Trigonometric splines of several variables
V. Denysiuk
TL;DR
This paper introduces methods for constructing multivariable trigonometric interpolation splines on rectangular domains, providing a theoretical foundation, generalization to multiple variables, and practical numerical examples.
Contribution
It presents new methods for multivariable trigonometric spline construction and demonstrates their generalization and practical applicability.
Findings
Methods are easily generalized to multiple variables.
Numerical example illustrates theoretical propositions.
Constructed splines can be widely used in practice.
Abstract
Under consideration methods of constructing trigonometric interpolation splines of two variables on rectangular areas. These methods are easily generalized to the case of trigonometric interpolation splines of several variables on such domains. A numerical example illustrating the main theoretical propositions is considered. The given methods of constructing such splines can be widely used in practice.
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Taxonomy
TopicsGeodetic Measurements and Engineering Structures · Aerospace, Electronics, Mathematical Modeling · Heat Transfer and Mathematical Modeling