Numerical Methods For Ordinary Differential Equations - History

History

Below is a timeline of some important developments in this field.

  • 1768 - Leonhard Euler publishes his method.
  • 1824 - Augustin Louis Cauchy proves convergence of the Euler method. In this proof, Cauchy uses the implicit Euler method.
  • 1855 - First mention of the multistep methods of John Couch Adams in a letter written by F. Bashforth.
  • 1895 - Carl Runge publishes the first Runge–Kutta method.
  • 1905 - Martin Kutta describes the popular fourth-order Runge–Kutta method.
  • 1910 - Lewis Fry Richardson announces his extrapolation method, Richardson extrapolation.
  • 1952 - Charles F. Curtiss and Joseph Oakland Hirschfelder coin the term stiff equations.

Read more about this topic:  Numerical Methods For Ordinary Differential Equations

Famous quotes containing the word history:

    “English history is all about men liking their fathers, and American history is all about men hating their fathers and trying to burn down everything they ever did.”
    —Malcolm Bradbury (b. 1932)

    “What has history to do with me? Mine is the first and only world! I want to report how I find the world. What others have told me about the world is a very small and incidental part of my experience. I have to judge the world, to measure things.”
    —Ludwig Wittgenstein (1889–1951)

    “The true theater of history is therefore the temperate zone.”
    —Georg Wilhelm Friedrich Hegel (1770–1831)