Images and movies related to the paper
Stability properties of differential-algebraic equations
and spin-stabilized discretizations
Peter Kunkel and Volker Mehrmann
The following table contains links to images and movies of the stability regions
for various discretization methods applied to the proposed test function.
Method |
Image |
Movie |
Implicit Euler method |
x |
x |
Radau IIa method s=2 |
x |
x |
Radau IIa method s=3 |
x |
|
Implicit midpoint rule |
x |
x |
Gauss method s=2 |
x |
|
Gauss-Lobatto method k=1 |
x |
x |
Gauss-Lobatto method k=2 |
x |
|
Trapezoidal rule |
x |
|
BDF method k=2 |
x |
x |
The stability regions for Example 1 of the un-stabilized implicit Euler method
can be found here and of the spin-stabilized
implicit Euler method can be found here.