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
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: 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: 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
# -*- coding: utf-8 -*"
Created on Tue Sep 10 13:01:35 2013
@author: Shipeng
"
import numpy as np
import scipy as sp
import matplotlib.pyplot as plt
from copy import copy
import scipy.linalg as la
N = 500
d0 = 0.0
d1 = 0.0
d2 = 0.0
for a in range(N):
n =
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
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 / 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
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.
Numerical Analysis
Linear Systems
Andreas Kloeckner [email protected]
Base slides c Michael T. Heath
CS 450 January 29, 2014
LA recap Norms Conditioning Special Gauss/LU Precon. Pivot Cost
Goal for chapter 2
Understand solving linear systems
as a nume
CS 450: Homework #3
Numerical Analysis Spring 2012
Luke Olson : 9:00am - 9:50am MWF
Due on February 29, 2011
A homework submission guideline is available on the course website at
https:/wiki.engr.illinois.edu/display/cs450sp12/Information
All submissions
CS450: Numerical Analysis
Spring 2015
Homework 5
University of Illinois, UrbanaChampaign, Prof. Paul Fischer
Due: April 8, 2015, 5.00 pm. Submit PDF + code les on Moodle.
Problem 1: (15 points)
Given the three data points (-1, 1), (0, 0), (1, 1), determin
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 7
University of Illinois, UrbanaChampaign, Prof. Paul Fischer
Due: May 6, 2015, 5.00 pm. Submit PDF + code les on Moodle.
Problem 1 (with computer): (30 points)
An important problem in classical mechanics is
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
Fall 2014
Homework 7
University of Illinois, UrbanaChampaign, Prof. Michael Heath
Due: December 10, 2014, 5.00 pm. Submit PDF + code les on Moodle.
Problem 1: (25 points)
Consider a restricted form of the three-body problem in wh
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
CS 450: Homework #5 (Solutions)
Numerical Analysis Spring 2012
Luke Olson : 9:00am - 9:50am MWF
Due on April 4, 2011
A homework submission guideline is available on the course website at
https:/wiki.engr.illinois.edu/display/cs450sp12/Information
All subm
CS 450: Homework #1 (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
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.
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
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 #2
Numerical Analysis Spring 2012
Luke Olson : 9:00am - 9:50am MWF
Due on February 15, 2012
A homework submission guideline is available on the course website at
https:/wiki.engr.illinois.edu/display/cs450sp12/Information
All submissions
# -*- coding: utf-8 -*"
Created on Tue Oct 22 22:15:33 2013
@author: Shipeng
"
# -*- coding: utf-8 -*"
Created on Sun Oct 20 16:14:39 2013
@author: Administrator
"
import numpy as np
import scipy as sp
import matplotlib.pyplot as plt
from math import *
de
CS 450 / MATH 450 /
CSE 401 / ECE 491
Fall 2013
Numerical Analysis Homework 5
Instructor: Luke Olson
University of Illinois at Urbana-Champaign
Due: 12/04/2013
5:00 PM
Submission Notes:
Each problem should have a clear and concise write-up.
Refer to any
Partial Differential Equations
Numerical Methods for PDEs
Sparse Linear Systems
Outline
1
Partial Differential Equations
2
Numerical Methods for PDEs
3
Sparse Linear Systems
Michael T. Heath
Scientific Computing
2 / 105
Partial Differential Equations
Nume
Boundary Value Problems
Numerical Methods for BVPs
Outline
1
Boundary Value Problems
2
Numerical Methods for BVPs
Michael T. Heath
Scientific Computing
2 / 45
Boundary Value Problems
Numerical Methods for BVPs
Boundary Values
Existence and Uniqueness
Cond