SEMINAR “Contemporary Analysis and Partial Differential Equations” (20.10.2023)

SEMINAR “Contemporary Analysis and Partial Differential Equations” (20.10.2023)

 

 

 

 

Sergei Solodky

Institute of Mathematics of NASU, Ukraine,
University of Giessen, Germany

solodky@imath.kiev.ua

Optimization of Numerical Differentiation Methods.
Approximation and Information Aspects

Friday, 20 October 2023 at 12:00

On line: https://meet.google.com/afw-vnwo-dfb

Abstract

In the talk, I will incorporate the so-called self-regularization into the numerical differentiation of multivariable functions. The proposed approach is a combination of the truncation method and a discretization scheme using the idea of a hyperbolic cross. It will be shown that numerical differentiation methods constructed in this way not only have a simple implementation but are also optimal in terms of the accuracy and volume of discrete information used.

Seminar video report

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