Results 1 to 10 of about 7,993,545 (283)

Multivariate Divided Differences. I: Basic Properties [PDF]

open access: yesSIAM Journal on Numerical Analysis, 1992
Within the theory of spline functions, there is always great interest in divided differences, since they provide one possibility to define \(B\)- splines, i.e. splines with minimal support. In the paper under consideration, which is part of the author's doctoral thesis, a new type of generalization of the univariate divided differences to the ...
Neamtu, M.
exaly   +5 more sources

Naming Differences in Divided Germany

open access: yesNames, 2009
This article analyzes differences in naming between East and West Germany. After World War II, Germany was split by the allied forces. Two Germanies emerged: the Federal Republic of Germany (FRG) and the German Democratic Republic (GDR).
Denis Huschka   +2 more
doaj   +3 more sources

ON HERMITE INTERPOLATION AND DIVIDED DIFFERENCES [PDF]

open access: yesSurveys in Mathematics and its Applications, 2020
This paper is a survey of topics related to Hermite interpolation. In the first part we present the standard analysis of the Hermite interpolation problem. Existence, uniqueness and error formula are included.
François Dubeau
doaj   +2 more sources

On the divided differences

open access: yesJournal of Numerical Analysis and Approximation Theory, 1974
Not available.
M. Balázs
doaj   +4 more sources

A certain ( p , q ) $(p,q)$ -derivative operator and associated divided differences

open access: yesJournal of Inequalities and Applications, 2016
Recently, Sofonea (Gen. Math. 16:47-54, 2008) considered some relations in the context of quantum calculus associated with the q-derivative operator D q $D_{q}$ and divided difference. As applications of the post-quantum calculus known as the ( p , q ) $(
Serkan Araci   +3 more
doaj   +3 more sources

An integral-free representation of the Dyson series using divided differences

open access: yesNew Journal of Physics, 2021
The Dyson series is an infinite sum of multi-dimensional time-ordered integrals, which serves as a formal representation of the quantum time-evolution operator in the interaction-picture.
Amir Kalev, Itay Hen
doaj   +1 more source

Divided differences of implicit functions [PDF]

open access: yesMathematics of Computation, 2011
Under general conditions, the equation g ( x , y )
Georg Muntingh, Michael S. Floater
openaire   +2 more sources

Extended Seventh Order Derivative Free Family of Methods for Solving Nonlinear Equations

open access: yesMathematics, 2023
A plethora of applications from Computational Sciences can be identified for a system of nonlinear equations in an abstract space. These equations are mostly solved with an iterative method because an analytical method does not exist for such problems ...
Ramandeep Behl   +3 more
doaj   +1 more source

Symbolic computation of divided differences [PDF]

open access: yesACM SIGSAM Bulletin, 1999
Divided differences are enormously useful in developing stable and accurate numerical formulas. For example, programs to compute f ( x )- f ( y ) as might occur in integration, can be notoriously inaccurate.
William Kahan, Richard J. Fateman
openaire   +2 more sources

Gauss–Newton–Secant Method for Solving Nonlinear Least Squares Problems under Generalized Lipschitz Conditions

open access: yesAxioms, 2021
We develop a local convergence of an iterative method for solving nonlinear least squares problems with operator decomposition under the classical and generalized Lipschitz conditions. We consider the case of both zero and nonzero residuals and determine
Ioannis K. Argyros   +4 more
doaj   +1 more source

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