On derivative estimation and the solution of least squares problems

Journal of Computational and Applied Mathematics

Volumn 222, Issue 2, 2008, Pages 511-523

  Belward, John A ^a   Turner, Ian W ^b   Ilić, Miloš ^b  

^a UNIVERSITY OF QUEENSLAND   (Australia)

^b QUEENSLAND UNIVERSITY OF TECHNOLOGY   (Australia)

Author keywords

Derivative estimation; Heat transfer and diffusion; Plant architecture; Surface approximation

Indexed keywords

CURVE FITTING; DIFFERENCE EQUATIONS; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); FINITE VOLUME METHOD; GEODESY; GRADIENT METHODS; LEAST SQUARES APPROXIMATIONS; PARTIAL DIFFERENTIAL EQUATIONS; RESTORATION;

DERIVATIVE ESTIMATION; HEAT TRANSFER AND DIFFUSION; PLANT ARCHITECTURE; SURFACE APPROXIMATION;

SURFACE RECONSTRUCTION;

EID: 53449099043     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2007.11.022     Document Type: Article

References (14)

1. M. Breslin, Spatial interpolation and fractal analysis applied to rainfall data, Ph.D. Thesis, Department of Mathematics, University of Queensland, 2001
2. Godin C. Representing and encoding plant architecture: A review. Ann. For. Sci. 57 (2000) 413-438
3. Jayantha P.A., and Turner I.W. A comparison of gradient approximations for use in finite volume computational models for two dimensional differential equations. Numer. Heat Transfer Part B: Fundamentals 40 (2001) 367-390
4. Jayantha P.A., and Turner I.W. A second order finite volume technique for simulating transport in anisotropic media. The Int. J. Numer. Methods Heat Fluid Flow 13 (2003) 31-56
5. Lancaster P., and Salkauskas K. Surfaces generated by moving least squares methods fitting. Math. Comp. 37 (1981) 141-158
6. Lancaster P., and Salkauskas K. Curve and Surface Fitting, An Introduction (1986), Academic Press, San Diego
7. Levin D. The power of moving least-squares. Math. Comp. 67 (1998) 1517-1531
8. Levin D. In: Brunnett, Hamann, and Mueller (Eds). Geometric Modeling for Scientific Visualization (2003), Springer-Verlag pp. 37-49
9. Ling L. Finding numerical derivatives for unstructured and noisy data by multiscale kernels. SIAM J. Numer. Anal. 44 (2006) 1780-1800
10. B.I. Loch, Surface fitting for the modelling of plant leaves, Ph.D. Thesis, Department of Mathematics, University of Queensland, July, 2004
11. Özişik M.N. Heat Conduction (1980), Wiley, New York
12. Powell M.J.D. A review of methods for multivariable interpolation at scattered data points. In: Duff I.S., et al. (Ed). The State of the Art in Numerical Analysis (1997), Clarendon Press, Oxford 283-310
13. P. Prusinkiewicz, L. Mundermann, R. Karwowski, B. Lane, The use of positional information in the modeling of plants, in: Proceedings of SIGGRAPH, 2001
14. Truscott S., and Turner I.W. An investigation of the accuracy of the control volume finite element method based on triangular prismatic finite elements for simulating diffusion in anisotropic media. Numer. Heat Transfer Part B: Fundamentals 46 (2004) 243-268