| 来源类型 | Working Paper |
| 规范类型 | 报告 |
| DOI | 10.3386/w19326 |
| 来源ID | Working Paper 19326 |
| Smolyak Method for Solving Dynamic Economic Models: Lagrange Interpolation, Anisotropic Grid and Adaptive Domain | |
| Kenneth L. Judd; Lilia Maliar; Serguei Maliar; Rafael Valero | |
| 发表日期 | 2013-08-16 |
| 出版年 | 2013 |
| 语种 | 英语 |
| 摘要 | First, we propose a more efficient implementation of the Smolyak method for interpolation, namely, we show how to avoid costly evaluations of repeated basis functions in the conventional Smolyak formula. Second, we extend the Smolyak method to include anisotropic constructions; this allows us to target higher quality of approximation in some dimensions than in others. Third, we show how to effectively adapt the Smolyak hypercube to a solution domain of a given economic model. Finally, we advocate the use of low-cost fixed-point iteration, instead of conventional time iteration. In the context of one- and multi-agent growth models, we find that the proposed techniques lead to substantial increases in accuracy and speed of a Smolyak-based projection method for solving dynamic economic models. |
| 主题 | Microeconomics ; Mathematical Tools |
| URL | https://www.nber.org/papers/w19326 |
| 来源智库 | National Bureau of Economic Research (United States) |
| 引用统计 | |
| 资源类型 | 智库出版物 |
| 条目标识符 | http://119.78.100.153/handle/2XGU8XDN/577001 |
| 推荐引用方式 GB/T 7714 | Kenneth L. Judd,Lilia Maliar,Serguei Maliar,et al. Smolyak Method for Solving Dynamic Economic Models: Lagrange Interpolation, Anisotropic Grid and Adaptive Domain. 2013. |
| 条目包含的文件 | 条目无相关文件。 | |||||
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