An adaptive algorithm for efficient computation of level curves of surfaces

Numerical Algorithms

Volumn 52, Issue 4, 2009, Pages 605-628

  Breda, Dimitri ^a   Maset, Stefano ^b   Vermiglio, Rossana ^a  

^a UNIVERSITY OF UDINE   (Italy)

^b UNIVERSITY OF TRIESTE   (Italy)

Author keywords

Adaptive computation; Contour plot; Level curves

Indexed keywords

EID: 76149145683     PISSN: 10171398     EISSN: 15729265     Source Type: Journal    
DOI: 10.1007/s11075-009-9303-2     Document Type: Article

References (14)

1. Altintas, Y., Engin, S., Budak, E.: Analytical stability prediction and design of variable pitch cutters. J. Manuf. Sci. E.-T. ASME 121, 173-178 (1999).
2. Breda, D.: The infinitesimal generator approach for the computation of characteristic roots for delay differential equations using BDF methods. Technical Report RR17/2002, Department of Mathematics and Computer Science, University of Udine, (2002).
3. Breda, D., Maset, S., Sechi, D., Vermiglio, R.: Trace-DDE. http://users.dimi.uniud.it/~dimitri.breda/software.html (2005).
4. Breda, D., Maset, S., Vermiglio, R.: Computing the characteristic roots for delay differential equations. IMA J. Numer. Anal. 24(1), 1-19 (2004).
5. Breda, D., Maset, S., Vermiglio, R.: Pseudospectral differencing methods for characteristic roots of delay differential equations. SIAM J. Sci. Comput. 27(2), 482-495 (2005).
6. Dahlquist, G., Björck, Å: Numerical Methods. Prentice-Hall, Englewood Cliffs (1974).
7. Hale, J. K., Verduyn Lunel, S. M.: Introduction to Functional Differential Equations, No. 99, AMS series. Springer, New York (1993).
8. Insperger, T., Stépán, G.: Updated semi-discretization method for periodic delay-differential equations with discrete delay. Int. J. Numer. Methods Eng. 61, 117-141 (2004).
9. Michiels, W., Green, K., Wagenknecht, T., Niculescu, S. I.: Pseudospectra and stability radii for analytic matrix functions with application to time-delay systems. Linear Algebra Appl. 418(1), 315-335 (2006).
10. Niculescu, S. I.: Delay Effects on Stability: A Robust Control Approach, No. 269, TLNCIS. Monograph. Springer, London (2001).
11. Olgac, N., Sipahi, R.: An exact method for the stability analysis of time delayed LTI systems. IEEE Trans. Automat. Contr. 47(5), 793-797 (2002).
12. Richard, J. P.: Time-delay systems: an overview of some recent advances and open problems. Automatica 39, 1667-1694 (2003).
13. Sechi, D.: Sviluppo di interfaccia grafica per lo studio della stabilità di sistemi differenziali con ritardo. Master's thesis, University of Udine (2005, in italian).
14. Trefethen, L. N.: Pseudospectra of linear operators. SIAM Rev. 39(3), 383-406 (1997).