• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文会议>World Multiconference on Systemics, Cybernetics and Informatics and 5th International Conference on Information Systems Analysis and Synthesis Vol.5: Computer Science and Engineering, Jul 31-Aug 4, 1999, Orlando, Florida >Implicit Algorithm of Polynomial Acceleration for Solving of Initial-Boundary Value Problems for Parabolic Equations
【24h】

Implicit Algorithm of Polynomial Acceleration for Solving of Initial-Boundary Value Problems for Parabolic Equations

机译：抛物线方程初边值问题多项式加速的隐式算法

获取原文
获取原文并翻译 | 示例
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

The algorithm of polynomial acceleration (APA) for solving semidiscrete initial-boundary value problems for parabolic equations is stated in the papers. The APA's simplicity and its ability to render practical realization of multi-parametric methods allow to develop high-efficiency numerical models for sufficiently challenging applied problems. This algorithm may be used for modification of both explicit and implicit methods. While problems of modification of explicit methods are associated with their weak stability, modification of implicit methods does not imply significant difficulties in comparatively simple cases only. The APA may be efficiently realized, if transition operators of modified methods possess a property of an absolute approximation which explains its above mentioned imperfection. The purpose of this paper is to prove practical admissibility of an implicit APA for solving complex practical problems. Results of analysis of the APA's efficiency for the modification of the implicit Euler method in terms of S. P. Norsett approximations, studied by numerous authors and named in the paper N-appro-ximations, are stated. Numerical examination was carried out for solving an examplary axially symmetric non-linear problem of thermal diffusion in a simplified model of electromagnetic-heat interaction of a stationary quasi-neutral air arc plasma with a tube metallic electrode (plasma electrode system - PES).
机译：提出了一种求解抛物方程的半离散初边值问题的多项式加速算法。 APA的简单性及其实现多参数方法的实际实现的能力，可以开发出高效的数值模型，以解决具有挑战性的应用问题。该算法可用于显式和隐式方法的修改。虽然显式方法修改的问题与其稳定性差有关，但隐式方法的修改并不意味着仅在相对简单的情况下存在重大困难。如果修改方法的过渡算子具有绝对近似值的特性（可以解释其上述缺陷），则可以有效地实现APA。本文的目的是证明隐式APA在解决复杂的实际问题上的实用性。陈述了许多作者研究并在论文N-approximations中命名的S.P.Norsett近似对APA修改隐式Euler方法的效率的分析结果。在固定的拟中性空气电弧等离子体与管状金属电极（等离子体电极系统-PES）的电磁-热相互作用的简化模型中，进行了数值检验，以解决示例性的轴对称非线性热扩散问题。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号