Publication List
Books & Lecture Notes
- D. Bertaccini and F. Durastante. Iterative Methods and Preconditioning for Large and Sparse Linear Systems with Applications. Chapman & Hall/CRC Monographs and Research Notes in Mathematics. CRC Press, 2018. ISBN : 9781498764179. URL : https://bit.ly/2RmEYey.
- C. Garoni, F. Durastante, M. Mazza, and S. Serra-Capizzano. “Generalized Locally Toeplitz Sequences: A Spectral Analysis Tool for Approximated Differential Equations and Few Selected Examples”. In: XVI BSCG Notes – XVI Brazilian School of Cosmology and Gravitation, Rio de Janeiro. June 2017.
Journal articles
- M. Benzi, D. Bertaccini, F. Durastante, and I. Simunec. “Nonlocal network
dynamics via fractional graph Laplacians”. In: Journal of Complex Networks (2020). eprint: arXiv:1912.07288. In Press - Evaluating visibility at sea: Instrumental data and historical nautical records. Mount Etna from the Calabrian Ionian coast (Italy)”. The Journal of Island and Coastal Archaeology (2020), DOI: 10.1080/15564894.2020.1755394 “
- D. Bertaccini and F. Durastante. “Computing functions of very large matrices with small TT/QTT ranks by quadrature formulas”. In: Journal of Computational and Applied Mathematics, 370, (2020), DOI: 10.1016/j.cam.2019.112663.
- F. Durastante, “Efficient solution of time-fractional differential equations with a new adaptive multi-term discretization of the generalized Caputo–Dzherbashyan derivative”. In: Calcolo, 56(4), (2019), 36. DOI: 10.1007/s10092-019-0329-0.
- L. Aceto, D. Bertaccini, F. Durastante, and P. Novati. “Rational Krylov methods for functions of matrices with applications to fractional partial differential equations”. In: Journal of Computational Physics 396 (2019), 470–482. DOI: 10.1016/j.jcp.2019.07.009.
- D. Bertaccini and F. Durastante “Block structured preconditioners in tensor form for the all-at-once solution of a finite volume fractional diffusion equation”. In Applied Mathematics Letter 95 (2019), 92–97. DOI: 10.1016/j.aml.2019.03.028.
- D. Bertaccini and F. Durastante. “Limited Memory Block Preconditioners for Fast Solution of Fractional Partial Differential Equations”. In: Journal of Scientific Computing 77.2 (Nov. 2018), pp. 950–970. ISSN: 1573-7691. DOI : 10.1007/s10915-018-0729-3. URL: https://doi.org/10.1007/s10915-018-0729-3.
- D. Bertaccini, M. Popolizio, and F. Durastante. “Efficient approximation of functions of some large matrices by partial fraction expansions”. In: International Journal of Computer Mathematics (Oct. 2018). DOI: 10.1080/00207160.2018.1533123. eprint: arXiv: 1709.06351. In Press.
- S. Cipolla, C. Di Fiore, F. Durastante, and P. Zellini. “Regularizing properties of a class of matrices including the optimal and the superoptimal preconditioners”. In: Numerical Linear Algebra with Applications 26.2 (2018). e2225 nla.2225, e2225. DOI: 10.1002/nla.2225.
eprint: https://onlinelibrary.wiley.com/doi/pdf/10.1002/nla.2225. URL: https://onlinelibrary.wiley.com/doi/abs/10.1002/nla.2225. - S. Cipolla and F. Durastante. “Fractional PDE constrained optimization: An optimize-then-discretize approach with L-BFGS and approximate inverse preconditioning”. In: Applied Numerical Mathematics 123 (2018), pp. 43–57. DOI: 10.1016/j.apnum.2017.09.001.
- D. Bertaccini, M. Donatelli, F. Durastante, and S. Serra-Capizzano. “Optimizing a multigrid Runge–Kutta smoother for variable-coefficient convection-diffusion equations”. In: Linear Algebra and Its Applications 533 (2017), pp. 507–535. DOI: 10.1016/j.laa.2017.07.
- D. Bertaccini and F. Durastante. “Solving mixed classical and fractional partial differential equations using short-memory principle and approximate inverses”. In: Numerical Algorithms 74.4 (Apr. 2017), pp. 1061–1082. ISSN: 1572-9265. DOI: 10.1007/s11075-016-0186-8. URL: https://doi.org/10.1007/s11075-016-0186-8.
- D. Bertaccini and F. Durastante. “Interpolating preconditioners for the solution of sequence of linear systems”. In: Computers and Mathematics with Applications 72.4 (2016), pp. 1118–1130. DOI: 10.1016/j.camwa.2016.06.023.
Proceedings
- D. Bertaccini and F. Durastante. “Efficient Preconditioner Updates for Semilinear Space-Time Fractional Reaction-Diffusion Equations”. In: Structured Matrices in Numerical Linear Algebra. Ed. by Bini D., Di Benedetto F., Tyrtyshnikov E., and M. Van Barel. Cham: Springer International Publishing, 2019, pp. 285-302. Springer INdAM Series, vol 30. ISBN: 978-3-030-04087-1. DOI: 10.1007/978-3-030-04088-8_15. URL: https://doi.org/10.1007/978-3-030-04088-8_15.
- F. Durastante and S. Cipolla. “Fractional PDE Constrained Optimization: Box and Sparse Constrained Problems”. In: Numerical Methods for Optimal Control Problems. Ed. by Maurizio Falcone, Roberto Ferretti, Lars Grüne, and William M. McEneaney. Cham: Springer International Publishing, 2018, pp. 111–135. Springer INdAM Series, vol 29. ISBN: 978-3-030-01959-4. DOI: 10.1007/978-3-030-01959-4_6. URL: https://doi.org/10.1007/978-3-030-01959-4_6.
- F. Durastante. “Interpolant Update of Preconditioners for Sequences of Large Linear Systems”. In: Mathematical Methods, Computational Techniques and Intelligent Systems (MAMECTIS ’15). Vol. 41. WSEAS Press. 2015, pp. 40–47.
Preprints, Submitted and In Preparation
- P. Birken, F. Durastante, and S. Serra-Capizzano. “Computing the GLT Symbol for PDEs Discretized on Regular Grids”. In Preparation.
- S. Cipolla, M. Donatelli, and F. Durastante. “Matrix–Function Preconditioners for Iterative Regularization”. In Preparation.
- P. Dell’Acqua and F. Durastante. “New periodicontinuous boundary conditions for fast and accurate image restoration”. In Preparation.
- S. Cipolla, F. Durastante, and F. Tudisco. “Nonlocal PageRank”. In Preparation.
- D. Bertaccini and F. Durastante. “Computing function of large matrices by a preconditioned rational Krylov method”. Submitted.
- F. Durastante and I. Furci. “Spectral Analysis of Saddle-point Matrices from Optimization problems with Elliptic PDE Constraints”. (Mar. 2019). eprint: arXiv:1903.01869. Submitted.
Review and Editorial Board
Associate Editor for Journal of Mathematical Modeling (JMM) (ISSN: 2345-394X).
Reviewer for: Numerical Algorithms (20), Applied Numerical Mathematics (4), Applied Mathematics and Computation (3), Calcolo (2), Mathematics – MDPI (2), Symmetry – MDPI (3), Numerical Mathematics: Theory, Methods and Applications (1), Boundary Value Problems (1), FILOMAT (1), Journal of Inequalities and Applications (1), Euro–Par 2018 (1), International Journal of Computer Mathematics (1), AMS/MathSciNet (Mathematical Reviews).
Convegni e Workshop
- 17th International Conference on Mathematical Methods, Comptutational Techniques and Intelligent Systems (MAMECTIS ’15), Tenerife, Canary Islands, Spain – January 10-12, 2015
- Tenuto il talk dal titolo “Interpolant update of preconditioners for sequences of large linear systems“
- 13th EUROPT Workshop on Advances in Continuous Optimization, 8-10 July, 2015: Edinburgh
- Tenuto il talk dal titolo “The update of sequences of some incomplete decompositions matrices for preconditioning“
- Innovation & Growth, a process entangling public and private sectors
September 17-18, 2015: Auditorium Spazio Como – Como IT - 9th Workshop SDS2016 – Structural Dynamical Systems: Computational Aspects, 14-17 June, 2016: Capitolo, Monopoli, Italy.
- Presentato il poster dal titolo “Solving mixed classical and fractional partial differential equations Short-memory principle and approximate inverses“
- Due Giorni di Algebra Lineare Numerica, 16-17 Febbraio, 2016, Como (CO), Italia
- Tenuto il talk dal titolo “Solving mixed classical and fractional partial differential equations Short-memory principle and approximate inverses“
- Numerical methods for optimal control problems: algorithms, analysis and applications, Roma, June, 19-23, 2017, Istituto Nazionale di Alta Matematica – INdAM
- Tenuto il talk dal titolo “Fractional PDEs Constrained Optimization: An optimize-then-discretize approach with L-BFGS and Approximate Inverse Preconditioning“
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Structured Matrices in Numerical Linear Algebra: Analysis, Algorithms and Applications, Cortona, Italy, September 4-8, 2017 – INdAM Meeting
- Presentati i poster dal titolo: “Fast Solution of Fractional Differential Equation” e “Fractional PDE Constrained Optimization: An optimize-then-discretize approach with L-BFGS and Approximate Inverse Preconditioning“
- Quantitative Systems: Theory and Applications (QuaSy 2017). Como, Italy. October, 16-17, 2017.
- INdAM Workshop “Design of Reliable, Exact,and Application-oriented technologies for geometric Modeling and numerical Simulation (DREAMS)” INdAM, Rome, Italy, from 22 to 26,January 2018.
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Due giorni di Algebra Lineare Numerica e Applicazioni. Padua, Italy, from 8 to 9 February 2018.
- Tenuto il talk dal titolo: “Fast Solution of Time-Dependent Fractional PDEs: Sparse and Limited Memory Block Preconditioners”
- Convegno 2018 Del Gruppo Nazionale per Il Calcolo Scientifico Dell’INDAM, Hotel Belvedere, Montecatini Terme, Italy, from 14 to 16 February 2018.
- SIAM conference on Applied Linear Algebra, Hong Kong, 4-8 May 2018.
- Tenuto il talk dal titolo: “Limited memory block preconditioners for fast solution of time-dependent fractional PDEs”
- Calcolo Scientifico e Modelli Matematici: alla ricerca delle cose nascoste attraverso le cose manifeste 2.0, Como, 16-18 Maggio 2018
- Presentato il poster dal titolo: “Efficient Solution of Time-Fractional Differential Equations with a New Adaptive Multi-Term Discretization of the Generalized Caputo–Dzherbashyan Derivative”
- 10th Workshop SDS2018, Structural Dynamical Systems: Computational Aspects, Porto Giardino Resort, Capitolo (Monopoli) – Bari, Italy, June 12-15, 2018
- Tenuto il talk dal titolo: “Limited memory block preconditioners for fast solution of FPDEs”
- Congresso Nazionale SIMAI 2018, Roma, July 2-6, 2018
- Tenuto il talk dal titolo: “Fast and reliable solution of fractional PDE constrained optimization problems”
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Rome-Moscow school of Matrix Methods and Applied Linear Algebra 2018, July 28-August 11 (Moscow), September 9-23 (Rome)
- Tenuto il seminario dal titolo: “A Numerical Linear Algebra Perspective on Fractional Differential Equations”
- GAMM activity group on applied and numerical linear algebra workshop, Lund, Sweden, October 10–18, 2018.
- Tenuto il talk dal titolo: “Limited memory block preconditioners for fast solution of FPDEs”.
- Due giorni di Algebra Lineare Numerica, Sapienza Università di Roma. February 18–19, 2019.
- Tenuto il talk dal titolo: “Some fast algorithms for the large structured linear systems of FPDEs”
- International Congress on Industrial and Applied Mathematics (ICIAM2019), Valencia, Spain.
- Minisymposium: organizer of the minisymposium “Advances in Fractional Differential Equations: Discretization Methods and Efficient Solvers”, together with M. Mazza.
- Tenuto il talk dal titolo: “A Numerical Perspective on Fractional Differential Equations”.
- European Numerical Mathematics and Advanced Applications Conference 2019 (ENUMATH2019), Egmond aan Zee, The Netherlands.
- Talk: “Spectral Analysis of Saddle-point Matrices from Optimal Control PDE Problems”
- School on “Mathematical and Computational Aspects of Machine Learning”. Centro di Ricerca Matematica Ennio De Giorgi, Pisa (PI), Italy. October 7-11, 2019
- Convegno e Assemblea Gruppo Nazionale Calcolo Scientifico 2020 GNCS–INdAM. Hotel Belvedere, Montecatini Terme (Italy). February, 11-13, 2020.
- Talk: “Convergenza e scalabilità di un metodo multigrid algebrico con aggregazione basata sul matching di grafo:
analisi teorica e aspetti computazionali in ambienti HPC”
- Talk: “Convergenza e scalabilità di un metodo multigrid algebrico con aggregazione basata sul matching di grafo:
- 16th Copper Mountain Conference On Iterative Methods. Copper Mountain, Colorado (USA). March 21-26, 2020.
- Talk: “Finding AMG aggregates in a haystack: from maximum product matching to scalable solvers”
Certificazioni
Certificazione | Ente | Da | A | ||
---|---|---|---|---|---|
1 | First Certificate in English | University of Cambridge (ESOL Examinations) | Giugno 2008 | presente | ![]() |
2 | Game Theory | Stanford University & The University of British Columbia | Febbraio 2013 | presente | ![]() |
3 | Linear and Discrete Optimization | École Polytechnique Fédérale de Lausanne | Aprile 2013 | presente | ![]() |
4 | Computing for Data Analysis | Johns Hopkins University | Ottobre 2013 | presente | ![]() |
5 | Gamification | University of Pennsylvania | Marzo 2015 | presente | ![]() |
6 | University Teaching 101 | Johns Hopkins University | Maggio 2015 | presente | ![]() |
7 | Getting Started With Python | University of Michigan | Novembre 2015 | presente | ![]() |
8 | Quantitative Biology Workshop | MITx | Maggio 2016 | presente | ![]() |
Esami e Corsi
Esame | Voto | Esame | Voto |
---|---|---|---|
Complementi di Analisi Matematica 1 (Teoria della Misura) | 27 | Complementi di Analisi Numerica 1 (Metodi Numerici per l'Approssimazione) | 30 |
Teoria delle Rappresentazioni 1 | 30 | Laboratorio di Calcolo | 30 |
Metodi Numerici per le PDE | 30L | Lingua Inglese E3 | Idoneo |
Complementi di Analisi Numerica 2 | 30 | Codifica e Compressione di Segnali e Immagini | 29 |
Complementi di Probabilità | 27 | Meccanica Analitica e Celeste | 30 |
Complementi di Analisi Matematica 2 (Analisi Funzionale) | 30 | Metodi Numerici per l'Ottimizzazione | 30L |
Storia della Scienza | 28 |
Dottorato in Informatica e Matematica del Calcolo
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- Deterministic/probabilistic Dynamical systems with applications to extreme events theory, Prof. Vaienti
- Joint spectral radius and optimization for subdivision, Prof. M. Charina
- Introduction to Multigrid, Prof. M. Donatelli
- Krylov subspace methods for discrete ill-posed problem, Prof. P. Novati
- Macroscopic and Kinetic Models of Vehicular Traffic Flows, Prof. A. Tosin
- Exploiting Hidden Structure in Matrix Computations. Algorithms and Applications
CIME-EMS Summer School in applied mathematics
June 22 – June 26, 2015 – Cetraro (CS)
(Scuola seguita con borsa Full Board del CIME) - Computational Finance, Prof.dr. Cornelis W. Oosterlee
- Toeplitz e Localmente Toeplitz come strumenti di indagine spettrale per EDP approssimate, Prof. S. Serra-Capizzano
- Introduction to Isogeometric Analysis, Prof. C. Manni, Dr. F. Pelosi, Dr. H. Speleers
- Network analysis, orthogonal polynomials, and Gauss quadrature – L. Reichel
- Frontiers in Partial Differential Equations Analysis and Solvers
Summer school supported by the Department of Mathematics F. Casorati (Pavia) and by Fondazione Alma Mater Ticinenis.
May 22 – 25, 2017 - Splines and PDEs: Recent Advances from Approximation Theory to Structured Numerical Linear Algebra
CIME-EMS Summer School in applied mathematics
July 3 – Jult 7, 2017 – Cetraro (CS)
(Scuola seguita con borsa Partial Grant del CIME, estesa a Full Board)