Find users

Newton’s Method - Numerical Methods and Computing - Old Exam Paper

Exams, Numerical Methods

Post: March 28th, 2013
Description
Main points of this past exam are: Newton’s Method, Fortran Program, Rate of Convergence, System of Linear Equations, Lagrange Interpolation, Newton-Gregory Interpolating Polynomial, 3rd Degree Divided Difference, Central Difference Formulae
Main points of this past exam are: Newton’s Method, Fortran Program, Rate of Convergence, System of Linear Equations, Lagrange Interpolation, Newton-Gregory Interpolating Polynomial, 3rd Degree Divided Difference, Central Difference Formulae
-
Embed this document

Report Report

Reason:

Send Message

Login or register to download this document!

If you are already registered, login otherwise Register , it just takes 1 minute!

Uploaded by:

shona

shona
Universityuni_5documents_15doc_answ
Embed this document
Get the App
Contents
Cork Institute of Technology Bachelor of Engineering in Structural Engineering-Stage 2 (CSTRU_8_Y2) Summer 2009 Numerical Methods and Computing II Legacy exam (Time: 3 Hours) Instructions Answer any four questions. All questions carry equal marks. Examiners: Dr. T. Creedon Dr. P. Robinson Q1. (a) Describe any two of the following methods for obtaining roots of an equation: (i) Bisection (ii) False-Position (iii) Newton (8 marks) (b) Write a FORTRAN program for locating single roots using one of the methods in part (a). (7 marks) (c) Suppose f ( x ) = 0 has a single root. Show that if f ( x ) and its derivatives are ( x) interval, then Newton’s method converges to the root. continuous on an interval about the root and f ( x ) f '' ( x ) (f ' ) 2 < 1 for all x in this (7 marks) (d) Illustrate using a suitable example an equation with multiple roots. Describe the modified Newton’s method for obtaining multiple roots. (3 marks) Q2. (a) Describe the Gauss Seidel method for so..

Docsity.com

Learning becomes social!

Authentication required

This feature is reserved for registered user

Register Login

Docsity.com

Learning becomes social!

Authentication required

Hi!
In order to freely download all the documents on Docsity, please register or login:

Register Login