The teaching material on this page is from 2013 and now outdated. Revised material appears in two preliminary books: Finite difference computing with partial differential equations and Introduction to numerical methods for variational problems. For the slides, see revised versions.
Warning.
The teaching material below is produced in various formats for printing and
on-screen reading.
The PDF files are based on LaTeX and have seldom technical failures that cannot be easily corrected. The HTML-based files, called "HTML" and "Sphinx", apply MathJax for rendering LaTeX formulas and sometimes this gives rise to unexpected failures (e.g., incorrect rendering in a web page despite correct LaTeX syntax in the formula). Consult the corresponding PDF file if you find missing or incorrectly rendered formulas in HTML or Sphinx files.
Preliminary notes
Introduction to computing with finite difference methods
- LaTeX PDF for printing:
- HTML:
Scientific software engineering for a simple ODE model
- LaTeX PDF for printing:
- HTML:
Finite difference methods for vibration ODEs
- LaTeX PDF for printing:
- HTML:
Truncation error analysis
- LaTeX PDF for printing:
- HTML:
Finite difference methods for wave motion
- LaTeX PDF for printing:
- HTML:
Introduction to finite element methods
- LaTeX PDF for printing:
- HTML:
FEniCS tutorial version 1.1
PDF for printing and electronic view, Sphinx (one big file), Sphinx (multiple files). This document replaces the official FEniCS tutorial.Solving nonlinear ODE and PDE problems
- LaTeX PDF for printing:
- HTML:
The following documents are from 2012 and will be significantly updated
- Finite difference methods for diffusion equations: LaTeX PDF, plain HTML, solarized HTML, Sphinx
- Preliminary notes on methods for the Navier-Stokes equations: LaTeX PDF, plain HTML, solarized HTML, Sphinx
Study guides (lectures)
The study guides are summaries of the main points in the course material. The guides are made such that they can be used as slides in lectures.Introduction to computing with finite difference methods
- HTML:
- Reveal slide style
- Deck slide style
- plain HTML
- plain HTML in one big file
- solarized style in one big file
- Beamer slides
- PDF for printing
Scientific software engineering for a simple ODE model
- HTML:
- Reveal slide style
- Deck slide style
- plain HTML
- plain HTML in one big file
- solarized style in one big file
- Beamer slides
- PDF for printing
Finite difference methods for vibration ODEs
- HTML:
- Reveal slide style
- Deck slide style
- plain HTML
- plain HTML in one big file
- solarized style in one big file
- Beamer slides
- PDF for printing
Truncation error analysis
- HTML:
- Reveal slide style
- Deck slide style
- plain HTML
- plain HTML in one big file
- solarized style in one big file
- Beamer slides
- PDF for printing
Finite difference methods for wave motion
- HTML:
- Reveal slide style
- Deck slide style
- plain HTML
- plain HTML in one big file
- solarized style in one big file
- Beamer slides
- PDF for printing
Introduction to finite element methods
- HTML:
- Reveal slide style
- Deck slide style
- plain HTML
- plain HTML in one big file
- solarized style in one big file
- Beamer slides
- PDF for printing
Analysis of finite difference methods for diffusion equations
- HTML:
- Reveal slide style
- Deck slide style
- plain HTML
- plain HTML in one big file
- solarized style in one big file
- Beamer slides
- PDF for printing
The following documents are from H12 and will be significantly updated
- Methods for the Navier-Stokes equations: plain HTML, solarized HTML