The Lax Equivalence Theorem

Dear Participants,

this week we continue with setting the stage for the lectures and explain how various time discretisation methods fit into our abstract framework. We will consider finite difference methods and, naturally, our investigations focus on the seminal paper by Lax and Richtmyer (1956). You can read more about these topics in the lecture itself, which can be downloaded by clicking on the PDF link below.

The lectures are accompanied again with an appendix where we collected some basic time discretisation methods which motivate our abstract considerations and will be a source for inspiration in later lectures.

Now a few words on organisation. Based on the feedback we got from various participants, we thought that it would be a good idea to hold on and have a look at what we have done so far. This is why next week there will be no new material, we will only hold a review session with some additional examples and exercises. This also fits into the schedule of some participants who have an autumn break next week.

Finally, we kindly ask the team of Innsbruck to produce the official solutions for this lecture.

Best wishes and good reading,
your virtual lecturers

Alexander
András
Bálint
Petra

ISEM15_Lecture4.pdf

See also Appendix B.

A corrected version will be uploaded soon, until then see:

Discussion of Lecture 4.

Solutions and discussion of the exercises.