On a numerical approximation of the boundary structure and of the area of the Mandelbrot set

Author:

Andreadis Ioannis,Karakasidis Theodoros E.

Publisher

Springer Science and Business Media LLC

Subject

Electrical and Electronic Engineering,Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Control and Systems Engineering

Reference18 articles.

1. Rabenhorst, D.: What is the area of the Mandelbrot set. J. Chaos Graph. 2, 26 (1987)

2. Fisher, Y., Hill, J.: Bounding the area of the Mandelbrot set. Numer. Math. (1993, submitted). Available online: http://citeseer.ist.psu.edu/35134.html . Accessed 29 February 2012 (1993)

3. Hill, J.R.: Fractals and the Grand Internet Parallel Processing Project. Ch. 15 in Fractal Horizons: The Future Use of Fractals, pp. 299–323. St. Martin’s Press, New York (1996)

4. Andreadis, I., Karakasidis, T.E.: On numerical approximations of the area of the generalized Mandelbrot sets. Appl. Math. Comput. 219, 10974–10982 (2013)

5. Bittner, D., Cheong, L., Gates, D., Nguyen, H.D.: New approximation for the area of the Mandelbrot set. arxiv:1410.1212v1 [math.DS] 5 Oct (2014)

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