Timeline for Benchmark Systems for ODE Solvers - Reference Request
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 21, 2017 at 20:50 | vote | accept | Slaven Glumac | ||
| Feb 21, 2017 at 4:54 | answer | added | David Ketcheson | timeline score: 4 | |
| Feb 21, 2017 at 2:58 | comment | added | VorKir | Not majoring in ODE solvers, but as I recall, benchmark for stiff ODE solvers do not have analytical solution available usually. One of the known authors in this field usually takes Belousov-Zhabotinsky reaction as a benchmark, for example. | |
| Feb 20, 2017 at 22:26 | answer | added | Robert Israel | timeline score: 1 | |
| Feb 20, 2017 at 22:13 | comment | added | Piyush Grover | You can easily come up with stiff systems which are analytically solvable. Basically, you need the eigenvalues to be of very different sizes, say $\lambda_1=10^3\lambda_2$. | |
| Feb 20, 2017 at 20:28 | comment | added | Slaven Glumac | @Robert Israel I realize that this is the case and this fine for me. I would like to make experiments with such demonstration systems for introduction purposes. | |
| Feb 20, 2017 at 17:56 | comment | added | Robert Israel | Focussing on systems with closed-form solutions pretty much excludes chaotic systems, which are ones where global error can be severe (butterfly effect etc.) | |
| Feb 20, 2017 at 17:28 | comment | added | Slaven Glumac | @PiyushGrover They should be more complicated in the sense they reveal strengths and weaknesses of different ODE solvers. Another example may be 2nd order linear system with a large stiffness ratio and so on. I could take the time and try to enumerate them, but I am hoping to find a reference that already did something similar. This was already done in mentioned articles, but with local error as one of criteria instead of global error. | |
| Feb 20, 2017 at 15:53 | comment | added | Piyush Grover | So you want more complicated systems than the example you presented ? | |
| Feb 20, 2017 at 15:50 | review | First posts | |||
| Feb 20, 2017 at 16:00 | |||||
| Feb 20, 2017 at 15:46 | history | asked | Slaven Glumac | CC BY-SA 3.0 |