This third in a suite of four practical guides is 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. The volume focuses on optimization from experimental to large-scale processes, detailing the algorithms needed to solve real-life problems. It describes the methods, innovative techniques and strategies that are all implemented in a well-established, freeware mathematical toolbox called BzzMath, which is developed and maintained by the authors. Numerous examples, sample codes, programs and applications are taken from a wide range of scientific and engineering fields, such as chemical engineering, electrical engineering, physics, medicine, and environmental science. As a result, engineers and scientists learn how to use the latest and most powerful numerical methods in their daily work. With additional online material including the latest version of BzzMath Library, installation tutorial, all examples and sample codes used in the book and a host of further examples.

A practical engineer's companion to using numerical methods for the solution of complex mathematical problems. It thus enables readers to use and implement standard numerical tools in their work, explaining the theory behind the various functions and problem solvers, while showcasing applications in diverse scientific and engineering fields.
The material is based on several tried-and-tested courses for scientists and engineers taught by the authors, and all the exercises and problems are classroom-tested.
The required software is freeware developed and maintained by the authors, included on the accompanying CD-ROM, together with an installation tutorial, all the examples and sample codes described in the book, as well as a host of additional 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.

Engineers and other applied scientists are frequently faced with models of complex systems for which no rigorous mathematical solution can be calculated. To predict and calculate the behaviour of such systems, numerical approximations are frequently used, either based on measurements of real life systems or on the behaviour of simpler models. This is essential work for example for the process engineer implementing simulation, control and optimization of chemical processes for design and operational purposes. This fourth in a suite of five practical guides is 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. The volume focuses on differential and differential-algebraic systems, providing numerous real-life industrial case studies to illustrate this complex topic. It describes the methods, innovative techniques and strategies that are all implemented in a freely available toolbox called BzzMath, which is developed and maintained by the authors and provides up-to-date software tools for all the methods described in the book. Numerous examples, sample codes, programs and applications are taken from a wide range of scientific and engineering fields, such as chemical engineering, electrical engineering, physics, medicine, and environmental science. As a result, engineers and scientists learn how to optimize processes even before entering the laboratory. With additional online material including the latest version of BzzMath Library, installation tutorial, all examples and sample codes used in the book and a host of further examples.

Mathematical Modelling of Gas-Phase Complex Reaction Systems: Pyrolysis and Combustion, Volume 45, gives an overview of the different steps involved in the development and application of detailed kinetic mechanisms, mainly relating to pyrolysis and combustion processes. The book is divided into two parts that cover the chemistry and kinetic models and then the numerical and statistical methods. It offers a comprehensive coverage of the theory and tools needed, along with the steps necessary for practical and industrial applications.

This volume presents both methodologies and numerical applications for the design of non-conventional unit operations in chemical processes and plants, which are rarely studied in depth at an academic level but have wide applications in the industrial sector. The first part discusses the design, comparison and optimization of heating and cooling operations that are different from simple heat exchange. The second and larger part offers a brief but effective overview of non-conventional separation processes, mainly focusing on the heterogeneous phases. Based on sample case studies, it extrapolates the process model equations and includes the numerical solution in order to provide a straightforward application example. The end of each chapter features a C++ code implementation to solve the ODE or nonlinear equations system using the BzzMath library.

With this volume the authors Buzzi-Ferraris and Manenti explain the theoretical aspects of linear programming in chemical engineering in an informal way, giving way to an applied approach to this scientific discipline. As a result, readers can tackle specific problems in linear programming and develop the skills to implement an appropriate program and ad hoc algorithm to solve it. The book begins with an introduction to current methods in linear programming, focusing on the solution of concrete problems and including many examples, applications, code samples, programming, and overall programs. The strengths of the book are the numerous case studies and examples dealing with, amongst others, problems in transportation, blending, and petroleum-refining operations, as well as such large-scale operations as enterprise-wide optimization, production scheduling, the planning of decentralized productions, and the allocation of carbon dioxide emissions. All the examples are based on the established BzzMath library, which is freely available and was developed by Buzzi-Ferraris himself, with sample codes and the software itself provided online. As with previous volumes in this series, special icons highlight important features and concepts and facilitate orientation.