Efficient path tracking methods

Author:

Bates Daniel J.,Hauenstein Jonathan D.,Sommese Andrew J.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Reference17 articles.

1. Allgower, E.L., Georg, K.: Numerical continuation methods, An introduction. Springer Series in Computational Mathematics, vol. 13. Springer, Berlin (1990)

2. Bates, D.J., Hauenstein, J.D., Sommese, A.J., Wampler, C.W.: Bertini: Software for Numerical Algebraic Geometry. Available at http://www.nd.edu/∼sommese/bertini

3. Bates, D.J., Hauenstein, J.D., Sommese, A.J., Wampler, C.W.: Adaptive multiprecision path tracking. SIAM J. Numer. Anal., 46, 722–746 (2008)

4. Bates, D.J., Hauenstein, J.D., Sommese, A.J., Wampler, C.W.: Stepsize control for adaptive multiprecision path tracking. Contemp. Math. 496, 21–31 (2009)

5. Cash, J.R., Karp, A.H.: A variable order Runge-Kutta method for initial value problems with rapidly varying right-hand sides. ACM Trans. Math. Software, 16(3), 201–222 (1990)

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