Faculty of Engineering
University of Windsor
85-220 Numerical Analysis for Engineering
2016 Winter
Lab Assignment 7Splines and Integration
Solutions
Assigned:
Due:
Lab week of March 14March 17
In your lab
Note: (1) Make sure you sign the attendance sheet.
Faculty of Engineering
University of Windsor
85-220 Numerical Analysis for Engineering
2016 Winter
Lab Assignment 5
Assigned:
Due:
Lab week of February 2225
In your lab
Note: (1) Make sure you sign the attendance sheet. You will not get credit for attenda
Faculty of Engineering
University of Windsor
85-220 Numerical Analysis for Engineering
2016 Winter
Lab Assignment 5Solutions
Assigned:
Due:
Lab week of February 2225
In your lab
Note: (1) Make sure you sign the attendance sheet. You will not get credit fo
Faculty of Engineering
University of Windsor
85-220 Numerical Analysis for Engineering
2016 Winter
Lab Assignment 8Integration and Differentiation
Assigned:
Due:
Lab week of March 21March 24
In your lab
Note: (1) Due to the Study Day on the 24th, this lab
Faculty of Engineering
University of Windsor
85-220 Numerical Analysis for Engineering
2016 Winter
Lab Assignment 7Splines and Integration Interpolation
Assigned:
Due:
Lab week of March 14March 17
In your lab
Note: (1) Make sure you sign the attendance sh
Faculty of Engineering
University of Windsor
85-220 Numerical Analysis for Engineering
2016 Winter
Lab Assignment 2
Assigned:
Due:
Lab week of January 2528
In your lab
Note: (1) Make sure you sign the attendance sheet. You will not get credit for attendan
Faculty of Engineering
University of Windsor
85-220 Numerical Analysis for Engineering
2016 Winter
Lab Assignment 6Polynomial Interpolation
Assigned:
Due:
Lab week of February 29March 3
In your lab
Note: (1) Make sure you sign the attendance sheet. You wi
Faculty of Engineering
University of Windsor
85-220 Numerical Analysis for Engineering
2016 Winter
Lab Assignment 4
Assigned:
Due:
Lab week of February 811
In your lab
Note: (1) Make sure you sign the attendance sheet. You will not get credit for attendan
Faculty of Engineering
University of Windsor
85-220 Numerical Analysis for Engineering
2016 Winter
Lab Assignment 9 Differentiation Equations with Class
Assigned:
Due:
Lab week of March 28March 31
In your lab
Note: (1) Make sure you sign the attendance sh
Faculty of Engineering
University of Windsor
85-220 Numerical Analysis for Engineering
2016 Winter
Lab Assignment 4Solutions
Assigned:
Due:
Lab week of February 811
In your lab
Note: (1) Make sure you sign the attendance sheet. You will not get credit for
Faculty of Engineering
University of Windsor
85-220 Numerical Analysis for Engineering
2016 Winter
Lab Assignment 9Differentiation Equations with Class
PART A: Calculator
1)
1
2
3
PART B: MATLAB Commands
2)
t =
> x = [0:.25:1];
> y = [1 1.25 1.8090 2.8178
Faculty of Engineering
University of Windsor
85-220 Numerical Analysis for Engineering
2016 Winter
Lab Assignment 10 Differentiation Equations
Assigned:
Due:
Lab week of April 4April 7
In your lab
Note: (1) This assignment will not be marked by the GAs no
Faculty of Engineering
University of Windsor
85-220 Numerical Analysis for Engineering
2016 Winter
Lab Assignment 1
Assigned:
Due:
Lab week of January 1822
In your lab
Note: (1) Make sure you sign the attendance sheet. You will not get credit for attendan
Faculty of Engineering
University of Windsor
85-220 Numerical Analysis for Engineering
2016 Winter
Lab Assignment 3
Assigned:
Due:
Lab week of February 14
In your lab
Note: (1) Make sure you sign the attendance sheet. You will not get credit for attendanc
The resistance to flow in a pipe is parameterized by a dimensionless number
called the friction factor f: For turbulent flow, the Colebrook equation
provides a means to calculate the friction factor:
1
2.51
2 log
f
3.7 D Re f
where = the roughness (m)
Goals of this lecture is to learn:
How to use Gauss-Seidel and Jacobi methods
What the diagonal dominance is
How relaxation can improve the convergence of
the iterative scheme
How to solve systems of nonlinear equation
using Newton-Raphson method
Gaus
Goals of this lecture is to learn:
Understanding what roots problems are and
where they occur in engineering
Learning how to determine a root graphically
Knowing how to solve a root problem with
bisection method
A paratrooper leaps from a
stationary ho
Goals of this lecture is to learn:
How to use Cramers rule
How to implement forward elimination and
backward substitution as in Gauss elimination
The concepts of singularity and ill-conditioning
How to implement partial pivoting
How to obtain efficie
3/26/2013
Goals of this lecture is to learn:
The difference between the initial value
problem and boundary value problem
How to implement Shooting method to
solve the boundary value problem
How to implement finite difference method
1
3/26/2013
A thin l
Goals of this lecture is to learn:
How to implement the following single
application Newton-Cotes formulas
Trapezoidal rule, Simpsons 1/3 rule, Simpsons 3/8
rule
How to implement the following composite
Newton-Cotes formulas
Trapezoidal rule, Simpsons
Goals of this lecture is to learn:
How to determine a root using NewtonRaphson method
How to solve a root problem with secant and
modified secant method
How to use MATLAB fzero function to estimate
roots
How to determine the roots of polynomials with
3/21/2013
Goals of this lecture is to learn:
How to implement the following RungeKutta(RK) methods for a single ODE
Euler
Heun
Midpoint
Fourth-Order RK
How to implement the following RungeKutta(RK) methods for systems of ODE
Euler
Fourth-Order RK
1
3/
2/14/2013
Goals of this lecture is to learn:
How to compute the slop and intercept of a
best fit straight line with linear regression
How to linearize nonlinear equation so that they
can be fit with linear regression
How to implement linear regression
Goals of this lecture is to learn:
Perform matrix operations and being able
assess when it is feasible
How to represent a system of linear algebraic
equations in matrix form
How to solve linear algebraic equations with left
division and matrix inversio
85-220
Numerical Analysis for Engineering
Vesselin Stoilov
Department of Mechanical Automotive and Materials Engineering
University of Windsor
Winter 2015
Dr. Vesselin Stoilov, Associate Professor
responsable for lectures, tutorials, examinassions, and
fi
2/6/2013
A coating on a panel surface is cured by radiant energy from the
heater as shown in Figure 1. The temperature of the coating is
determined by radiative and convective heat transfer processes. If
the radiation is treated as diffuse and gray, the f
Goals of this lecture is to learn:
How to implement polynomial interpolation
How to implement inverse polynomial
interpolation
How to implement spline interpolation
Waters dynamic viscosity (10-3Ns/m2) is
related to temperature T(C) in the following
ma