Multivariate interpolation
Pascual Jara, Joaquin Jodar, Luis Merino, Juan F. Ruiz
TL;DR
This paper explores how symbolic computation can be utilized to perform multivariate interpolation methods like Lagrange, Hermite, and Birkhoff, aiming to create more realistic interpolating functions with an analysis of their complexity and applications.
Contribution
It introduces a symbolic computation approach to multivariate interpolation methods and discusses their complexity and practical applications.
Findings
Symbolic methods enable more realistic multivariate interpolation.
Complexity analysis of interpolation techniques.
Applications demonstrate practical utility.
Abstract
The aim of this work is to show how symbolic computation can be used to perform multivariate Lagrange, Hermite and Birkhoff interpolation and help us to build more realistic interpolating functions. After a theoretical introduction in which we analyze the complexity of the method we shall focus our attention on applications.
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Taxonomy
TopicsAdvanced Numerical Analysis Techniques · Polynomial and algebraic computation · Numerical Methods and Algorithms