Mathematician:Carl David Tolmé Runge

Mathematican

German mathematician, physicist, and spectroscopist.

Best known as the co-developer (with Martin Wilhelm Kutta) of the Runge-Kutta Methods in the field of numerical analysis.

Also known for his work on the Zeeman effect.

His work paved the way for the Thue-Siegel-Roth Theorem in the field of Diophantine equations.

His daughter Nerina married Richard Courant.

Nationality

Anglo-German

History

• Born: 30 August 1856 in Bremen, Germany
• Died: 3 January 1927 in Göttingen, Germany

Theorems and Definitions

• Runge-Kutta Methods (with Martin Wilhelm Kutta), including:
  • Second-Order Runge-Kutta Formula
  • Classical Runge-Kutta Method
• Runge's Phenomenon
• Runge's Method for Diophantine Equations
• Laplace-Runge-Lenz Vector (with Pierre-Simon de Laplace and Wilhelm Lenz)
• Runge's Theorem

Results named for Carl David Tolmé Runge can be found here.

Books and Papers

• 1880: Ueber die Krümmung, Torsion und geodätische Krümmung der auf einer Fläche gezogenen Curven
• 1908: Analytische Geometrie der Ebene
• 1912: Graphical methods (course of lectures delivered in Columbia university, New York, October, 1909, to January, 1910)
• 1924: Vorlesungen über numerisches Rechnen (with Hermann König)
• 1928: Graphische Methoden (Teubner, 1928)

Sources

• John J. O'Connor and Edmund F. Robertson: "Carl David Tolmé Runge": MacTutor History of Mathematics archive

• 1972: George F. Simmons: Differential Equations ... (previous) ... (next): Miscellaneous Problems for Chapter $2$: Appendix $\text{A}$. Numerical Methods: Footnote