Lecture 1 of Numerical methods for differential
equations (CTB2400)
next
lecture
- The following subjects are discussed:
- Taylorpolynomial and remainder term
- Order symbol of Landau + rules to combine them
- Absolute and relative error
- Floating point numbers and rounding errors
Corresponding pages in the book: pages 1-10.
The lecture is also available via
collegerama. At 1.30 hour of the video the presentation of a Lead
Engineer from from from
Seaway7 starts. The
slides and two pictures (
Nelleke before a monopile used to build a huge windmill and
Woman Power
) are also
available.
- Historical remarks
- Easy exercises of Chapter 1.
- Exercises 1-4 of page 10 can be made (
answers).
- Additional information
-
English explanation of the Taylor polynomial with a nice Java
example.
-
Introduction and information about Numerical Analysis.
- Disasters caused by numerical errors
-
Numerical Mathematics in the WorldWideWeb offers you the possibility of testing a lot of methods from numerical computing and optimization interactively. You will need only minimal programming knowledge for using this.
- Numerical simulation is used in many civil engineering
applications. One
application is the
SWAN package developed
at the TUDelft to compute
random, short-crested wind-generated waves in coastal regions and inland
waters.
Also in the Traffic flow theory and simulation group of
Prof.dr.ir.
Serge Hoogendoorn
many numerical methods are used.

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Lectures of numerical methods for differential equations page.
