Curriculum

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

• 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.
• M. Benzi, D. Bertaccini, and F. Durastante. “Fractional dynamics on directed networks “. eprint: arXiv:1912.07288. 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.
• C. Mauro and F. Durastante. “A Unifying Framework for Seascape Visibility Analysis”. Oct. 2017. 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

1. 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“
2. 13^th 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“
3. Innovation & Growth, a process entangling public and private sectors
   September 17-18, 2015: Auditorium Spazio Como – Como IT
4. 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“
5. 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“
6. 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“
7. 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“
8. Quantitative Systems: Theory and Applications (QuaSy 2017). Como, Italy. October, 16-17, 2017.
9. 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.
10. 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”
11. Convegno 2018 Del Gruppo Nazionale per Il Calcolo Scientifico Dell’INDAM, Hotel Belvedere, Montecatini Terme, Italy, from 14 to 16 February 2018.
12. 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”
13. 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”
14. 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”
15. Congresso Nazionale SIMAI 2018, Roma, July 2-6, 2018
    • Tenuto il talk dal titolo: “Fast and reliable solution of fractional PDE constrained optimization problems”
16. 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”
17. 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”.
18. 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”
19. 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”.
20. 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”
21. School on “Mathematical and Computational Aspects of Machine Learning”. Centro di Ricerca Matematica Ennio De Giorgi, Pisa (PI), Italy. October 7-11, 2019
22. 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”
23. 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

Dottorato in Informatica e Matematica del Calcolo

• • 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)