Approximation Theory and Related Applications / / edited by Yurii Kharkevych.

• TeilnehmendeR: Kharkevych, Yurii,
• Place / Publishing House: [Place of publication not identified] : : MDPI AG,, 2023.
• Year of Publication: 2023
• Language: English
• Physical Description: 1 online resource (228 pages)

In recent years, we have seen a growing interest in various aspects of approximation theory. This happened due to the increasing complexity of mathematical models that require computer calculations and the development of the theoretical foundations of the approximation theory. Approximation theory has broad and important applications in many areas of mathematics, including functional analysis, differential equations, dynamical systems theory, mathematical physics, control theory, probability theory and mathematical statistics, and others. Approximation theory is also of great practical importance, as approximate methods and estimation of approximation errors are used in physics, economics, chemistry, signal theory, neural networks and many other areas. This book presents the works published in the Special Issue "Approximation Theory and Related Applications". The research of the world's leading scientists presented in this book reflect new trends in approximation theory and related topics.

Table of Contents

Introduction -- An Example -- A Modified Example -- Finite Element Approximation -- Second-Order Elliptic Equations -- Weak Solutions -- Type of Boundaries -- Interpolation of Operators -- Saturation of Approximation -- Summary.