Mathematical Modelling of Astrophysical Objects and Processes

TL;DR

This paper reviews advanced mathematical algorithms and methods applicable to analyzing various astrophysical systems and signals across multiple disciplines, emphasizing their broad utility beyond astrophysics.

Contribution

It introduces diverse mathematical techniques for analyzing signals and systems, highlighting their interdisciplinary applications and the need for specialized methods.

Findings

Mathematical methods are versatile across disciplines.

Various algorithms are effective for analyzing different signal types.

Mathematical equations are common in science, technology, and humanities.

Abstract

In this review, we present some advanced algorithms and programs used in our scientific school with short description of types of astrophysical systems, which we study. However, we discuss mainly mathematical methods, which may be applied to analysis of signal of any nature - in computer science, engineering, economics, social studies, decision making etc. The variety of types of signals need a diversity of adequate complementary specific methods, in an addition to common algorithms. As an example, one may refer to vibrations, stability of mechanisms. Many mathematical equations are common in Science, Technics and Humanities.