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Fix CS1 deprecated date parameter errors

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In [[numerical analysis]] and [[applied mathematics]], '''sinc numerical methods''' are numerical techniques<ref>{{cite doi|10.1016/S0377-0427(00)00348-4}}</ref> for finding approximate solutions of [[partial differential equations]] and [[integral equations]] based on the translates of [[sinc]] function and Cardinal function C(f,h)which is an expansion of f defined by
:<math>C(f,h)(x)=\sum_{k=-\infty}^\infty \textrm{sinc}(\frac{x}{h-k})</math>
where the step size h>0 and where the sinc function is defined by
:<math>\textrm{sinc}(x)=\frac{\sin(\pi x)}{\pi x}</math>
Sinc approximation methods excel for problems whose solutions may have singularities, or infinite domains, or boundary layers.

==Sinc numerical methods cover==

*function approximation,
*approximation of [[derivative]]s,
*approximate definite and indefinite [[integral|integration]],
*approximate solution of initial and boundary value ordinary [[differential equation]] (ODE) problems,
*approximation and inversion of [[Fourier transform|Fourier]] and [[Laplace transform|Laplace]] transforms,
*approximation of [[Hilbert transforms]],
*approximation of definite and indefinite [[convolution]],
*approximate solution of partial differential equations,
*approximate solution of [[integral equations]],
*construction of conformal maps.
Indeed, Sinc are ubiquitous for approximating every operation of calculus

In the standard setup of the sinc numerical methods, the errors (in [[big O notation]]) are known to be <math>O\left(e^{-c\sqrt{n}}\right)</math> with some c>0, where n is the number of nodes or bases used in the methods. However, Sugihara<ref>{{cite doi|10.1016/j.cam.2003.09.016}}</ref> has recently found that the errors in the Sinc numerical methods based on double exponential transformation are <math>O\left(e^{-\frac{k n}{\ln n}}\right)</math> with some k>0, in a setup that is also meaningful both theoretically and practically and are found to be best possible in a certain mathematical sense.

==Reading==
*{{cite book
|title=

Handbook of Sinc Numerical Methods

|last1=Stenger |first1=Frank |authorlink1=
|coauthors=
|editor1-last= |editor1-first= |editor1-link=
|year= 2011
|publisher=CRC Press
|location=Boca Raton, FL
|isbn=9781439821596
|url=
|page=
|pages=
|ref=
}}
*{{cite book
|title=Sinc Methods for Quadrature and Differential Equations
|last1=Lund |first1=John |authorlink1=
|last2=Bowers | first2=Kenneth
|coauthors=
|editor1-last= |editor1-first= |editor1-link=
|year= 1992
|publisher=Society for Industrial and Applied Mathematics (SIAM)
|location=Philadelphia
|isbn=9780898712988
|url=
|page=
|pages=
|ref=
}}

==References==
{{Reflist}}

[[Category:Numerical analysis]]

{{mathapplied-stub}}

SINADR - Revision history

en>Monkbot: Fix CS1 deprecated date parameter errors