Open access peer-reviewed Edited Volume

Advances in the Solution of Nonlinear Differential Equations

Bruno Carpentieri

Free University of Bozen-Bolzano

A senior researcher in applied mathematics and high-performance scientific computing, member of the scientific advisory board of international conference panels, editorial board member of scientific journals, a consultant for European projects.


Stability Analysis Dynamical Systems Bifurcation Chaotic Behaviour Models Discretization Linear Systems Domain Decomposition Methods Eigenvalue Problems Rootfinding Methods Fluid Dynamics Control Theory

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About the book

Nonlinear differential equations are ubiquitous in computational science and engineering modelling, e.g. in fluid dynamics, finance, quantum mechanics, material science, medical applications and biology, to name only a few areas. Nowadays, the solution of challenging problems in an industrial setting requires a continuous interplay between the theoretical analysis of such systems (the investigation of the existence and stability of analytical solutions, study of bifurcation and of chaotic dynamics, etc.) and the development and use of sophisticate computational methods that can guide and support the theoretical findings by practical computer simulations. Nonlinear control theory is a prominent example, as it needs advanced mathematical techniques to interact with objects and influence their behaviour. In the past decades, owing to the impressive development in computer technology and the introduction of fast numerical methods with reduced algorithmic and memory complexity, a rigorous solution of many applications has become possible. However, many problems still remain unsolved, and new ones continuously emerge requiring innovative solution approaches.

This book collects research papers from world leading experts in the field, highlighting ongoing trends, progress and open problems in this critically important area of mathematics and modern science.

Publishing process

Book initiated and editor appointed

Date completed: September 2nd 2020

Applications to edit the book are assessed and a suitable editor is selected, at which point the process begins.

Chapter proposals submitted and reviewed

Deadline for chapter proposals: September 30th 2020

Potential authors submit chapter proposals ready for review by the academic editor and our publishing review team.

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Approved chapters written in full and submitted

Deadline for full chapters: November 29th 2020

Once approved by the academic editor and publishing review team, chapters are written and submitted according to pre-agreed parameters

Full chapters peer reviewed

Review results due: February 17th 2021

Full chapter manuscripts are screened for plagiarism and undergo a Main Editor Peer Review. Results are sent to authors within 30 days of submission, with suggestions for rounds of revisions.

Book compiled, published and promoted

Expected publication date: April 18th 2021

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About the editor

Bruno Carpentieri

Free University of Bozen-Bolzano

Bruno Carpentieri obtained a Laurea degree in Applied Mathematics in 1997 from Bari University, then he furthered his Ph.D. studies in Computer Science at the National Polytechnic Institute of Toulouse. After some professional experiences as a postdoctoral researcher at the Karl-Franzens University of Graz, as a consultant for an European project in cardiac modelling at CRS4 in Sardinia, as an Assistant Professor at the University of Groningen and finally as a Reader in Applied Mathematics at the Nottingham Trent University, since May 2017 he is holding an Associate Professor appointment in Applied Mathematics at the Faculty of Computer Science, University of Bozen-Bolzano. The specialty of his research is numerical linear algebra with applications and high-performance scientific computing.

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Book chapters authored 2

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