numerical analysis

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numerical analysis

n.
The study of approximation techniques for solving mathematical problems, taking into account the extent of possible errors.

numerical analysis

n
(Mathematics) a branch of mathematics concerned with methods, usually iterative, for obtaining solutions to problems by means of a computer
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Noun1.numerical analysis - (mathematics) the branch of mathematics that studies algorithms for approximating solutions to problems in the infinitesimal calculus
math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
pure mathematics - the branches of mathematics that study and develop the principles of mathematics for their own sake rather than for their immediate usefulness
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References in periodicals archive ?
Ruiz Guiz Galan, "An approximation method for solving systems of Volterra integro-differential equations," Applied Numerical Mathematics, vol.
Paternoster, "Runge-Kutta(-Nystrom) methods for ODEs with periodic solutions based on trigonometric polynomials," Applied Numerical Mathematics, vol.
Li, "A new Crank-Nicolson finite element method for the time-fractional subdiffusion equation," Applied Numerical Mathematics, vol.
Pryce, "Solving differential-algebraic equations by taylor series (I): Computing taylor coefficients," BIT Numerical Mathematics, vol.
Yan, "On the uniqueness and reconstruction for an inverse problem of the fractional diffusion process," Applied Numerical Mathematics, vol.
Gildersleeve, "Numerical experiments on the condition number of the interpolation matrices for radial basis functions," Applied Numerical Mathematics, vol.
Dehghan, "A high order finite volume element method for solving elliptic partial integro-differential equations," Applied Numerical Mathematics, vol.
The problem of numerical resolution of partial differential equations, or finding and/or improving the algorithms for solving them is studied in numerical analysis--a branch of numerical mathematics. The most famous numerical method for solving such problems is the finite difference method (or mesh method) which idea is to approximate the derivatives of function (of one or more variables) with the divided differences.
Saleri, Numerical Mathematics, SpringerVerlag, New York, 2000.
Integral equations, volume 120 of International Series of Numerical Mathematics. Birkh Aauser Verlag, Basel,.

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