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Divided differences

Known as: Divided difference 
In mathematics, divided differences is an algorithm, historically used for computing tables of logarithms and trigonometric functions. Charles… 
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Related topics

Related topics

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AlgorithmB-splineDifference engineDifference quotient

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2010
2010
On Modified Divided Differences I
Although divided differences of a function are of basic importance in the theory of numerical analysis, they are not nearly as… 
2007
2007
ON A QUADRATICALLY CONVERGENT ITERATIVE METHOD USING DIVIDED DIFFERENCES OF ORDER ONE
We introduce a new two-point iterative method to approximate solutions of nonlinear operator equations. The method uses only… 
2006
2006
Expressions of Hermite interpolation polynomials as divided differences with applications
Expansion of a divided difference is a very important analytical tool.But it seems that the underlying techniques have been long… 
2000
2000
On Combining Computational Differentiation and Toolkits for Parallel Scientific Computing
Automatic differentiation is a powerful technique for evaluating derivatives of functions given in the form of a high-level… 
2000
2000
Orthogonal divided differences and Schubert polynomials, P̃-functions, and vertex operators.
We give several new formulas which are useful for Schubert Calculus associated with the orthogonal groups and related orthogonal… 
1998
1998
Shape preserving $C^2$ interpolatory subdivision schemes
Stationary interpolatory subdivision schemes which preserve shape properties such as convexity or monotonicity are constructed… 
1994
1994
THE GENERALIZATIONS OF NEWTON'S INTERPOLATION FORMULA DUE TO M ¨ UHLBACH AND ANDOYER
Newton's formula for constructing the interpolation polynomial is well{known. It makes use of divided dierences. It was… 
1986
1986
Existence of best $n$-convex approximations
We prove that every function f, continuous on a compact interval [a, bi, has a continuous, best n-convex approximation with… 
1980
1980
Accurate Computation of Divided Differences.
Abstract : The standard recurrence scheme does not always yield accurate divided differences in finite precision arithmetic. When… 
1962
1962
An Algorithm for the Numerical Application of a Linear Operator
The use of iterative procedures for interpolation is well-known. In this paper an iterative procedure, that may be used to… 
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