Name
Abstract | ||
|---|---|---|
This paper focuses on blow-up solutions of ordinary differential equations (ODEs). We present a method for validating blow-up solutions and their blow-up times, which is based on compactifications and the Lyapunov function validation method. The necessary criteria for this construction can be verified using interval arithmetic techniques. Some numerical examples are presented to demonstrate the applicability of our method. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1016/j.cam.2016.10.013 | Journal of Computational and Applied Mathematics |
Keywords | Field | DocType |
34C08,35B44,37B25,65L99 | Explicit and implicit methods,Mathematical optimization,Ordinary differential equation,Exponential integrator,Mathematical analysis,Linear differential equation,Numerical partial differential equations,Differential algebraic equation,Collocation method,Numerical stability,Mathematics | Journal |
Volume | ISSN | Citations |
314 | 0377-0427 | 3 |
PageRank | References | Authors |
0.49 | 5 | 6 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Akitoshi Takayasu | 1 | 7 | 1.70 |
| Kaname Matsue | 2 | 5 | 2.98 |
| Takiko Sasaki | 3 | 3 | 0.49 |
| Kazuaki Tanaka | 4 | 3 | 0.83 |
| Makoto Mizuguchi | 5 | 6 | 1.66 |
| Shin'ichi Oishi | 6 | 280 | 37.14 |