The tallest column - A dynamical system approach using a symmetry solution

Studies in Applied Mathematics

Volumn 115, Issue 3, 2005, Pages 319-337

  Farjoun, Yossi ^a   Neu, John ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b NONE

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMICAL SYSTEMS;

DYNAMICAL SYSTEMS APPROACH; INTEGRATION METHOD; ITERATIVE INTEGRATION; SIMILARITY SOLUTION; STABLE MANIFOLD;

ITERATIVE METHODS;

EID: 25444476936     PISSN: 00222526     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1467-9590.2005.00316.x     Document Type: Article

References (8)

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2. J. B. KELLER and F. I. NIORDSON, The tallest column, J. Math. Mech. 16:433-446 (1966).
3. S. J. COX and C. M. MCCARTHY, The shape of the tallest column, SIAM J. Appl. Math. Anals. 29(3):547-554 (1998).
4. C. M. MCCARTHY, The tallest column - optimality revisited, J. Comput. Appl. Math. 101(1):27-37 (1999).
5. P. G. KIRMSER and K.-K. HU, The shape of the ideal column reconsidered, Math. Intelli. 15(3):62-68 (1993).
6. C. A. STUART, Buckling of a heavy tapered rod, J. Math. Pures Appl. 80(3):281-337 (2001).
7. G. I. BARENBLATT, Scaling, Self-Similarity, and Intermediate Asymptotics, Cambridge University Press, New York, 1996.
8. G. W. BLUMAN and S. C. ANCO, Symmetry and Integration Methods for Differential Equations, Applied Mathematical Sciences, Vol. 154, Springer-Verlag, 2002.