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Book Chapter

Analisi Numerica e Ingegneria: sinergie e contaminazioni

  • Stefania Bellavia
  • Costanza Conti
  • Benedetta Morini
  • Alessandra Papini
  • Margherita Porcelli

The chapter “Numerical Analysis and Engineering: Synergies and Cross-Fertilization” highlights the role of numerical analysis as a cross-cutting tool supporting engineering research. Through the development of innovative methods and algorithms for optimization, mathematical modeling, and data processing, numerical analysis contributes to solving complex problems in energy, mechanics, materials science, and artificial intelligence. Interdisciplinary collaboration fosters scientific cross-fertilization, generating new theoretical insights and practical applications.

  • Keywords:
  • Industrial Engineering,
  • University of Florence,
  • Department of Industrial Engineering (DIEF),
  • Historical development,
  • Engineering education,
  • Mechanical engineering,
  • Energy engineering,
  • University–industry collaboration,
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Stefania Bellavia

University of Florence, Italy - ORCID: 0000-0002-3691-7836

Costanza Conti

University of Florence, Italy - ORCID: 0000-0001-6878-7784

Benedetta Morini

University of Florence, Italy - ORCID: 0000-0002-9213-3622

Alessandra Papini

University of Florence, Italy - ORCID: 0000-0002-1356-613X

Margherita Porcelli

University of Florence, Italy - ORCID: 0000-0003-0183-1204

  1. Bellavia, S. et al. 2023. “A Stochastic First-Order Trust-Region Method with Inexact Restoration for Finite-Sum Minimization.” Computational Optimization and Applications.
  2. Bellavia, S., Krejic, N. e B. Morini. “Inexact Restoration with Subsampled Trust-Region Methods For Finite-Sum Minimization.” Computational Optimization and Applications.
  3. Cai, J. F., Candès, E. J., e Z. Shen. 2010. “A Singular Value Thresholding Algorithm For Matrix Completion.” SIAM Journal on Optimization.
  4. Carcasci, C. et al. 2016. “A New Modular Procedure For Industrial Plant Simulations And Its Reliable Implementation.” Energy 94(1): 380-90.
  5. Marini, L., Morini, B. e M. Porcelli. 2018. “Quasi-Newton Methods for Constrained Nonlinear Systems: Complexity Analysis and Application.” Computational Optimization and Applications 72(1): 147-70.
  6. Meli, E. et al. 2022. “Solving Nonlinear Systems of Equations Via Spectral Residual Methods: Stepsize Selection and Applications.” Journal of Scientific Computing 90: 30.
  7. Shi, Z. et al. 2023. “A Degraded Adhesion Model for Creep Force Calculation Based on the Contact Algorithm.” Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit.
  8. Schwartz, R. et al. 2020. “Green AI.” Commun.
  9. Silei, M. et al. 2023. “Recovering Corrupted Data in Wind Farm Measurements: A Matrix Completion Approach.” Energies 16: 1996-2073.
  10. Zini, M. et al. 2024. “Tuning-free Stochastic Optimization for Neural Network Training in Building Energy Prediction.”
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  • Publication Year: 2026
  • Pages: 135-140
  • Content License: CC BY 4.0
  • © 2026 Author(s)

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  • Publication Year: 2026
  • Content License: CC BY 4.0
  • © 2026 Author(s)

Chapter Information

Chapter Title

Analisi Numerica e Ingegneria: sinergie e contaminazioni

Authors

Stefania Bellavia, Costanza Conti, Benedetta Morini, Alessandra Papini, Margherita Porcelli

Language

Italian

DOI

10.36253/979-12-215-0972-4.19

Peer Reviewed

Publication Year

2026

Copyright Information

© 2026 Author(s)

Content License

CC BY 4.0

Metadata License

CC0 1.0

Bibliographic Information

Book Title

Ingegneria Industriale & Ingegneria dell’Informazione per il territorio fiorentino

Book Subtitle

Ingegneria Industriale - Volume 1

Editors

Bruno Facchini, Giovanni Ferrara, Rocco Furferi

Peer Reviewed

Number of Pages

272

Publication Year

2026

Copyright Information

© 2026 Author(s)

Content License

CC BY 4.0

Metadata License

CC0 1.0

Publisher Name

Firenze University Press

DOI

10.36253/979-12-215-0972-4

ISBN Print

979-12-215-0971-7

eISBN (pdf)

979-12-215-0972-4

Series Title

Dialoghi con la società

Series ISSN

2975-0210

Series E-ISSN

2975-0334

30

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