Name
Title | ||
|---|---|---|
On necessary and sufficient conditions for numerical verification of double turning points |
Abstract | ||
|---|---|---|
This paper describes numerical verification of a double turning point of a nonlinear system using an extended system. To verify the existence of a double turning point, we need to prove that one of the solutions of the extended system corresponds to the double turning point. For that, we propose an extended system with an additional condition. As an example, for a finite dimensional problem, we verify the existence and local uniqueness of a double turning point numerically using the extended system and a verification method based on the Banach fixed point theorem. |
Year | DOI | Venue |
|---|---|---|
2004 | 10.1007/s00211-003-0515-4 | Numerische Mathematik |
Keywords | Field | DocType |
sufficient condition,extended system corresponds,additional condition,extended system,nonlinear system,local uniqueness,banach fixed point theorem,finite dimensional problem,verification method,numerical verification | Uniqueness,Banach fixed-point theorem,Nonlinear system,Mathematical analysis,Numerical analysis,Numerical verification,Mathematics,Fixed-point theorem | Journal |
Volume | Issue | ISSN |
97 | 3 | 0029-599X |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| kenichiro | 1 | 174 | 33.20 |
| Sunao Murashige | 2 | 3 | 2.89 |
| Shin'ichi Oishi | 3 | 280 | 37.14 |