算法1031:mqsi -单调五次样条插值

IF 2.7 1区数学 Q2 COMPUTER SCIENCE, SOFTWARE ENGINEERING

ACM Transactions on Mathematical Software Pub Date : 2023-03-21 DOI:https://dl.acm.org/doi/10.1145/3570157

Thomas Lux, Layne T. Watson, Tyler Chang, William Thacker

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引用次数: 0

摘要

MQSI是Fortran 2003的一个子程序，用于构造单变量单调数据的单调五次样条插值。使用尖锐的理论单调性约束，在二次面模型提供的数据上的一阶和二阶导数估计被精炼以产生单变量C2单调插值。包括算法和实现细节、复杂性和灵敏度分析、使用信息、简要的性能研究以及与其他样条方法的比较。

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Algorithm 1031: MQSI—Monotone Quintic Spline Interpolation

MQSI is a Fortran 2003 subroutine for constructing monotone quintic spline interpolants to univariate monotone data. Using sharp theoretical monotonicity constraints, first and second derivative estimates at data provided by a quadratic facet model are refined to produce a univariate C² monotone interpolant. Algorithm and implementation details, complexity and sensitivity analyses, usage information, a brief performance study, and comparisons with other spline approaches are included.

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来源期刊

ACM Transactions on Mathematical Software 工程技术-计算机：软件工程

CiteScore

5.00

自引率

3.70%

发文量

审稿时长

>12 weeks

期刊介绍： As a scientific journal, ACM Transactions on Mathematical Software (TOMS) documents the theoretical underpinnings of numeric, symbolic, algebraic, and geometric computing applications. It focuses on analysis and construction of algorithms and programs, and the interaction of programs and architecture. Algorithms documented in TOMS are available as the Collected Algorithms of the ACM at calgo.acm.org.