CS 450: Homework #7
Numerical Analysis Spring 2012
Luke Olson : 9:00am - 9:50am MWF
Due on May 2, 2011
A homework submission guideline is available on the course website at
https:/wiki.engr.illinois.edu/display/cs450sp12/Information
All submissions must c
CS 450: Homework #6 (Solutions)
Numerical Analysis Spring 2012
Luke Olson : 9:00am - 9:50am MWF
Due on April 18, 2011
A homework submission guideline is available on the course website at
https:/wiki.engr.illinois.edu/display/cs450sp12/Information
All sub
CS 450 / MATH 450 /
CSE 401 / ECE 491
Fall 2013
Numerical Analysis Homework 1
Instructor: Luke Olson
University of Illinois at Urbana-Champaign
Due: 09/20/2013
5:00 PM
Submission Notes:
Each problem solution should be submitted in a separate PDF le.
Eac
CS 450 / MATH 450 /
CSE 401 / ECE 491
Fall 2013
Numerical Analysis Homework 1 Solution
Instructor: Luke Olson
University of Illinois at Urbana-Champaign
Due: September
21, 2013
Problem 1 [6pt] The sine function is given by the innite series
sin(x) = x
x3
CS 450: Homework #7 (Solutions)
Numerical Analysis Spring 2012
Luke Olson : 9:00am - 9:50am MWF
Due on May 2, 2011
A homework submission guideline is available on the course website at
https:/wiki.engr.illinois.edu/display/cs450sp12/Information
All submis
CS450: Numerical Analysis
Spring 2015
Homework 6
University of Illinois, UrbanaChampaign, Prof. Paul Fischer
Due: April 22, 2015, 5.00 pm. Submit PDF + code les on Moodle.
Problem 1 (with computer): (25 points)
Using
Romberg Integration
Gauss Quadrature
CS 450 / MATH 450 /
CSE 401 / ECE 491
Fall 2013
Numerical Analysis Homework 3
Instructor: Luke Olson
University of Illinois at Urbana-Champaign
Due: 10/25/2013
5:00 PM
Submission Notes:
Each problem should have a clear and concise write-up.
Refer to any
CS 450: Homework #2 (Solutions)
Numerical Analysis Spring 2012
Luke Olson : 9:00am - 9:50am MWF
A homework submission guideline is available on the course website at
https:/wiki.engr.illinois.edu/display/cs450sp12/Information
All submissions must conform
CS 450 / MATH 450 /
CSE 401 / ECE 491
Fall 2013
Numerical Analysis Homework 2
Instructor: Luke Olson
University of Illinois at Urbana-Champaign
Due: 10/04/2013
5:00 PM
Submission Notes:
Each problem solution should be submitted in a separate PDF le.
Eac
CS450: Numerical Analysis
Spring 2015
Homework 4
University of Illinois, UrbanaChampaign, Prof. Paul Fischer
Due: March 20, 2015, 5.00 pm. Submit PDF + code les on Moodle.
Problem 1 (By hand): (10 points)
Consider the nonlinear equation
f (x) = x2 2 = 0.
C8450, Spring 2011, Midterm
1. Why is it desirable to use a stable algorithm in numerical computation?
It will improve the conditioning of the underlying problem.
(a
(b
)
) It will always produce accurate results.
(c) It is relatively insensitive to
CS 450: Homework #6
Numerical Analysis Spring 2012
Luke Olson : 9:00am - 9:50am MWF
Due on April 18, 2011
A homework submission guideline is available on the course website at
https:/wiki.engr.illinois.edu/display/cs450sp12/Information
All submissions mus
CS450: Numerical Analysis
Spring 2015
Homework 3
University of Illinois, UrbanaChampaign, Prof. Paul Fischer
Due: March 4th, 2015, 5.00 pm. Submit PDF + code les on Moodle.
Problem 1: (20 points)
Let
1 4
1 1
A=
Your answers to the following questions shou
CS 450: Homework #4
Numerical Analysis Spring 2012
Luke Olson : 9:00am - 9:50am MWF
Due on March 14, 2011
A homework submission guideline is available on the course website at
https:/wiki.engr.illinois.edu/display/cs450sp12/Information
All submissions mus
Class Schedule:
Four Credit Hour Project
Due Monday, May 11, 5 PM
Eigenvalues, Continuous and Discrete
One of the great features of finite difference methods is that one can
readily compute the eigenvalues of the discrete operators and thus
understand th
Class Schedule:
Project for 4-Credit Hour Students Due, Last Lecture Day
1. Write a conjugate gradient solver to solve the sparse linear system Aq = f , where A is the
symmetric-positive-denite (SPD) system that arises from a 5-point nite-dierence approxi
Class Schedule:
Project for 4-Credit Hour Students Due, Last Lecture Day
New Notes for Project are posted on piazza
Boundary Value Problems
Numerical Methods for BVPs
Scientic Computing: An Introductory Survey
Chapter 10 Boundary Value Problems for
Ordin
Class Schedule:
Project for 4-Credit Hour Students Due, Last Lecture Day
1. Write a conjugate gradient solver to solve the sparse linear system Aq = f , where A is the
symmetric-positive-denite (SPD) system that arises from a 5-point nite-dierence approxi
Numerical Analysis
/
Scientic Computing
CS 450/ECE 491 - Spring 2016
1 Introduction to Scientic Computing
What's the point of this class?
`Scientic Computing' describes a family of approaches to obtain approximate solutions to problems.
.once they've been