Overview of course material: Numerical solution of PDEs
The teaching material is produced in various formats for printing and
on-screen reading.
Warning.
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" below, apply MathJax
for rendering LaTeX formulas and sometimes this technology 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 for a future textbook
Introduction to computing with finite difference methods
- LaTeX PDF:
- For printing:
- For screen viewing:
- HTML:
Finite difference methods for diffusion equations
- LaTeX PDF:
- For printing:
- For screen viewing:
- HTML:
Introduction to finite element methods
- LaTeX PDF:
- For printing:
- For screen viewing:
- HTML:
Finite difference methods for wave motion
- LaTeX PDF:
- For printing:
- For screen viewing:
- HTML:
Finite difference methods for vibration ODEs
- LaTeX PDF:
- For printing:
- For screen viewing:
- HTML:
Scientific software engineering with a simple ODE as case
- LaTeX PDF:
- For printing:
- For screen viewing:
- HTML:
Truncation error analysis
- LaTeX PDF:
- For printing:
- For screen viewing:
- HTML:
Solving nonlinear ODE and PDE problems
- LaTeX PDF:
- For printing:
- For screen viewing:
- HTML:
Study guides (slides for 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
Finite difference methods for diffusion equations
Introduction to finite element methods
Finite difference methods for wave motion
Finite difference methods for vibration ODEs
Scientific software engineering with a simple ODE as case
Truncation error analysis
Solving nonlinear ODE and PDE problems
FEniCS tutorial version 1.1 (will be updated to v1.4)
PDF for printing and electronic view, Sphinx (one big file), Sphinx (multiple files). This document replaces the official FEniCS tutorial. Updates for v1.4 will be published in a couple of days.