Starting in the spring 2013, I videotaped the lectures
for my *MATH 676: Finite element methods in scientific
computing* course
at the KAMU TV studio at
Texas A&M. These are lectures
on many aspects of scientific computing, software,
and the practical aspects of the finite element method, as
well as their implementation in the
deal.II software library. Support
for creating these videos was also provided by the
National Science Foundation and
the Computational
Infrastructure in Geodynamics.

The videos are part of a broader effort to develop a modern way of teaching Computational Science and Engineering (CS&E) courses. If you are interested in adapting our approach, you may be interested in this paper I wrote with a number of education researchers about the structure of such courses and how they work.

**Note 1:** In some of the videos, I demonstrate code or user
interfaces. If you can't read the text, change the
video quality by clicking on the "gear" symbol at the
bottom right of the YouTube player.

**Note 2:**
deal.II is an
actively developed library, and in the course of this
development we occasionally deprecate and remove
functionality. In some cases, this implies that we also
change tutorial programs, but the nature of videos is that
this is not reflected in something that may have been
recorded years ago. If in doubt, consult
the *current* version of the tutorial.

**Lecture 29: The step-26 tutorial program -- the heat equation. Part 1: The basics**

In this lecture, I look at the practical realization of an implicit
time stepping method for the heat equation, using the step-26 tutorial
program. This lecture covers the basic approach: how to do the time
stepping, what we can expect from the matrix that needs to be inverted
in every time step, and how one, in practice, evaluates a complex
expression on the right hand side. It then takes a look at the basic
structure of a time dependent solver program, both in terms of member
variables in the main class and how the usual `run()`

function now looks.

中国Bilibili站点视频，请点击此处。

**Slides:** click here