Name
Title | ||
|---|---|---|
Integration processes of ordinary differential equations based on Laguerre-Radau interpolations |
Abstract | ||
|---|---|---|
In this paper, we propose two integration processes for ordinary differential equations based on modified Laguerre-Radau interpolations, which are very efficient for long-time numerical simulations of dynamical systems. The global convergence of proposed algorithms are proved. Numerical results demonstrate the spectral accuracy of these new approaches and coincide well with theoretical analysis. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1090/S0025-5718-07-02035-2 | MATHEMATICS OF COMPUTATION |
Keywords | Field | DocType |
numerical integrations,ordinary differential equations,modified Laguerre-Radau interpolations | Differential equation,Explicit and implicit methods,Mathematical optimization,Exponential integrator,Ordinary differential equation,Mathematical analysis,Numerical partial differential equations,Dynamical systems theory,Numerical analysis,Mathematics,Numerical stability | Journal |
Volume | Issue | ISSN |
77 | 261 | 0025-5718 |
Citations | PageRank | References |
5 | 1.09 | 4 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Ben-yu Guo | 1 | 475 | 65.54 |
| Zhong-qing Wang | 2 | 140 | 20.28 |
| Hongjiong Tian | 3 | 47 | 13.31 |
| Li-Lian Wang | 4 | 367 | 43.47 |