Simon Fraser University

Section 3.5 Linear Approximation and Newton's Method

The circumference of a sphere is measured to be 24 cm, with a possible error of 0.25 cm. Use the differential \(dV\) to estimate the maximum error in the calculated ...
Simon Fraser University

Exercises 3.5 Linear Approximation and Newton's Method

The area \(A\) of a square of side length \(s\) is \(A=s^2\text{.}\) Suppose \(s\) increases by an amount \(\Delta s=ds\text{.}\) Draw a square and then illustrate ...
JSTOR Daily

A Linear Remes-Type Algorithm for Relative Error Approximation

This is a preview. Log in through your library . SIAM Journal on Numerical Analysis contains research articles on the development and analysis of numerical methods ...
IEEE

Novel Low-Power Floating-Point Divider With Linear Approximation and Minimum Mean Relative Error

Abstract: Floating-point division involves the computation of the ratio (1 + Mx)/(1 + My), where Mx and My represents the mantissas of the input values. In this paper, we propose a new method for ...
JSTOR Daily

A PRIORI ERROR ESTIMATES FOR THE FINITE ELEMENT APPROXIMATION OF WESTERVELT'S QUASI-LINEAR ACOUSTIC WAVE EQUATION

SIAM Journal on Numerical Analysis, Vol. 57, No. 4 (2019), pp. 1897-1918 (22 pages) We study the spatial discretization of Westervelt's quasi-linear strongly damped wave equation by piecewise linear ...
IEEE

Error-Free Approximation of Explicit Linear MPC Through Lattice Piecewise Affine Expression

Abstract: In this article, the disjunctive and conjunctive lattice piecewise affine (PWA) approximations of explicit linear model predictive control (MPC) are proposed. Training data consisting of ...
Frontiers

Research on error control method for polynomial approximation based on equal amplitude oscillation theorem

1 Warwick Mathematics Institute, The University of Warwick, Coventry, United Kingdom 2 School of Computer and Information Engineering, Luoyang Institute of Science and Technology, Luoyang, China To ...