The Numerical Method of Lines and Duality Principles Applied to Models in Physics and Engineering

The book provides theoretical and applied results of a generalization of the numerical method of lines, including the Ginzburg-Landau system in superconductivity, the Navier-Stokes system in fluid mechanics, and models in flight mechanics. It is intended for applied mathematicians, physicists, and engineers interested in numerical methods and duality theory.

Format: Hardback
Length: 314 pages
Publication date: 06 February 2024
Publisher: Taylor & Francis Ltd

The book encompasses a comprehensive exploration of a generalization of the numerical method of lines, presenting both theoretical and applied findings. It begins with an initial application of a Ginzburg-Landau-type equation, accompanied by detailed explanations regarding the establishment of general line expressions. To facilitate approximate numerical solutions for a diverse range of equation types, including related algorithms and software, extensive development efforts have been undertaken. These applications extend to the Ginzburg-Landau system in superconductivity, as well as to the Navier-Stokes system in fluid mechanics, and encompass various models in flight mechanics, among others. In its subsequent and concluding sections, the book delves into the principles of duality and presents numerical results for other similar and related models.

This book is specifically designed for applied mathematicians, physicists, and engineers with a keen interest in numerical methods and duality theory. It is anticipated that the text will serve as an invaluable supplementary resource for significant engineering and physics research fields.

Weight: 766g
Dimension: 234 x 156 (mm)
ISBN-13: 9781032192093