Carl Runge

Carle David Tolmé Runge , born the August 30th 1856 and dead the January 3rd 1927, was a Mathématicien and German Physicien . He Co-developed with Martin Wilhelm Kutta one of the methods of numerical resolution for the differential equations the most used, the Méthode of Runge-Kutta.

Biography

He spent his first years to Havana, where his/her father Julius Runge was consul of Denmark. The family then settled with Bremen, where his/her father died in 1864.

In 1880, it supports its doctorate in mathematics with Berlin under the direction of Karl Weierstrass. In 1886, he becomes professor with Hanover.

Its interests went on mathematics, the Spectroscopie, the Géodésie and the Astrophysique. Apart from its work in pure mathematics, it did also much experimental research on the spectrum of various chemical elements and was interested in the applications in astronomical spectroscopy.

In 1901, he discovered that the very intuitive process of polynomial interpolation of Lagrange can diverge, even with functions presenting all the usually allowed conditions of regularity (phenomenon known as “of Runge”).

In 1904, it settles with Göttingen, where it remains until its retirement in 1925.

A crater bears its name on the the Moon.

Outstanding contributions

  • “ Über die numerische Auflösung von Differentialgleichungen ” (1895), Mathematische Annalen, vol. 46, pp. 167-178
  • “ Über empirische Funktionen und die Interpolation zwischen äquidistanten Ordinaten ” (1901), Zeitung DER Maths. und Phys., vol. 46, pp. 224-243

See too

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