Approximation And Regularisation Methods For Operator-functional Equations
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A01=Alexander V Sinitsyn
A01=Denis Sidorov
A01=Edixon M Rojas
A01=Nikolay Sidorov
Author_Alexander V Sinitsyn
Author_Denis Sidorov
Author_Edixon M Rojas
Author_Nikolay Sidorov
Bifurcation
Category=PBKL
Category=PBKS
Control Methods
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Fredholm Operator
Inverse Problems
Loaded Equations
Machine Learning
Nonlinear Analysis
Numerical Methods
Power Systems
Regularisation
Singular Integral Equation
Volterra Models
Product details
- ISBN 9789819801688
- Publication Date: 07 Apr 2025
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
