The Numerical Method of Lines and Duality Principles Applied to Models in Physics and Engineering 1st Edition

The Numerical Method of Lines and Duality Principles Applied to Models in Physics and Engineering (1st Edition) by Fabio Silva Botelho is an authoritative, practical guide that bridges rigorous mathematics and real-world simulation. This compelling text introduces the numerical method of lines alongside duality principles to tackle complex partial differential equations common to physics and engineering disciplines.

Readers will find clear, step-by-step development of the method of lines, stability and convergence analyses, and how duality principles enhance solution strategies for nonlinear and coupled systems. Case studies span fluid dynamics, heat transfer, structural vibration, electromagnetics, and quantum models—demonstrating how abstract theory translates into reliable computational practice for researchers and engineers.

Designed for graduate students, applied mathematicians, and industry practitioners, the book balances theory with implementable algorithms and illustrative examples. Emphasis on error control, adaptive discretization, and efficient solvers makes it especially valuable for simulation work in academic research and engineering projects across Europe, North America, Asia-Pacific, and beyond.

What sets this volume apart is its integration of duality-based reasoning to improve robustness and insight into model behavior, making it indispensable for those confronting multiphysics problems or seeking deeper understanding of numerical modeling foundations. The lucid exposition, supported by worked examples and practical recommendations, helps readers move from conceptual grasp to confident implementation.

Whether you’re preparing for advanced coursework, developing computational tools, or leading applied research, this first edition by Fabio Silva Botelho equips you with the methods and perspectives needed to solve contemporary modeling challenges. Add this essential reference to your library to enhance your simulations, publications, and engineering designs. Purchase now to advance your expertise in numerical methods for physics and engineering.

Note: eBooks do not include supplementary materials such as CDs, access codes, etc.