Approximation And Regularisation Methods For Operator-functional Equations

Nikolay Sidorov, Denis Sidorov, Edixon M Rojas, Alexander V Sinitsyn (Autoren)

Buch | Hardcover

248 Seiten

2025
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-98-0168-8 (ISBN)

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This book presents an overview of the most recent research and findings in the field of approximation and regularisation methods for operator-functional equations, and explores their applications in electrical and power engineering. It presents the state of the art in building operator theory, regularised numerical methods, and the verification of mathematical models for dynamical models based on integral and differential equations. Special attention is paid to Volterra models, a powerful tool for modelling hereditary dynamics.This book begins by exploring the solvability of singular integral equations and moves on to study approximation methods for linear operator equations and nonlinear integral equations. Following this, it examines loaded equations and bifurcation analysis, before concluding with an investigation of the applications of the contents of the book in electrical engineering and automation. Each chapter provides an overview and analysis of the relevant problem statements, outlines current methods within the field, and identifies future directions for research.With an interdisciplinary approach, this book is essential reading for anyone interested in operator-functional equations. Graduate students and professors in the fields of applied mathematics, physics, materials science, and numerical analysis will find this work insightful and valuable, as will industry professionals in related fields.

Erscheinungsdatum	11.03.2025
Reihe/Serie	Series on Advances in Mathematics for Applied Sciences ; 95
Verlagsort	Singapore
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	981-98-0168-0 / 9819801680
ISBN-13	978-981-98-0168-8 / 9789819801688
Zustand	Neuware