Recent Stability Issues for Linear Dynamical Systems: Cetraro, Italy 2021 | Agenda Bookshop Skip to content
Online orders placed from 19/12 onward will not arrive in time for Christmas.
Online orders placed from 19/12 onward will not arrive in time for Christmas.
A01=Bart Vandereycken
A01=Christian Lubich
A01=Nicola Guglielmi
A01=Nicolas Gillis
A01=Punit Sharma
A01=Volker Mehrmann
Age Group_Uncategorized
Age Group_Uncategorized
Author_Bart Vandereycken
Author_Christian Lubich
Author_Nicola Guglielmi
Author_Nicolas Gillis
Author_Punit Sharma
Author_Volker Mehrmann
automatic-update
B01=Christian Lubich
B01=Nicola Guglielmi
Category1=Non-Fiction
Category=GPFC
Category=PBKJ
COP=Switzerland
Delivery_Pre-order
Language_English
PA=Not yet available
Price_€50 to €100
PS=Forthcoming
softlaunch

Recent Stability Issues for Linear Dynamical Systems: Cetraro, Italy 2021

This book concerns matrix nearness problems in the framework of spectral optimization. It addresses some current research directions in spectral-based stability studies for differential equations, with material on ordinary differential equations (ODEs), differential algebraic equations and dynamical systems. Here, stability is interpreted in a broad sense which covers the need to develop stable and reliable algorithms preserving some qualitative properties of the computed solutions, methodologies which are helpful to assess the onset of potential instabilities or loss of robustness, and tools to determine the asymptotic properties of the solution or its discretization.

The topics considered include the computation of robustness measures for linear problems, the use of low-rank ODEs to approximate such measures via gradient systems, the regularity, stability, passivity and controllability analysis of structured linear descriptor systems, and the use of acceleration techniques to deal with some of the presented computational problems.

Although the emphasis is on the numerical study of differential equations and dynamical systems, the book will also be of interest to researchers in matrix theory, spectral optimization and spectral graph theory, as well as in dynamical systems and systems theory.

See more
Current price €65.69
Original price €72.99
Save 10%
A01=Bart VandereyckenA01=Christian LubichA01=Nicola GuglielmiA01=Nicolas GillisA01=Punit SharmaA01=Volker MehrmannAge Group_UncategorizedAuthor_Bart VandereyckenAuthor_Christian LubichAuthor_Nicola GuglielmiAuthor_Nicolas GillisAuthor_Punit SharmaAuthor_Volker Mehrmannautomatic-updateB01=Christian LubichB01=Nicola GuglielmiCategory1=Non-FictionCategory=GPFCCategory=PBKJCOP=SwitzerlandDelivery_Pre-orderLanguage_EnglishPA=Not yet availablePrice_€50 to €100PS=Forthcomingsoftlaunch

Will deliver when available. Publication date 24 Jan 2025

Product Details
  • Dimensions: 155 x 235mm
  • Publication Date: 24 Jan 2025
  • Publisher: Springer International Publishing AG
  • Publication City/Country: Switzerland
  • Language: English
  • ISBN13: 9783031713255

About Bart VandereyckenChristian LubichNicola GuglielmiNicolas GillisPunit SharmaVolker Mehrmann

Nicola Guglielmi has been a full professor in Numerical Analysis at Gran Sasso Science Institute School of Advanced Studies since 2018 and a visiting professor at the Courant Institute University of Geneva University of Zurich McGill University and Georgia Institute of Technology. His research focuses on numerical methods for delay and functional differential equations eigenvalue optimization with applications to matrix nearness problems and data science switched and non smooth dynamical systems joint spectral characteristics of sets of linear operators implementation issues for stiff and implicit delay equations stability properties stiff problems and the development of related code. He edited with L. Dieci the volume Current challenges in stability issues for numerical differential equations. CIME Lecture Notes in Mathematics 2082 Springer Cham 2014. With Ernst Hairer he is the co-author of the software RADAR5. He was awarded the New Talent Prize (SciCADE Fraser Island) in 1999 and a young researcher prize (Volterra Centennial Tempe) in 1996. Christian Lubich is a professor of Numerical Mathematics at the University of Tübingen. In his research he develops and analyses numerical methods for time-dependent problems including ordinary differential equations and parabolic partial differential equations geometric flows wave propagation and quantum dynamics. Among the methods and techniques proposed and studied by him and his coauthors convolution quadrature exponential integrators modulated Fourier expansions for highly oscillatory problems and dynamical low-rank approximation have gained wide acceptance. He is the author with Ernst Hairer and Gerhard Wanner of Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations (Springer 2002 2006) and of From Quantum to Classical Molecular Dynamics: Reduced Models and Numerical Analysis (European Mathematical Society 2008). He was awarded the SIAM Dahlquist Prize in 2001 and was a plenary speaker at the International Congress of Mathematicians in 2018. 

Customer Reviews

Be the first to write a review
0%
(0)
0%
(0)
0%
(0)
0%
(0)
0%
(0)
We use cookies to ensure that we give you the best experience on our website. If you continue we'll assume that you are understand this. Learn more
Accept