A Global Selection Procedure for Polynomial Interpolators
A Global Selection Procedure for Polynomial Interpolators
复制标题
多项式插值器的全局选择过程
作者：
R. Bates;Beatrice Giglio;H. Wynn
特别是在工程领域，对测试设计思想和原型的有效方法的推动，导致了使用计算机的数值模拟方法（如有限元分析）的快速增长。这种普及的增加推动了对从这些模拟中收集的数据进行插值的经验模型的需求。我们提出了一个选择算法，有效地探索一个适当的类多项式插值。由于采用了特殊的编码，多项式模型的存储变得高效和有效。最后，算法的最后阶段返回一个模型，它不再是一个模型，而是具有更少的术语，更简单，更容易处理和理解。以这种方式，实现了模型的准确性和简单性之间的权衡。
The drive for efficient methods of testing design ideas and prototypes, particularly in engineering, has led to a rapid increase in the field of numerical simulation methods using computers, such as finite-element analysis. This increase in popularity has fueled the need for empirical models that interpolate data collected from these simulations. We propose a selection algorithm to efficiently explore an appropriate class of polynomial interpolators. The storage of polynomial models is made efficient and effective thanks to a special coding. Finally, the last stage of the algorithm returns a model that is no longer an interpolator but, having a smaller number of terms, is simpler and easier to handle and understand. In this way, a trade-off between accuracy and simplicity of the model is attained.