# Math 405/607E 2015 W1: Numerical Methods for Differential Equations

- Instructor
- Colin Macdonald
- Email:
- cbm[at]math[dot]ubc[dot]ca
- Office
- LSK 303c
- Lectures:
- Tu/Th 14:00–15:20 at MAT104
- Office Hours
- M 12:15–13:00, Th 10:00–11:00, F 12:30–13:45

(subject to change, check this page for updates)

Also by appointment.
- Midterm:
**Thursday 22 October 2015**

## Week 1

Outline

lec01.pdf

## Week 2

lec02_newton.pdf

Assignment 1 is out.
And has been revised.

github.com/cbm755/math607:
Some demo code here. And feel free to edit/correct the lecture
notes (some of them anyway).

(Note that this github project is public: if you create an
account and make changes, those will be public. Also Github is a
for-profit company running non-free software. If you're uncomfortable
with any of this, please let me know and we'll discuss alternative
arrangements.)

Lecture notes on interpolation.

## Week 3, 4

Lecture notes on quadrature and composite quadrature.

Lecture notes: intro to finite differences.

## Week 5

Assignment 2 is out.

Reminder: demos from lecture available at github.

Lecture notes on introduction to initial value problems. Demos posted on github.

Homework 1 solutions: available here (with password).

## Week 6

More lecture notes on initial value problems: 07b_ivp.pdf.

## Week 7

Assignment 3.

## Week 8

Topic 8 notes:
08_pdes_mol.pdf,
08b_imex.pdf,
08c_2d_pdes.pdf.

Assignment 4.
Part of HW4 involves the fdmatrices repo on github.

Demos updated on github...

Homework 2 solutions: available here.

## Week 9

Homework 3 solutions: available here.

Lecture notes on Floating Point.

## Week 10, 11

Homework 5 available. AND NOW UPDATED: hw5rev1.pdf.

Lecture notes on numerical linear algebra:
10a,
10b,
10c.

## Week 12, 13

Lecture notes:
11_eigenvalues,
12_svd,
13_spectral,
14_fem.

There are many excellent FEM software packages. We looked at
FEniCS
(see their Python
demos).

Copyright © 2015 Colin Macdonald.

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