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 ...
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On the approximations of solutions to stochastic differential delay equations with Poisson random measure via Taylor series

Abstract.The subject of this paper is the analytic approximation of solution to stochastic differential delay equations with Poisson jump. We introduce approximate methods for stochastic differential ...

AI learns to build simple equations for complex systems

A research team at Duke University has developed a new AI framework that can uncover simple, understandable rules that govern ...
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Studies on Error Propagation for Certain Nonlinear Approximations to Hyperbolic Equations: Discontinuities in Derivatives

SIAM Journal on Numerical Analysis, Vol. 31, No. 3 (Jun., 1994), pp. 655-679 (25 pages) The accuracy of numerical approximations to piecewise smooth solutions of hyperbolic partial differential ...
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 ...