Guido Buzzi Ferraris Knihy

Engineers and applied scientists often encounter complex systems that lack rigorous mathematical solutions. To predict and analyze the behavior of these systems, numerical approximations are essential, relying on real-life measurements or simpler model behaviors. This guide serves as a practical companion for engineers using numerical methods to tackle complex mathematical challenges. It elucidates the theory behind current numerical techniques and provides a step-by-step approach to their application. Focusing on differential and differential-algebraic systems, the volume includes numerous industrial case studies to clarify these intricate topics. It details methods and innovative strategies implemented in the freely available BzzMath toolbox, developed by the authors, which offers up-to-date software tools for the discussed methods. A variety of examples, sample codes, and applications span multiple scientific and engineering fields, including chemical and electrical engineering, physics, medicine, and environmental science. Consequently, engineers and scientists can optimize processes prior to laboratory work. Additional online resources feature the latest BzzMath Library version, installation tutorials, and all examples and codes presented in the book, along with further illustrative examples.

An engineer's companion to using numerical methods for the solution of complex mathematical problems. It explains the theory behind current numerical methods and shows in a step-by-step fashion how to use them, focusing on interpolation and regression models. The methods and examples are taken from a wide range of scientific and engineering fields, including chemical engineering, electrical engineering, physics, medicine, and environmental science. The material is based on several courses for scientists and engineers taught by the authors, and all the exercises and problems are classroom-tested. The required software is provided by way of a freely accessible program library at the University of Milan that provides up-to-date software tools for all the methods described in the book.