Inverse Problems with Applications in Science and Engineering

Inverse Problems with Applications in Science and Engineering is a book that explores the state-of-the-art of inverse and ill-posed problems for partial differential equations (PDEs). It covers all types of PDEs and provides both theory and numerical algorithms for solving them. Its applications arise in heat transfer, electrostatics, porous media, acoustics, fluid and solid mechanics.

Format: Paperback / softback
Length: 342 pages
Publication date: 29 January 2024
Publisher: Taylor & Francis Ltd

Driven by the remarkable advancements in industrial mathematics and the pressing demand for impactful case studies, Inverse Problems with Applications in Science and Engineering delves into the cutting-edge of selected classes of inverse and ill-posed problems for partial differential equations (PDEs). The natural, practical applications of this comprehensive examination manifest in diverse fields such as heat transfer, electromagnetics, porous media, acoustics, fluid and solid mechanics, all of which are addressed in this text.

Key Features:

Comprehensive Coverage: This text encompasses a wide range of PDE types, including elliptic (Laplaces, Helmholtz, modified Helmholtz, biharmonic, and Stokes), parabolic (heat, convection, reaction, and diffusion), and hyperbolic (wave). It serves as an invaluable reference for post-graduates and researchers in mathematics, engineering, and any other scientific discipline that engages with inverse problems.

Thorough Theoretical Foundation: The book provides a solid theoretical foundation, covering key concepts, methods, and techniques related to inverse problems. It offers a comprehensive understanding of the underlying principles and methodologies, enabling readers to apply them effectively to solve complex problems.

Extensive Numerical Algorithms: In addition to the theoretical discussions, the book includes comprehensive numerical algorithms for solving all types of inverse and ill-posed problems. These algorithms are designed to handle complex mathematical models and provide accurate solutions, making it easier for readers to apply the theoretical knowledge in practical scenarios.

Applications in Real-World Settings: The applications of inverse problems extend across various scientific and engineering disciplines. This text showcases real-world examples and case studies from various fields, illustrating the practical significance and impact of inverse problem solutions.

For post-graduates, researchers, and practitioners seeking to expand their knowledge in inverse problems and their applications, Inverse Problems with Applications in Science and Engineering is an essential resource. It offers a comprehensive and up-to-date treatment of the field, providing valuable insights and tools for addressing challenging problems in diverse scientific and engineering domains.

Weight: 453g
Dimension: 234 x 156 (mm)
ISBN-13: 9781032125381