Algorithm 1031: MQSI—Monotone Quintic Spline Interpolation-Reference-Cited by-同舟云学术

Algorithm 1031: MQSI—Monotone Quintic Spline Interpolation

Published:2023-03-21 Issue:1 Volume:49 Page:1-17
ISSN:0098-3500
Container-title:ACM Transactions on Mathematical Software
language:en
Short-container-title:ACM Trans. Math. Softw.

Author:

Lux Thomas¹^ORCID,Watson Layne T.¹^ORCID,Chang Tyler²^ORCID,Thacker William³^ORCID

Affiliation:

1. Virginia Polytechnic Institute and State University, Blacksburg, Virginia, USA

2. Argonne National Laboratory, Lemont, Illinois, USA

3. Winthrop University, Rock Hill, South Carolina, USA

Abstract

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 C 2 monotone interpolant. Algorithm and implementation details, complexity and sensitivity analyses, usage information, a brief performance study, and comparisons with other spline approaches are included.

Funder

National Science Foundation

Publisher

Association for Computing Machinery (ACM)

Subject

Applied Mathematics,Software

Link

https://dl.acm.org/doi/pdf/10.1145/3570157

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