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:

    These anyway might think it was important
    That human history should not be shortened.
    Robert Frost (1874–1963)

    Indeed, the Englishman’s history of New England commences only when it ceases to be New France.
    Henry David Thoreau (1817–1862)

    Every generation rewrites the past. In easy times history is more or less of an ornamental art, but in times of danger we are driven to the written record by a pressing need to find answers to the riddles of today.... In times of change and danger when there is a quicksand of fear under men’s reasoning, a sense of continuity with generations gone before can stretch like a lifeline across the scary present and get us past that idiot delusion of the exceptional Now that blocks good thinking.
    John Dos Passos (1896–1970)