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.
