A finite-difference approximation to Newton’s Method Jacobian Matrices
| Author(s): |
Ruy Marcelo Pauletti
Edgard Almeida-Neto |
|---|---|
| Medium: | conference paper |
| Language(s): | English |
| Conference: | 35th Annual Symposium of IABSE / 52nd Annual Symposium of IASS / 6th International Conference on Space Structures: Taller, Longer, Lighter - Meeting growing demand with limited resources, London, United Kingdom, September 2011 |
| Published in: | IABSE-IASS 2011 London Symposium Report |
| Year: | 2011 |
| Abstract: |
Edgard S. ALMEIDA-NETOProfessor University of São Paulo São Paulo, Brazil Edgard S. Almeida Neto received his PhD in Mechanics from the Rensselaer Polytechnic Institute, and is currently an Assistant Professor at the University of São Paulo. We propose a finite-difference scheme to assemble Newton’s Method Jacobian matrices, whose columns are seen as directional derivatives of the system’s residual vector, with respect to each of its degrees of freedom. The generality, simplicity and easy implementation of the proposed method encourage its use, whenever exact Jacobian matrices are not readily available. |
| Keywords: |
numerical methods non-linear analysis Newton´s Method
|
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10065176 - Published on:
03/10/2011 - Last updated on:
05/07/2021
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