Name
Abstract | ||
|---|---|---|
Some dynamic properties of the local linearization (LL) scheme for the numerical integration of initial-value problems in ordinary differential equations (ODEs) are investigated. Specifically, the general conditions under which this scheme preserves the stationary points and periodic orbits of the ODEs and the local stability at these steady states are studied. These dynamic properties are also examined by means of numerical experiments and the results are compared with those achieved by other numerical schemes. In addition, a brief review of the computational implementations of the LL scheme is also presented. |
Year | DOI | Venue |
|---|---|---|
2002 | 10.1016/S0096-3003(00)00100-4 | Applied Mathematics and Computation |
Keywords | Field | DocType |
exponentially fitted euler method,dynamic property,dynamical systems,numerical integration,local linearization method,euler exponential method,intial-value problem,dynamic system,ordinary differential equation,initial value problem,steady state | Differential equation,Mathematical optimization,Ordinary differential equation,Mathematical analysis,Numerical integration,Equilibrium point,Stationary point,Dynamical systems theory,Initial value problem,Linearization,Mathematics | Journal |
Volume | Issue | ISSN |
126 | 1 | Applied Mathematics and Computation |
Citations | PageRank | References |
14 | 5.13 | 5 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Juan C. Jiménez | 1 | 14 | 5.13 |
| Rolando J. Biscay | 2 | 18 | 6.44 |
| Carlos M. Mora | 3 | 14 | 5.13 |
| Luis Manuel Rodriguez | 4 | 14 | 5.13 |