Differentiation by integration with Jacobi polynomials

Journal of Computational and Applied Mathematics

Volumn 235, Issue 9, 2011, Pages 3015-3032

  Liu, Da Yan ^a,b   Gibaru, Olivier ^a,c   Perruquetti, Wilfrid ^a,d  

^a INRIA   (France)

^b UNIVERSITÉ LILLE 1   (France)

^c ARTS ET MÉTIERS PARISTECH   (France)

^d ECOLE CENTRALE DE LILLE   (France)

Author keywords

Ill posed problems; Jacobi orthogonal polynomials; Numerical differentiation; Orthogonal series

Indexed keywords

ALGEBRAIC APPROACHES; BIAS ERROR; CONVERGENCE RATES; DERIVATIVE ESTIMATION; ILL POSED PROBLEM; INTEGRATION METHOD; INTEGRATION WINDOW; JACOBI ORTHOGONAL POLYNOMIALS; JACOBI POLYNOMIALS; LANCZOS; NOISE FREE CASE; NOISE LEVELS; NOISY DATA; NUMERICAL DIFFERENTIATION; NUMERICAL EXAMPLE; ORTHOGONAL SERIES; SMOOTH FUNCTIONS; TAYLOR EXPANSIONS;

DIFFERENTIATION (CALCULUS); FOURIER ANALYSIS; INTEGRATION; NUMERICAL METHODS; ORTHOGONAL FUNCTIONS; PROBLEM SOLVING; SPECTROMETRY;

POLYNOMIALS;

EID: 79951517828     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2010.12.023     Document Type: Article

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