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:
-
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.
-
Werner Rheinboldt,
Solution Field of Nonlinear Equations and Continuation Methods,
SIAM Journal on Numerical Analysis,
Volume 17, Number 2, April 1980, pages 221-237.
-
Werner Rheinboldt,
Numerical Analysis of Continuation Methods for Nonlinear
Structural Problems,
Computers and Structures,
Volume 13, 1981, pages 103-114.
-
Werner Rheinboldt, John Burkardt,
A Locally Parameterized Continuation Process,
ACM Transactions on Mathematical Software,
Volume 9, Number 2, June 1983, pages 215-235.
-
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:
-
newton.m,
uses Newton's method to solve the augmented nonlinear system.
-
r8vec_print.m,
prints an R8VEC.
-
step.m,
takes one continuation step.
-
tangent.m,
computes the tangent vector.
Last modified on 27 June 2022.