Name
Abstract | ||
|---|---|---|
In this paper, we propose two efficient numerical integration processes for initial value problems of ordinary differential
equations. The first algorithm is the Legendre–Gauss collocation method, which is easy to be implemented and possesses the
spectral accuracy. The second algorithm is a mixture of the collocation method coupled with domain decomposition, which can
be regarded as a specific implicit Legendre–Gauss Runge–Kutta method, with the global convergence and the spectral accuracy.
Numerical results demonstrate the spectral accuracy of these approaches and coincide well with theoretical analysis. |
Year | DOI | Venue |
|---|---|---|
2009 | https://doi.org/10.1007/s10444-008-9067-6 | Advances in Computational Mathematics |
Keywords | Field | DocType |
Legendre–Gauss collocation methods,Initial value problems of ordinary differential equations,Spectral accuracy,65L60,65L06,41A10,41A29 | Runge–Kutta methods,Numerical methods for ordinary differential equations,Mathematical optimization,Exponential integrator,Ordinary differential equation,Mathematical analysis,Orthogonal collocation,Spectral method,Collocation method,Mathematics,Collocation | Journal |
Volume | Issue | ISSN |
30 | 3 | 1019-7168 |
Citations | PageRank | References |
13 | 1.11 | 4 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Ben-yu Guo | 1 | 475 | 65.54 |
| Zhong-qing Wang | 2 | 140 | 20.28 |