AbstractIn this note, we show that the central difference formula for approximating f′(0) using the information {f(jh): −r ⩽j ⩽r} has maximal order of accuracy among all algorithms using this information. The technique used is an adaptation of the order-of-information approach of Wozniakowski
In this paper we propose a class of central difference schemes for resolving the Caputo fractional d...
In this lesson you'll learn about how to approximate derivatives using the High Accuracy centered fi...
: We prove that the well known Lp -error estimates for radial basis function interpolation are optim...
AbstractIn this note, we show that the central difference formula for approximating f′(0) using the ...
Abstract. The traditional numerical computation of the first derivative f ′(x) of a given function f...
In this article we consider the problem of computing approximations to the second derivatives of fun...
AbstractThe error of the best approximation of functions ƒ ϵ H∞ on the basis of given Hermitian data...
AbstractA new type of Taylor series based finite difference approximations of higher-degree derivati...
An approximation of function u(x) as a Taylor series expansion about a point x0 at M points xi, ∼i =...
AbstractA numerical method for estimating accurate first derivative, f′(x), of a function, f(x) is p...
AbstractWe study algorithms for the approximation of functions, the error is measured in an L2 norm....
This paper proposes accurate and robust algorithms for approximating variable order fractional deri...
The corrected quadrature rules are considered and the estimations of error involving the second deri...
Explicit formulas for the coefficients of nite difference approximations of first and higher derivat...
A variety of strategies are used to construct algorithms for solving equations. However, higher orde...
In this paper we propose a class of central difference schemes for resolving the Caputo fractional d...
In this lesson you'll learn about how to approximate derivatives using the High Accuracy centered fi...
: We prove that the well known Lp -error estimates for radial basis function interpolation are optim...
AbstractIn this note, we show that the central difference formula for approximating f′(0) using the ...
Abstract. The traditional numerical computation of the first derivative f ′(x) of a given function f...
In this article we consider the problem of computing approximations to the second derivatives of fun...
AbstractThe error of the best approximation of functions ƒ ϵ H∞ on the basis of given Hermitian data...
AbstractA new type of Taylor series based finite difference approximations of higher-degree derivati...
An approximation of function u(x) as a Taylor series expansion about a point x0 at M points xi, ∼i =...
AbstractA numerical method for estimating accurate first derivative, f′(x), of a function, f(x) is p...
AbstractWe study algorithms for the approximation of functions, the error is measured in an L2 norm....
This paper proposes accurate and robust algorithms for approximating variable order fractional deri...
The corrected quadrature rules are considered and the estimations of error involving the second deri...
Explicit formulas for the coefficients of nite difference approximations of first and higher derivat...
A variety of strategies are used to construct algorithms for solving equations. However, higher orde...
In this paper we propose a class of central difference schemes for resolving the Caputo fractional d...
In this lesson you'll learn about how to approximate derivatives using the High Accuracy centered fi...
: We prove that the well known Lp -error estimates for radial basis function interpolation are optim...