On stable numerical differentiation

On stable numerical differentiation (1968)

by Alexander G. Ramm , Alexandra , B. Smirnova

Venue:	Mathem. of Computation
Citations:	37 - 20 self

Datum	Value	Source
TITLE	On stable numerical differentiation	INFERENCE
AUTHOR NAME	Alexander G. Ramm	SVM HeaderParse 0.2
AUTHOR NAME	Alexandra	SVM HeaderParse 0.2
AUTHOR NAME	B. Smirnova	SVM HeaderParse 0.2
ABSTRACT	Abstract. A new approach to the construction of finite-difference methods is presented. It is shown how the multi-point differentiators can generate regularizing algorithms with a stepsize h being a regularization parameter. The explicitly computable estimation constants are given. Also an iteratively regularized scheme for solving the numerical differentiation problem in the form of Volterra integral equation is developed. 1.	SVM HeaderParse 0.2
YEAR	1968	INFERENCE
VENUE	Mathem. of Computation	INFERENCE
VENUE TYPE	JOURNAL	INFERENCE
PAGES	1131--1153	INFERENCE
VOLUME	70	INFERENCE
CITATIONS	29 found	ParsCit 1.0