Name
Title | ||
|---|---|---|
Legendre-Gauss-Radau Collocation Method for Solving Initial Value Problems of First Order Ordinary Differential Equations |
Abstract | ||
|---|---|---|
In this paper, we propose an efficient numerical integration process for initial value problems of first order ordinary differential equations, based on Legendre-Gauss-Radau interpolation, which is easy to be implemented and possesses the spectral accuracy. We also develop a multi-step version of this approach, which can be regarded as a specific implicit Legendre-Gauss-Radau Runge-Kutta method, with the global convergence and the spectral accuracy. Numerical results coincide well with the theoretical analysis and demonstrate the effectiveness of these approaches. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1007/s10915-011-9538-7 | J. Sci. Comput. |
Keywords | Field | DocType |
spectral accuracy,specific implicit legendre-gauss-radau runge-kutta,initial value problems,efficient numerical integration process,initial value problem,legendre-gauss-radau interpolation,multi-step version,legendre-gauss-radau collocation method,first order ordinary differential,global convergence,numerical result,order ordinary differential equation,theoretical analysis | Numerical methods for ordinary differential equations,Mathematical optimization,Explicit and implicit methods,Exponential integrator,Mathematical analysis,Orthogonal collocation,Numerical partial differential equations,Spectral method,Backward differentiation formula,Collocation method,Mathematics | Journal |
Volume | Issue | ISSN |
52 | 1 | 1573-7691 |
Citations | PageRank | References |
8 | 0.98 | 3 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Zhong-qing Wang | 1 | 140 | 20.28 |
| Ben-yu Guo | 2 | 475 | 65.54 |