Reduced Order Methods for Modeling and Computational Reduction

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Quarteroni, Alfio (Επιμελητής έκδοσης), Rozza, Gianluigi (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Σειρά: MS&A - Modeling, Simulation and Applications, 9
• Θέματα: Mathematics.; Numerical analysis.; Computer mathematics.; Mathematical models.; Physics.; Applied mathematics.; Engineering mathematics.; Continuum mechanics.; Computational Mathematics and Numerical Analysis.; Numeric Computing.; Appl.Mathematics/Computational Methods of Engineering.; Mathematical Modeling and Industrial Mathematics.; Continuum Mechanics and Mechanics of Materials.; Numerical and Computational Physics.

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

Πίνακας περιεχομένων:

• 1 W. H. A. Schilders, A. Lutowska: A novel approach to model order reduction for coupled multiphysics problems
• 2 A. C. Ionita, A. C. Antoulas: Case study. Parametrized Reduction using Reduced-Basis and the Loewner Framework
• 3 M. Bebendorf, Y. Maday, B. Stamm: Comparison of some reduced representation approximations
• 4 H. Antil, M. Heinkenschloss, D. C. Sorensen: Application of the Discrete Empirical Interpolation Method to Reduced Order Modeling of Nonlinear and Parametric System
• 5 K. Urban, S. Volkwein, O. Zeeb: Greedy Sampling using Nonlinear Optimization
• 6 P. Benner, L. Feng: A Robust Algorithm for Parametric Model Order Reduction based on Implicit Moment Matching
• 7 F. Chen, J. S. Hesthaven, X. Zhu: On the use of reduced basis methods to accelerate and stabilize the Parareal method
• 8 C. Farhat, D. Amsallem: On the stability of reduced-order linearized computational fluid dynamics models based on POD and Galerkin projection: descriptor vs non-descriptor forms
• 9 T. Lassila, A. Manzoni, A. Quarteroni, G. Rozza: Model Order Reduction in Fluid Dynamics: Challenges and Perspectives
• 10 L. Grinberg, M. Deng, A. Yakhot, G. Karniadakis: Window Proper Orthogonal Decomposition. Application to Continuum and Atomistic Data
• 11 M. Bergmann, T. Colin, A. Iollo, D. Lombardi, O. Saut, H. Telib: Reduced order models at work in Aeronautics and Medicine.