DOI: https://doi.org/10.26089/NumMet.v19r440

Adaptive smoothing approximation in the construction problem for hydrometeorological fields

Authors

  • B.N. Ivanov

Keywords:

cubic spline
Akima spline
adaptive interpolation

Abstract

A smoothing approximation procedure that allows one to adapt a piecewise linear isoline to its representation by polynomials up to the third order is considered. The smoothing approximation reduces the effect of linear interpolation errors in isoline plotting. The procedure is based on the least-squares method. The data replenishment methods of spline cubic interpolation, most commonly used in practical work, are analyzed. A universal approach for the formation of boundaries of isoline areas on the basis of data availability at the computational grid nodes is discussed.

New computational technologies

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Published

2018-12-24

Issue

Vol. 19 (2018): Issue 4.

Section

Section 1. Numerical methods and applications

Author Biography

B.N. Ivanov

Far Eastern Federal University (FEFU),
School of Natural Sciences
• Associate Professor

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