Optimal recovery of solutions of the generalized heat equation in the unit ball from inaccurate data

K.Yu. Osipenko; E.V. Wedenskaya

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Optimal recovery of solutions of the generalized heat equation in the unit ball from inaccurate data

机译：从不准确的数据中最优恢复单位球中广义热方程的解

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摘要

We consider the problem of optimal recovery of solutions of the generalized heat equation in the unit ball. Information is given at two time instances, but inaccurate. The solution is to be constructed at some intermediate time. We provide the optimal error and present an algorithm which achieves this error level.

机译：我们考虑了单位球中广义热方程解的最佳恢复问题。信息在两个时间点给出，但不准确。该解决方案将在某个中间时间构建。我们提供了最佳误差，并提出了实现该误差水平的算法。

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来源
《Journal of complexity》 |2007年第6期|p.653-661|共9页
作者
K.Yu. Osipenko; E.V. Wedenskaya;
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作者单位

'MATI'-Russian State Technological University, Russia;

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原文格式 PDF
正文语种 eng
中图分类数理科学和化学;
关键词
optimal recovery; heat equation; inaccurate information;

机译：最佳回收率热方程信息不准确;

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专利

1. Extremal problems for the generalized heat equation and optimal recovery of its solution from inaccurate data [J] . K. Yu. Osipenko Optimization: A Journal of Mathematical Programming and Operations Research . 2011,第4a6期

机译：广义热方程的极端问题及其从不准确数据中求解的最佳恢复
2. Extremal problems for the generalized heat equation and optimal recovery of its solution from inaccurate data [J] . K.Yu. Osipenko Optimization: A Journal of Mathematical Programming and Operations Research . 2011,第6期

机译：广义热方程的极端问题及其从不准确数据中求解的最佳恢复
3. Optimal recovery of the solution of the heat equation from inaccurate data [J] . Magaril-Ilyaev G.G., Osipenko K.Yu. Sbornik. Mathematics . 2009,第5a6期

机译：从不准确的数据中最佳恢复热方程的解
4. Monte Carlo methods for exact amp; efficient solution of the generalized optimality equations [C] . Ortega Pedro A., Braun Daniel A., Tishby Naftali 2014 IEEE International Conference on Robotics amp; Automation . 2014

机译：蒙特卡洛方法，用于精确有效地求解广义最优性方程
5. Improved generalized estimating equations for incomplete longitudinal binary data, covariance estimation in small samples, and ordinal data. [D] . Perin, Jamie. 2009

机译：改进的广义估计方程，用于不完整的纵向二进制数据，小样本中的协方差估计以及有序数据。
6. Optimal design of longitudinal data analysis using generalized estimating equation models [O] . Jingxia Liu, Graham A. Colditz -1

机译：使用广义估计方程模型的纵向数据分析的优化设计
7. Optimal recovery of solutions of the generalized heat equation in the unit ball from inaccurate data [O] . Osipenko K.Yu., Wedenskaya E.V. 2007

机译：从不准确的数据中最优恢复单位球中广义热方程的解
8. Complete Families of Solutions to the Heat Equation and Generalized Heat Equation in Rn. [R] . Colton, D., Watzlawek, W. 1976

机译：Rn中热方程和广义热方程的完全族解。

Optimal recovery of solutions of the generalized heat equation in the unit ball from inaccurate data

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