continuation_test

continuation_test, an Octave code which calls continuation(), 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

Related Data and Programs:

continuation, an Octave code which implements the continuation method for a simple 2D problem, involving finding a point on the unit circle, and then finding a sequence of nearby points that 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.

Source Code:

• continuation_test.m, calls all the tests;
• continuation_test.sh, runs all the tests;
• continuation_test.txt, the output file.

• circle_test.m, demonstrates the continuation method for finding points on a circle.
• circle_test.png, a PNG image of the points computed on the circle.
• f_circle.m, evaluates the function that implicitly defines a circle.
• fp_circle.m, evaluates the jacobian of the function that implicitly defines a circle.
• lotka_test.m, demonstrates the continuation method for a Lotka function.
• lotka_test.png, a PNG image of the points computed on the Lotka curve.
• f_lotka.m, evaluates the function that implicitly defines a Lotka curve.
• fp_lotka.m, evaluates the jacobian of the function that implicitly defines a Lotka curve.
• newton_test.m, demonstrates the Newton code.
• step_test.m, demonstrates the continuation step code.
• tangent_test.m, demonstrates the tangent code.