An adaptive least-squares collocation radial basis function method for the HJB equation-Reference-Cited by-同舟云学术

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An adaptive least-squares collocation radial basis function method for the HJB equation

Published:2011-02-06 Issue:2 Volume:52 Page:305-322
ISSN:0925-5001
Container-title:Journal of Global Optimization
language:en
Short-container-title:J Glob Optim

Author:

Alwardi H.,Wang S.,Jennings L. S.,Richardson S.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Management Science and Operations Research,Control and Optimization,Computer Science Applications

Link

http://link.springer.com/content/pdf/10.1007/s10898-011-9667-4.pdf

Reference27 articles.

1. Bardi M., Capuzzo-Dolcetta I.: Optimal Control and Viscosity Solutions of Hamilton–Jacobi–Bellman equations. Birlhauser, Boston (1997)

2. Behrens J., Iske A.: Grid-free adaptive semi-Lagrangian advection using radial basis functions. Comput. Math. Appl. 43(3–5), 319–327 (2002)

3. Behrens J., Iske A., Kaser M.: Adaptive meshfree method of backward characteristics for nonlinear transport equations, Meshfree methods for partial differential equations (Bonn, 2001). Lect. Notes Comput. Sci. Eng. 26, 21–36 (2003)

4. Buhman M.D.: Radial Basis Functions: Theory and Implementations, Cambridge Monographs on Applied and Computational Mathematics. Cambridge University Press, Cambridge (2003)

5. Carlson R.E., Foley T.A.: The parameter $${\mathbb{R}^{2}}$$ in multiquadric interpolation. Comput. Math. Appl. 21, 29–42 (1991)

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5. An adaptive multilevel radial basis function scheme for the HJB equation * *This research work has been partially supported by the INDAM-GNCS project Metodi ad alta risoluzione per problemi evolutivi fortemente nonlineari and by TU Munich and Roma Tre University;IFAC-PapersOnLine;2017-07

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