BOOKS - Well-Posed, Ill-Posed, and Intermediate Problems with Applications
Well-Posed, Ill-Posed, and Intermediate Problems with Applications - Yuri P. Petrov January 1, 2005 PDF BOOKS
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Well-Posed, Ill-Posed, and Intermediate Problems with Applications
Author: Yuri P. Petrov
Year: January 1, 2005
Format: PDF
File size: PDF 13 MB
Language: English



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Book WellPosed IllPosed and Intermediate Problems with Applications Author: [insert author's name] Publication Year: [insert publication year] Pages: [insert number of pages] Genre: Mathematics, Physics, Engineering Overview: This book tackles one of the fundamental issues in applied mathematics - the investigation of stability in solving equations with consideration for inaccuracies in initial data parameters, coefficients of a mathematical model, and other factors. It introduces a third category of intermediate problems that exhibit varying properties based on the type of functional space employed. The book is divided into two parts, with the first part focusing on the general properties of all three types of problems and their solutions, while the second part delves into stable models for resolving inverse ill-posed problems with numerical examples and applications in physics and engineering. Plot Summary: The book begins by discussing the classification of mathematical, physical, and engineering problems into three categories: well-posed, ill-posed, and intermediate problems. The authors emphasize the significance of understanding the evolution of technology and the importance of developing a personal paradigm for perceiving the technological process of modern knowledge development as the foundation for human survival and unity in a world filled with conflict.
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