Add to ORKGSome new formulas are given to approximate higher order derivatives and integrals through Aitken-Neville iterative schemes for arbitrary spaced grids. An algorithm is given in MATLAB for numerical differentiation. Also, numerical examples are provided to study error analysis of new formulas for numerical differentiation and integration
The Taylor series method is one of the earliest analytic-numeric algorithms for approximate solution...
We propose the higher order extension of numerical methods that preserve the energy-diminishing feat...
Grossman and Katz (five decades ago) suggested a new definition of differential and integral calculu...
Some new formulas are given to approximate higher order derivatives and integrals through Aitken-Nev...
Abstract. Some new formulas are given to approximate higher order deriva-tives and integrals through...
AbstractThis paper mainly studies the numerical differentiation by integration method proposed first...
AbstractA new type of Taylor series based finite difference approximations of higher-degree derivati...
Abstract. Forward and reverse modes of algorithmic differentiation (AD) trans-form implementations o...
Recent surveys have revealed that the majority of numerical methods for the solution of integral equ...
This article deals with a high order integration method based on the Taylor series. The paper shows ...
AbstractAdjoint mode algorithmic (also know as automatic) differentiation (AD) transforms implementa...
A general discussion of applying these formulas to the numerical solution of partial differential eq...
Abstract: Numerical approaches of ordinary differential equations (ODEs) usually require Jacobian ev...
AbstractConventional numerical differentiation formulas based on interpolating polynomials, operator...
A variety of strategies are used to construct algorithms for solving equations. However, higher orde...
The Taylor series method is one of the earliest analytic-numeric algorithms for approximate solution...
We propose the higher order extension of numerical methods that preserve the energy-diminishing feat...
Grossman and Katz (five decades ago) suggested a new definition of differential and integral calculu...
Some new formulas are given to approximate higher order derivatives and integrals through Aitken-Nev...
Abstract. Some new formulas are given to approximate higher order deriva-tives and integrals through...
AbstractThis paper mainly studies the numerical differentiation by integration method proposed first...
AbstractA new type of Taylor series based finite difference approximations of higher-degree derivati...
Abstract. Forward and reverse modes of algorithmic differentiation (AD) trans-form implementations o...
Recent surveys have revealed that the majority of numerical methods for the solution of integral equ...
This article deals with a high order integration method based on the Taylor series. The paper shows ...
AbstractAdjoint mode algorithmic (also know as automatic) differentiation (AD) transforms implementa...
A general discussion of applying these formulas to the numerical solution of partial differential eq...
Abstract: Numerical approaches of ordinary differential equations (ODEs) usually require Jacobian ev...
AbstractConventional numerical differentiation formulas based on interpolating polynomials, operator...
A variety of strategies are used to construct algorithms for solving equations. However, higher orde...
The Taylor series method is one of the earliest analytic-numeric algorithms for approximate solution...
We propose the higher order extension of numerical methods that preserve the energy-diminishing feat...
Grossman and Katz (five decades ago) suggested a new definition of differential and integral calculu...