# 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
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 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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Suppose the numerical discrete grid size is h; in order to ensure an accurate numerical solution, the condition [k.sup.2]h < 1 must be enforced and it is necessary to require kh to be small.
In this section, the stability region of the diagonally implicit multistep block method of order three is discussed for the numerical solution of VIDE.
Simos  extended exponentially fitted Runge-Kutta methods for the numerical solution of the Schrodinger equation and related problems.
Reference  should be replaced with the article titled "Numerical Solution of Fractional Order Epidemic Model of a Vector Born Disease by Laplace Adomian Decomposition Method" .
The topic of their Ph.D theses are 'Numerical Evaluation of Highly Oscillatory Integrals' and 'Local mesh-less collocation method for numerical solution of partial differential equations,' respectively.
Figures 5 and 6 depict the [e.sub.N]([eta], [tau]) associated with the obtained numerical solution of the this example for N = 7,9 and N = 11,13, respectively.
 proposed a numerical solution procedure for the DPL equation that could provide the base for an efficient numerical solver for 3D problems.
Other researchers have also proposed different numerical schemes for solving telegraph equation; for example, Dehghan and Lakestani  proposed a method based on Chebyshev cardinal functions to solve one-dimensional hyperbolic telegraph equation, and Javidi  used Chebyshev spectral collocation method for computing numerical solution of telegraph equation.
We will consider the numerical solution of a class of linear Volterra-Fredholm integrodifferential initial value problems of the form

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