Model Order Reduction and Applications

Cetraro, Italy 2021

Michael Hinze, J. Nathan Kutz, Olga Mula, Karsten Urban (Autoren)

Maurizio Falcone, Gianluigi Rozza (Herausgeber)

Buch | Softcover

XIV, 230 Seiten

2023 | 1st ed. 2023
Springer International Publishing (Verlag)
978-3-031-29562-1 (ISBN)

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This book addresses the state of the art of reduced order methods for modelling and computational reduction of complex parametrised systems, governed by ordinary and/or partial differential equations, with a special emphasis on real time computing techniques and applications in various fields.

Consisting of four contributions presented at the CIME summer school, the book presents several points of view and techniques to solve demanding problems of increasing complexity. The focus is on theoretical investigation and applicative algorithm development for reduction in the complexity - the dimension, the degrees of freedom, the data - arising in these models.

The book is addressed to graduate students, young researchers and people interested in the field. It is a good companion for graduate/doctoral classes.

- 1. The Reduced Basis Method in Space and Time: Challenges, Limits and Perspectives. - 2. Inverse Problems: A Deterministic Approach Using Physics-Based Reduced Models. - 3. Model Order Reduction for Optimal Control Problems. - 4. Machine Learning Methods for Reduced Order Modeling.

Erscheinungsdatum	22.06.2023
Reihe/Serie	C.I.M.E. Foundation Subseries
Reihe/Serie	Lecture Notes in Mathematics
Zusatzinfo	XIV, 230 p. 57 illus., 47 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	464 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
Schlagworte	Applied mathematics • Dynamic Mode Decomposition • Model order reduction • numerical simulation • optimal control • Partial differential equations • Reduced Order Modelling • Scientific Computing
ISBN-10	3-031-29562-5 / 3031295625
ISBN-13	978-3-031-29562-1 / 9783031295621
Zustand	Neuware