Modelling with Ordinary Differential Equations: A Comprehensive Approach

ISBN-13: 9781032336671 / Angielski / Miękka / 2022 / 404 str.

Alfio Borz?

Opis

Modelling with Ordinary Differential Equations: A Comprehensive Approach aims to provide a broad and self-contained introduction to the mathematical tools necessary to investigate and apply ODE models.

Recenzje

"Expertly written, organized and presented, Modelling with Ordinary Differential Equations: A Comprehensive Approach is an ideal textbook for college and university Numerical Analysis & Scientific Computing curriculums. [. . . ] unreservedly recommended as a critically important addition to academic library collections"

-Midwest Book Review

Spis treści

1. Introduction.  2. Elementary solution methods for simple ODEs.  3. Theory of ordinary differential equations.  4. Systems of ordinary differentail equations.  5. Ordinary differential equations of order n.  6. Stability of ODE systems.  7. Boundary and eigenvalue problems.  8. Numerical solution of ODE problems.  9. ODEs and the calculus of variations.  10. Optimal control of ODE models.  11. Inverse problems with ODE models.  12. Differential games.  13. Stochastic differential equations.  14. Neural networks and ODE problems. 

 

O autorze

Alfio Borzì, born 1965 in Catania (Italy), is the professor and chair of Scientific Computing at the Institute for Mathematics of the University of Würzburg, Germany. He studied Mathematics and Physics in Catania and Trieste where he received his PhD in Mathematics from Scuola Internazionale Superiore di Studi Avanzati (SISSA).

He served as Research Officer at the University of Oxford (UK) and as assistant professor at the University of Graz (Austria) where he completed his Habilitation and was appointed as Associate Professor. Since 2011 he has been Professor of Scientific Computing at University of Würzburg.

Alfio Borzi is the author of 3 mathematics books and numerous articles in journals. The main topics of his research and teaching activities are modelling and numerical analysis, optimal control theory and scientific computing. He is member of the editorial board for the SIAM Journal on
Scientific Computing and for SIAM Review.