Results 1 to 10 of about 4,917,341 (287)

Divided Differences of Implicit Functions [PDF]

open access: yesMathematics of Computation, 2010
Under general conditions, the equation $g(x,y) = 0$ implicitly defines $y$ locally as a function of $x$. In this article, we express divided differences of $y$ in terms of bivariate divided differences of $g$, generalizing a recent result on divided ...
Floater, Michael S., Muntingh, Georg
core   +7 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

Divided Differences

open access: yes, 2004
Starting with a novel definition of divided differences, this essay derives and discusses the basic properties of, and facts about, (univariate) divided differences.Comment: 24 ...
de Boor, C.
core   +6 more sources

Divided Differences of Multivariate Implicit Functions [PDF]

open access: yesBIT Numerical Mathematics, 2012
Under general conditions, the equation $g(x^1, ..., x^q, y) = 0$ implicitly defines $y$ locally as a function of $x^1, ..., x^q$. In this article, we express divided differences of $y$ in terms of divided differences of $g$, generalizing a recent formula
Muntingh, Georg
core   +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

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

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

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

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

Computational Divided Differencing and Divided-Difference Arithmetics [PDF]

open access: yes, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Reps, Thomas W., Rall, Louis B.
openaire   +2 more sources

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