# 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
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 numerical analysis - (mathematics) the branch of mathematics that studies algorithms for approximating solutions to problems in the infinitesimal calculusmath, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangementpure 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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At first he smiled, but when we reached the numerical computations and correspondences, he trembled, and turned pale.
This text introduces the mathematics and use of algorithms for the fundamental problems of numerical computation: linear algebra, finding roots, approximating data and functions, and solving differential equations.
More precisely, after the right-hand side of (9) has been substituted for [x.sup.0], by using standard numerical computation routines, (10) is solved with respect to [y.sup.0] for any given value of [beta] and fixed values for the other parameters.
In general, numerical computation is still one of the most feasible methods of studying random periodic orbits of chaotic systems of SDEs whose applications describe many natural phenomena in meteorology, biology, and so on [2, 3].
Turkel, "On accuracy conditions for the numerical computation of waves," Journal of Computational Physics, vol.
The number of its layers are equal to the number of the elements in the vertical direction in the numerical computation, also in the time of construction, which means its vertical displacements will be equal to zero after every layer is constructed.
While it is unhelpful to restrict thinking about calculators to their capacity to undertake numerical computation, it is important to recognise nonetheless that such a capacity is helpful for students; indeed, this was the initial attraction of calculators to mathematics education nearly forty years ago.
In the next section we take three intervals and carry out a numerical computation. Our numerical procedure is going to based on the method of steepest descent.
For the numerical computation, we consider a compact domain in a and [phi].
Wolfram Mathematica 9.0 was used for numerical computation. Some of the findings are presented here as examples and are given below:
For example the numerical reconstruction of the digitally recorded holograms (Kreis, 2004; Schnars & Jueptner, 2005), synthesis of computer generated holograms (Pan et al., 2009), numerical correction of optical aberrations in microscopy systems (Colomb et al., 2006), optical encryption of information (Matoba & Javidi, 1999), among many others, are some of the applications that require the numerical computation of the propagation of optics fields.

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