sci.math.num-analysis #27457 (0 + 62 more)                            (1)+-(1)
From: spellucci@mathematik.th-darmstadt.de (Peter Spellucci)             \-[1]
[1] Re: Mystery in NA.

From spellucci Thu Apr 18 20:11:40
In article <4l2n1i$cpk@yama.mcc.ac.uk>, chengsh@ma.man.ac.uk (Cheng Sheung Hun)
writes:
|> We all know Runge-Kutta method.
|> But who is Runge?
|> Who is Kutta?
|>
|> Does anybody know also the background of radau|>
runge and kutta : two german applied mathematicians which were the
first to develop methods of the kind of "general rk-methods"
for which butcher developed a completed theory.
the first paper appeared in 1895 in Math. Ann. 46, 167-178.
further references: 1905, Goettinger Nachrichten, 252-257
(this is the "classical" rk-method of order 4
and Runge und Koenig:  Vorlesungen ueber numerisches Rechnen, Springer 1924.
Runge is also known for "Runge's phenomenon" , the divergence of interpolation
polynomials taken from the values of non-entire functions.
Radau was a French mathematician working at Acad. Sci. Paris at the end of the
last century. the well known gauss-type quadrature with the endpoints of the
interval fixed was published by him in 1880.
hope this helps
peter

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