SYLLABUS Up: Lifelong-learners
This is the web edition of the distance learning courses taught at the
Royal Institute of Technology in Stockholm (KTH course 2D5246, 4 points),
the Swedish Netuniversity (KTH course 2D4232, 4 points), other universities
and independent learners from outside Sweden. The target in 4 weeks time,
is to provide an introduction in computational methods for graduate- and
lifelong learning students, using a flexible and applied learning method
that can easily be tailored to professional schedules. Short
video recordings introduce the subject by
following the teacher's line of thought; the material is then studied and
assimilated in a problem based learning environement, performing numerical
experiments in the JBONE applet below: be patient, it takes a one
time only 70 secs to load with a modem...
press START/STOP to simulate the propagation of a shock wave
computed with a finite difference approximation of the Burger equation.
You may re-scale the plot area using Toggle display and
edit the parameters with a click of the mouse button.
Numerical methods such as finite differences, finite elements, fast Fourier
transforms, Monte-Carlo and Lagrangian schemes are discussed for a variety
of problems including the advection, diffusion, Black-Scholes, Burger,
Korteweg-DeVries and the Schroedinger equation.
Assignments are submitted from the web browser and are automatically compiled
into web pages where the students explain with their own words, equations
and programs how to derive, implement and run their own numerical schemes.
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Table of contents