorithm for generating Bernoulli numbers. It is considered the first algorithm ever specifically tailored for implementation on a computer, and thus the first-ever computer programme.Tom Stoppard’s “Arcadia,” at Twenty.  By Brad Leithauser. The New Yorker, August 8, 2013. The engine was never completed, however, so her code was never tested.
 In applied mathematics, Jacobi develops technique for solving numerical equations.Jacobi’s Ideas on Eigenvalue Computation in a modern context , Henk van der Vorst.Jacobi method,  Encyclopedia of Mathematics.The Early History of Matrix Iterations: With a Focus on the Italian Contribution , Michele Benzi, 26 October 2009. SIAM Conference on Applied Linear Algebra, Monterey Bay – Seaside, California.

१९०० का दशक
 1900 - कार्ल रुंगे (Carl Runge) और मार्टिन कुटा (Martin Kutta) ने  रुंगा-कुटा विधि का विकास किया जो अवकल समीकरणों के समाकलन की एक विधि थी।MW Kutta. "Beiträge zur näherungsweisen Integration totaler Differentialgleichungen" [Contributions to the approximate integration of total differential equations] (in German). Thesis, University of Munich. 
 1901 -  and in B.G Teubner, 1901.Runge, C., "Über die numerische Auflösung von Differentialgleichungen" [About the numerical solution of differential equations](in German), Math. Ann. 46 (1895) 167-178.

१९१० का दशक
 1910 - A-M Cholesky creates a matrix decomposition scheme.

१९२० का दशक
 1922 - Lewis Fry Richardson introduces numerical weather forecasting by manual calculation, using methods originally developed by Vilhelm Bjerknes as early as 1895.L F Richardson, Weather Prediction by Numerical Process. Cambridge University Press (1922).
 1926 - Grete Hermann publishes foundational paper for computer algebra, which established the existence of algorithms (including complexity bounds) for many of the basic problems of abstract algebra, such as ideal membership for polynomial rings.
 1927 - Douglas Hartree creates what is later known as the Hartree–Fock method, the first ab initio quantum chemistry methods. However, manual solutions of the Hartree–Fock equations for a medium-sized atom were laborious and small molecules required computational resources far beyond what was available before 1950.

१९३० का दशक
This decade marks the first major strides to a modern computer, and hence the start of the modern era.
 Fermi's Rome physics research group (informal name I ragazzi di Via Panisperna) develop statistical algorithms based on Comte de Buffon's work, that would later become the foundation of the Monte Carlo method. See also FERMIAC.
 John Vincent Atanasoff  and Clifford Berry create the first electronic non-programmable, digital computing device, the Atanasoff–Berry Computer, from 1937-42.
 Complex number calculator created by Stibitz.

१९४० का दशक
 1947 - Monte Carlo simulation (voted one of the top 10 algorithms of the 20th century) invented at Los Alamos by von Neumann, Ulam and Metropolis.. 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.
 George Dantzig introduces the simplex method (voted one of the top 10 algorithms of the 20th century) in 1947. Systems Optimization Laboratory, Stanford University Huang Engineering Center (site host/mirror).
 Ulam and von Neumann introduce the notion of cellular automata.Von Neumann, J., Theory of Self-Reproduiing Automata, Univ. of Illinois Press, Urbana, 1966.
 Turing formulated the LU decomposition method.A. M. Turing, Rounding-off errors in matrix processes. Quart. J Mech. Appl. Math. 1 (1948), 287–308 (according to Poole, David (2006), Linear Algebra: A Modern Introduction (2nd ed.), Canada: Thomson Brooks/Cole, .) .
 Philips creates (invents?) the MONIAC hydraulic computer at LSE, better known as "Philip's Economic Computer".The computer model that once explained the British economy.  Larry Elliott, The Guardian, Thursday 8 May 2008.Phillip's Economic Computer, 1949.  Exhibit at London Science Museum.
 First hydro simulations occurred at Los Alamos.Richtmyer, R. D. (1948). Proposed Numerical Method for Calculation of Shocks. Los Alamos, NM: Los Alamos Scientific Laboratory LA-671.

१९५० का दशक
 First successful weather predictions on a computer occurred.See the review article:- 
 Hestenes, Stiefel, and Lanczos, all from the Institute for Numerical Analysis at the National Bureau of Standards, initiate the development of Krylov subspace iteration methods.Magnus R. Hestenes and Eduard Stiefel, Methods of Conjugate Gradients for Solving Linear Systems, J. Res. Natl. Bur. Stand. 49, 409-436 (1952).Eduard Stiefel,U¨ ber einige Methoden der Relaxationsrechnung (in German), Z. Angew. Math. Phys. 3, 1-33 (1952).Cornelius Lanczos, Solution of Systems of Linear Equations by Minimized Iterations, J. Res. Natl. Bur. Stand. 49, 33-53 (1952).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). Voted one of the top 10 algorithms of the 20th century.
 Equations of State Calculations by Fast Computing Machines introduces the Metropolis–Hastings algorithm.
 Molecular dynamics invented by Bernie Alder and Wainwright 
 Householder invents his eponymous matrices and transformation method (voted one of the top 10 algorithms of the 20th century).
 1940 - Enrico Fermi, John Pasta, Stanislaw Ulam, and Mary Tsingou discover the Fermi–Pasta–Ulam–Tsingou problem through computer simulations of a vibrating string.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 Dec 2012
 A team led by Backus develops the FORTRAN compiler and programming language at IBM's research centre in San Jose, California. This sped the adoption of scientific programming,W.W. McDowell Award citation: National Medal of Science citation:  and is one of the oldest extant programming languages, as well as one of the most popular in science and engineering.

१९६० का दशक
 1960 - First recorded use of the term "finite element method" by Ray Clough to describe the earlier methods of Richard Courant, Alexander Hrennikoff and Olgierd Zienkiewicz in structural analysis.RW Clough, "The Finite Element Method in Plane
Stress Analysis," Proceedings of 2nd ASCE Conference on Electronic Computation, Pittsburgh, PA, Sept. 8, 9, 1960.
 1961 - John G.F. Francis and Vera Kublanovskaya Also published in: Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki [Journal of Computational Mathematics and Mathematical Physics], 1(4), pages 555–570 (1961). invent QR factorization (voted one of the top 10 algorithms of the 20th century).
 1963 - Edward Lorenz discovers the butterfly effect on a computer, attracting interest in chaos theory.
 1961 - Using computational investigations of the 3-body problem, Michael Minovitch formulates the gravity assist method.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, Oct 22, 2012. "The maths that made Voyager possible" . BBC News Science and Environment. Recovered 16 Jun 2013.
 1964 - Molecular dynamics invented independently by Aneesur Rahman.
 1965 - Fast Fourier Transform developed by James W. Cooley and John W. Tukey.
 1964 - Walter Kohn, with Lu Jeu Sham and Pierre Hohenberg, instigates the development of density functional theory, for which he shares the 1998 Nobel Chemistry Prize with John Pople. This contribution is arguably the first Nobel given for a computer program or computational technique.

१९७० का दशक
 1975 - Benoit Mandelbrot coins the term "fractal" to describe the self-similarity found in the Fatou, Julia and Mandelbrot sets. Fractals become the first mathematical visualization tool extensively explored with computing.B. Mandelbrot; Les objets fractals, forme, hasard et dimension  (in French). Publisher: Flammarion (1975),  ; English translation Fractals: Form, Chance and Dimension. Publisher: Freeman, W. H & Company. (1977). .
 1977 - Kenneth Appel and Wolfgang Haken prove the four colour theorem, the first theorem to be proved by computer.

१९८० का दशक
 Fast multipole method (voted one of the top 10 algorithms of the 20th century) invented by Vladimir Rokhlin and Leslie Greengard.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.

१९९० का दशक
 1990 - In computational genomics and sequence analysis, the Human Genome Project, an endeavour to sequence the entire human genome, begins.
 1998 - Kepler conjecture is almost all but certainly proved algorithmically by Thomas Hales.
 The appearance of the first research grids using volunteer computing - GIMPS (1996), distributed.net (1997) and Seti@Home (1999).

२००० का दशक
 2000 - The Human Genome Project completes a rough draft of human genome.
 2003 - The Human Genome Project completed.
 2002 - The BOINC architecture is launched in 2002.

२०१० का दशक
फोल्डित खिलाडियों ने विषाणु की संरचना का हल निकाला। यह खेल द्वारा वैज्ञानिक प्रशन हल करने के प्रथम कुछ मामलों में से एक है।

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बाहरी कड़ियाँ
 SIAM (Society for Industrial and Applied Mathematics) News. Top 10 Algorithms of the 20th Century.
 The History of Numerical Analysis and Scientific Computing @ SIAM (Society for Industrial and Applied Mathematics)
 
 

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