The Chebyshev pseudospectral method for optimal control problems is based on Chebyshev polynomials of the first kind. It is part of the larger theory of...
4 KB (446 words) - 03:21, 22 July 2024
The Gauss pseudospectral method (GPM), one of many topics named after Carl Friedrich Gauss, is a direct transcription method for discretizing a continuous...
9 KB (1,142 words) - 02:07, 26 December 2023
applied mathematics, the pseudospectral knotting method is a generalization and enhancement of the standard pseudospectral method for optimal control. Introduced...
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Legendre pseudospectral method Chebyshev pseudospectral method Pseudospectral knotting method Ross, I. M.; Karpenko, M. (2012). "A Review of Pseudospectral Optimal...
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Legendre pseudospectral method for optimal control problems is based on Legendre polynomials. It is part of the larger theory of pseudospectral optimal...
7 KB (799 words) - 05:53, 25 October 2023
general banner of pseudospectral optimal control. Examples of these are the Legendre pseudospectral method, the Chebyshev pseudospectral method, the Gauss pseudospectral...
15 KB (1,510 words) - 02:43, 26 August 2024
are the pseudospectral knotting method, the flat pseudospectral method, the Legendre-Gauss-Radau pseudospectral method and pseudospectral methods for infinite-horizon...
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inequality Chebyshev pseudospectral method Chebyshev space Chebyshev's sum inequality Chebyshev's theorem (disambiguation) Chebyshev linkage, a straight...
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(1996) A Practical Guide to Pseudospectral Methods. Cambridge University Press, Cambridge, UK Chebyshev and Fourier Spectral Methods by John P. Boyd. Canuto...
13 KB (2,515 words) - 22:44, 8 February 2024
Spectral methods in MATLAB (3rd. repr. ed.). Philadelphia, Pa: SIAM. ISBN 978-0-89871-465-4. Fornberg, Bengt (1996). A Practical Guide to Pseudospectral Methods...
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problem Pseudospectral optimal control Bellman pseudospectral method — based on Bellman's principle of optimality Chebyshev pseudospectral method — uses...
70 KB (8,336 words) - 05:14, 24 June 2024
Galerkin method uses the test functions: w i = ∂ u ∂ a i {\displaystyle w_{i}={\frac {\partial u}{\partial a_{i}}}} The pseudospectral method which uses...
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Fahroo and I. M. Ross, “Direct Trajectory Optimization by a Chebyshev Pseudospectral Method,” Journal of Guidance, Control, and Dynamics, Vol. 25, No....
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Global. Bellman pseudospectral method Chebyshev pseudospectral method Covector mapping principle Fariba Fahroo Flat pseudospectral methods I. Michael Ross...
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method) with Lagrange basis (shape) functions and reduced numerical integration by Lobatto quadrature using the same nodes. The pseudospectral method...
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43.1460S. doi:10.1109/8.477075. Q. H. Liu (1997). "The pseudospectral time-domain (PSTD) method: A new algorithm for solutions of Maxwell's equations"...
63 KB (5,629 words) - 20:34, 27 June 2024
Zhong-Qing (2002). "Chebyshev rational spectral and pseudospectral methods on a semi-infinite interval" (PDF). Int. J. Numer. Methods Eng. 53 (1): 65–84...
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convergence of pseudospectral discretizations of optimal control problems. Ross and his coworkers showed that the Legendre and Chebyshev pseudospectral discretizations...
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Method, A. Taflove and S. C. Hagness, eds., Boston: Artech House, 2005. Tyrrell, J. C. A.; Kinsler, P.; New, G. H. C. (2005-05-10). "Pseudospectral spatial-domain:...
37 KB (4,764 words) - 09:46, 4 June 2024
complex optimal control problems. PROPT uses a pseudospectral Collocation method (with Gauss or Chebyshev points) for solving optimal control problems....
13 KB (1,743 words) - 07:51, 4 August 2024