Heuristic regularization methods for numerical differentiation

Authors:
Dinh Nho Hío;La Huu Chuong;D. Lesnic
Affiliations:
Hanoi Institute of Mathematics, 18 Hoang Quoc Viet Road, Hanoi, Viet Nam and Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, UK;Hanoi Institute of Mathematics, 18 Hoang Quoc Viet Road, Hanoi, Viet Nam;Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, UK
Venue:
Computers & Mathematics with Applications
Year:
2012

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Abstract

In this paper, we use smoothing splines to deal with numerical differentiation. Some heuristic methods for choosing regularization parameters are proposed, including the L-curve method and the de Boor method. Numerical experiments are performed to illustrate the efficiency of these methods in comparison with other procedures.