Comparative study on order-reduced methods for linear third-order ordinary differential equations
文献类型：期刊论文
| 作者 | Ren Zhiru |
| 刊名 | FRONTIERS OF MATHEMATICS IN CHINA
 |
| 出版日期 | 2012 |
| 卷号 | 7期号:6页码:1151-1168 |
| 关键词 | PRECONDITIONED ITERATIVE METHODS SYSTEMS FLOWS third-order ordinary differential equation order-reduced method sinc discretization preconditioner Krylov subspace method |
| ISSN号 | 1673-3452 |
| 其他题名 | Comparative study on order-reduced methods for linear third-order ordinary differential equations |
| 英文摘要 | The linear third-order ordinary differential equation (ODE) can be transformed into a system of two second-order ODEs by introducing a variable replacement, which is different from the common order-reduced approach. We choose the functions p(x) and q(x) in the variable replacement to get different cases of the special order-reduced system for the linear third-order ODE. We analyze the numerical behavior and algebraic properties of the systems of linear equations resulting from the sinc discretizations of these special second-order ODE systems. Then the block-diagonal preconditioner is used to accelerate the convergence of the Krylov subspace iteration methods for solving the discretized system of linear equation. Numerical results show that these order-reduced methods are effective for solving the linear third-order ODEs. |
| 资助项目 | [State Key Laboratory of Scientific/Engineering Computing, Chinese Academy of Sciences] |
| 语种 | 英语 |
| CSCD记录号 | CSCD:4694324 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/54983]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 中国科学院数学与系统科学研究院 |
| 推荐引用方式 GB/T 7714 | Ren Zhiru. Comparative study on order-reduced methods for linear third-order ordinary differential equations[J]. FRONTIERS OF MATHEMATICS IN CHINA,2012,7(6):1151-1168. |
| APA | Ren Zhiru.(2012).Comparative study on order-reduced methods for linear third-order ordinary differential equations.FRONTIERS OF MATHEMATICS IN CHINA,7(6),1151-1168. |
| MLA | Ren Zhiru."Comparative study on order-reduced methods for linear third-order ordinary differential equations".FRONTIERS OF MATHEMATICS IN CHINA 7.6(2012):1151-1168. |
入库方式： OAI收割
来源：数学与系统科学研究院
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