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Numerical analysis is the study of algorithms for the problems of continuous mathematics (as distinguished from discrete mathematics). Some of the problems it deals with arise directly from the study of calculus; other areas of interest are real variable or complex variable questions, numerical linear algebra over the real or complex fields, the solution of differential equations, and other related problems arising in the physical sciences and engineering.

General introduction


Many problems in continuous mathematics do not possess a closed-form solution. Examples are finding the integral of exp(−x2) (see error function) and solving a general polynomial equation of degree five or higher (see Abel-Ruffini theorem). In these situations, one has two options left: either one tries to find an approximate solution using asymptotic analysis or one seeks a numerical solution. The latter choice describes the field of numerical analysis.

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In mathematics, continuous symmetry is an intuitive idea corresponding to the concept of viewing some symmetries as motions
tjdemas (T.J. Demas) Wed, 04 Nov 2009 00:42:19 -0000
In mathematics, continuous symmetry is an intuitive idea corresponding to the concept of viewing some symmetries as motions
Success of modern science is application of continuous mathematics. But this isn't adequate to explain all features of universe.
strtweets (Stand to Reason) Wed, 28 Oct 2009 02:55:03 -0000
Success of modern science is application of continuous mathematics. But this isn't adequate to explain all features of universe.

 
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Domain Decomposition Organization - Bergen, Norway. Information about the annual international Domain Decomposition meeting, links to people working in the field and information about books and other material related to Domain Decomposition.

External Numerical Analysis Sources - Compiled by Nick Gould, Rutherford Appleton Laboratory.

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Numerical Methods for PDEs with Java Applets - Distance learning course dealing with finite differences / elements, Monte-Carlo, Fourier and Lagrangian methods for the advection, diffusion, wave, Schrodinger, Burger and KdV equations. The commercial version of a course taught to science and engineering students at the Royal Institute of Technology in Stockholm (Sweden).
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