1
Oct. 3, 2006
ATMS 502  CS 505  CSE 566
Jewett
Exam 1 review
Following is a partial list of what could be on the exam.
1.
Given a numerical scheme, derive the
a.
Amplification factor and stability condition
b.
Truncation error, order of accuracy; consistency
c.
Relative phase error
2.
Be able to interpret the following:
a.
Polar plots describing amplitude and phase/errors
b.
Takacslike (or other) plots describing amplitude/phase/group velocity as
a function of wavenumber
k
and courant number
μ
c.
A computational molecule/diagram
d.
A modified equation
3.
Given an amplification factor, describe the amplitude, phase speed properties of
infinitely long waves, or n
∆
x waves (e.g. 2
∆
x).
4.
We spent some time on the Takacs paper. Be able to discuss it – why he did
what he did, and how he proceeded.
5.
General information from the beginning of class: what are the advantages and
disadvantages of theoretical, experimental and numerical research?
6.
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 Fall '09
 JEWETT
 Numerical Analysis, truncation error, von Neumann stability, von neumann, General Von Neumann, Relative phase error

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