continuation


continuation, an Octave code which implements the continuation method for a simple 2D problem, which involves finding a point on the unit circle, and then finding a sequence of nearby points which trace out the full curve, using only the information available in the implicit definition of the curve from the function f(x,y)=x^2+y^2-1.

Licensing:

The computer code and data files made available on this web page are distributed under the MIT license

Languages:

continuation is available in a MATLAB version and an Octave version..

Related Data and Programs:

continuation_test

Reference:

  1. Cor den Heijer, Werner Rheinboldt,
    On Steplength Algorithms for a Class of Continuation Methods,
    SIAM Journal on Numerical Analysis,
    Volume 18, Number 5, October 1981, pages 925-947.
  2. Werner Rheinboldt,
    Solution Field of Nonlinear Equations and Continuation Methods,
    SIAM Journal on Numerical Analysis,
    Volume 17, Number 2, April 1980, pages 221-237.
  3. Werner Rheinboldt,
    Numerical Analysis of Continuation Methods for Nonlinear Structural Problems,
    Computers and Structures,
    Volume 13, 1981, pages 103-114.
  4. Werner Rheinboldt, John Burkardt,
    A Locally Parameterized Continuation Process,
    ACM Transactions on Mathematical Software,
    Volume 9, Number 2, June 1983, pages 215-235.
  5. Werner Rheinboldt, John Burkardt,
    Algorithm 596: A Program for a Locally Parameterized Continuation Process,
    ACM Transactions on Mathematical Software,
    Volume 9, Number 2, June 1983, pages 236-241.

Source Code:


Last modified on 27 June 2022.