搜索结果: 1-7 共查到“数学 Differentiation”相关记录7条 . 查询时间(0.053 秒)
Computing Periodic Orbits and their Bifurcations with Automatic Differentiation
Automatic Differentiation Computing Periodic Orbits
2015/8/25
This paper examines algorithms for computing periodic orbits of dynamical systems. Our
goal is to explore the limits of accuracy that are attainable for these calculations within
the pragmatic conte...
ON FUNCTIONAL DECOMPOSITION OF MULTIVARIATE POLYNOMIALS WITH DIFFERENTIATION AND HOMOGENIZATION
Cryptosystem analysis functional decomposition homogeneous polynomials multivariate polynomial right factor space
2013/9/9
This paper gives a theoretical analysis for the algorithms to compute functional decomposition for multivariate polynomials based on differentiation and homogenization which were proposed by Ye, Dai, ...
Differentiation by integration with Jacobi polynomials
Numerical differentiation Ill-pose problems Jacobi orthogonal polynomials Orthogonal series
2011/2/28
In this paper, the numerical differentiation by integration method based on Jacobi polynomials originally introduced by Mboup, Fliess and Join [20, 21] is revisited in the central case where the used ...
A Structured Population Model of Cell Differentiation
Structured population dynamics transport equation stem cells cell differentiation
2011/1/18
We introduce and analyze several aspects of a new model for cell differentiation.It assumes that differentiation of progenitor cells is a continuous process. From the mathematical point of view, it is...
Applications of the quadratic covariation differentiation theory: variants of the Clark-Ocone and Stroock's formulas
the quadratic covariation differentiation theory the Clark-Ocone and Stroock's formulas
2010/11/11
In a 2006 article (\cite{A1}), Allouba gave his quadratic covariation differentiation theory for It\^o's integral calculus. He defined the derivative of a semimartingale with respect to a Brownian mo...
Higher-order derivatives of the QR and of the real symmetric eigenvalue decomposition in forward and reverse mode algorithmic differentiation
univariate Taylor polynomial arithmetic higher-order derivatives QR decomposition real symmetric eigenvalue decomposition
2010/12/15
We address the task of higher-order derivative evaluation of computer programs that contain QR
decompositions and real symmetric eigenvalue decompositions. The approach is a combination of univariate...
Approximation, Numerical Differentiation and Integration Based on Taylor Polynomial
Degree of approximation Taylor polynomial $P_n$-simple functionals least concave majorant of $omega(f,cdot)$
2010/1/22
We represent new estimates of errors of quadrature formula, formula of numerical differentiation and approximation using Taylor polynomial. To measure the errors we apply representation of the remaind...