High Quality Content by WIKIPEDIA articles! In numerical analysis, Simpson's rule is a method for numerical integration, the numerical approximation of definite integrals. Numerical analysis is the study of algorithms that use numerical values (as opposed to general symbolic manipulations) for the problems of continuous mathematics (as distinguished from discrete mathematics).Numerical analysis naturally finds applications in all fields of engineering and the physical sciences, but in the 21st century, the life sciences and even the arts have adopted elements of scientific computations. Ordinary differential equations appear in the movement of heavenly bodies (planets, stars and galaxies); optimization occurs in portfolio management; numerical linear algebra is important for data analysis; stochastic differential equations and Markov chains are essential in simulating living cells for medicine and biology.

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