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Scientific publications


Books

  1. A. Quarteroni, P. Gervasio. A Primer on Mathematical Modelling 2020, Springer Nature ISBN: 9783030445416 Springer web-page
  2. A. Quarteroni, P. Gervasio. I delfini delle Eolie, i battiti del cuore, i motori di ricerca Modelli matematici per comprendere, simulare, esplorare. 2019, Zanichelli ISBN: 9788808920553 Zanichelli web-page
  3. A. Quarteroni, F. Saleri, P. Gervasio. Calcolo Scientifico. Esercizi e problemi risolti con MATLAB e Octave. 6a Edizione., 2017, XX, 523 p. Springer. ISBN: 978-88-470-3952-0 Springer web-page, e-book
  4. A. Quarteroni, F. Saleri, P. Gervasio. Scientific Computing with MATLAB and Octave. in Japanese, translation of the 3rd english version of the book, 2014, Maruzen Publishing Co. ISBN 978-4-621-06521-1. Japanese web-page
  5. A. Quarteroni, R. Sacco, F. Saleri, P. Gervasio. Matematica Numerica. 4a Edizione., 2014, 520 p. Springer. ISBN: 978-88-470-5643-5 Springer web-page, e-book
  6. A. Quarteroni, F. Saleri, P. Gervasio. Scientific Computing with MATLAB and Octave. Series: Texts in Computational Science and Engineering, Vol. 2. 4th Edition., 2014, XVI, 442 p., Hardcover. Springer. ISBN: 978-3-642-45366-3 Springer web-page
  7. A. Quarteroni, F. Saleri, P. Gervasio. Calcolo Scientifico. Esercizi e problemi risolti con MATLAB e Octave. 5a Edizione., 2012, XVIII, 450 p. Springer. ISBN: 978-88-470-2744-2. Springer web-page
  8. A. Quarteroni, F. Saleri, P. Gervasio. Calcul Scientifique - Cours, exercices corrigés et illustrations en Matlab et Octave. 2nd Edition., 2010, 360 p., Broché. Springer. ISBN: 978-88-470-1675-0 Springer web-page
  9. A. Quarteroni, F. Saleri, P. Gervasio. Scientific Computing with MATLAB and Octave. Series: Texts in Computational Science and Engineering, Vol. 2. 3rd Edition., 2010, XVI, 360 p., Hardcover. Springer. ISBN: 978-3-642-12429-7 Springer web-page
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Articles

  1. M. Discacciati, P. Gervasio. (2024) A coupling concept for Stokes-Darcy systems: The ICDD method. Journal of Computational Physics. 513, 113204 (2024). (online: 19 June 2024) DOI: 10.1016/j.jcp.2024.113204.
  2. G. Gilioli, A. Simonetto, I.G. Weber, P. Gervasio, G. Sperandio, D. Bosco, N. Bodino, C. Dongiovanni, M. Si Carolo, V. Cavalieri, M.Saponari, D. Boscia. (2024) A model for predicting the phenology of Philaenus spumarius. Scientific Reports. 14, Article number: 8137 (published 7 April 2024)DOI: 10.1038/s41598-024-58798-x
  3. E. Zappon, A. Manzoni, P. Gervasio, and A. Quarteroni. (2024) A reduced order model for domain decompositions with non-conforming interfaces. Journal of Scientific Computing. 99, 22. (published: 11 March 2024) DOI: 10.1007/s10915-024-02465-w. Preprint: arXiv:2206.09618
  4. G. Gilioli, G. Sperandio, A. Simonetto, M. Ciampitti, B. Cavagna, A. Bianchi, A. Battisti, N. Mori, A. De Francesco, P. Gervasio. (2024) Predicting the spatio-temporal dynamics of Popillia japonica populations. Journal of Pest Science. (published 23 January 2024) DOI: 0.1007/s10340-023-01738-x
  5. P.A. Africa, M. Salvador, P. Gervasio, L. Dedè, and A. Quarteroni. (2023) A matrix-free high-order solver for the numerical solution of cardiac electrophysiology. Journal of Computational Physics. 111984. (Published on-line: 03 February 2023) DOI: 10.1016/j.jcp.2023.111984. Preprint: arXiv:2205.05136
  6. Yannis Voet, Guillaume Anciaux, Simone Deparis, Paola Gervasio. (2022) The INTERNODES method for applications in contact mechanics and dedicated preconditioning techniques. Computers & Mathematics with Applications. CAMWA10929 (Published on-line: 06 October 2022). Volume 127, pages 48-64, 1 December 2022. doi: 10.1016/j.camwa.2022.09.019
  7. L. Formaggia, P. Gervasio, Y. Maday, H.Z. Phu. (2022) Mathematical Modelling and Scientific Computing: an Effective Way to Understand Reality. Vietnam Journal of Mathematics (Published on-line: 03 October 2022). Editorial. 10.1007/s10013-022-00588-x
  8. G. Gilioli, G. Sperandio, A. Simonetto, M. Ciampitti, P. Gervasio. (2022) Risk of establishment and potential impacts of transient populations of Spodoptera frugiperda in Europe. Journal of Pest Science (Published on-line: 03 June 2022). doi: 10.1007/s10340-022-01517-0
  9. F. Colasuonno, F. Ferrari, P. Gervasio, A. Quarteroni. (2022) Some evaluations of the fractional p-Laplace operator on radial functions. Mathematics in Engineering. (Published on-line: 28 February 2022) Volume 5, Issue 1: 1-23. doi: 10.3934/mine.2023015
  10. S. Deparis, P. Gervasio. (2022) Conservation of Forces and Total Work at the Interface Using the Internodes Method. Vietnam J. Math. (published on-line 10 May 2022) doi: 10.1007/s10013-022-00560-9
  11. Zhouxiang Ding, Paola Gervasio, Wenjun Zhang, and Zhaohui Yang. (2022) Fillunger-Heinrich's Theory of Porodynamics: Predictive Power and Analytical Solution. Journal of Engineering Mechanics (ASCE). Volume 148 Issue 3. DOI: 10.1061/%28ASCE%29EM.1943-7889.0002058
  12. G. Gilioli, G. Sperandio, M. Colturato, S. Pasquali, P. Gervasio, A. Wilstermann, A.R. Dominic, G. Schrader . (2021) Non-linear physiological responses to climate change: the case of Ceratitis capitata distribution and abundance in Europe. Biological Invasions. DOI: 10.1007/s10530-021-02639-9
  13. G. Gilioli, G. Sperandio, A. Simonetto, M. Colturato, A. Battisti, N. Mori, M. Ciampitti, B. Cavagna, A. Bianchi, P. Gervasio. (2021) Modelling diapause termination and phenology of the Japanese beetle, Popillia japonica. Journal of Pest Science. DOI: 10.1007/s10340-021-01434-8
  14. G. Gilioli, P. Colli, M. Colturato, P. Gervasio, G. Sperandio. (2021) A nonlinear model for stage-structured population dynamics with nonlocaldensity-dependent regulation: An application to the fall armyworm moth. Mathematical Biosciences 335, 2 March 2021, Article number 108573. DOI: 10.1016/j.mbs.2021.108573
  15. P. Gervasio, L. Dedè, O. Chanon, A. Quarteroni. (2020) A computational comparison between Isogeometric Analysis and Spectral Element Methods: accuracy and spectral properties. Journal on Scientific Computing. 83, 1 April 2020, Article number 18. DOI: 10.1007/s10915-020-01204-1, Shareable link: https://rdcu.be/b3mes (preprint pdf-file)
  16. P. Gervasio, F. Marini (2020) The INTERNODES method for the treatment of non-conforming multipatch geometries in Isogeometric Analysis. Computer Methods in Applied Mechanics and Engineering. 358, 1 January 2020, Article number 112630. DOI: 10.1016/j.cma.2019.112630 (pdf file)
  17. M. Benedetti, P. Gervasio, D. Luscietti, M. Pilotelli, A.M. Lezzi. (2019) Point Thermal Transmittance of Rib Intersections in Concrete Sandwich Wall Panels. Heat Transfer Engineering, 40, Issue 13-14, pp. 1075-1084. DOI: 10.1080/01457632.2018.1457208 (pdf file)
  18. P. Gervasio, and A. Quarteroni. (2019) The INTERNODES Method for Non-conforming Discretizations of PDEs. Communications on Applied Mathematics and Computation, 1, pp. 361-401. DOI doi.org/10.1007/s42967-019-00020-1 (pdf file)
  19. P. Gervasio, and A. Quarteroni. (2018) Analysis of the INTERNODES method for non-conforming discretizations of elliptic equations. Computer Methods in Applied Mechanics and Engineering 334, pp. 138-166. DOI 10.1016/j.cma.2018.02.004 (pdf file)
  20. D. Forti, S. Deparis, P. Gervasio, A. Quarteroni, (2016) INTERNODES: an accurate interpolation-based method for coupling the Galerkin solutions of PDEs on subdomains featuring non-conforming interfaces. Computers & Fluids. 141, pp. 22-41. DOI dx.doi.org/10.1016/j.compfluid.2016.03.033 (pdf file)
  21. P. Pacciarini, P. Gervasio, A. Quarteroni. (2016) Spectral Based Discontinuous Galerkin Reduced Basis Element Method for Parametrized Stokes Problems Computers & Mathematics with Applications. 72 Issue 8, pp. 1977-1987. DOI doi:10.1016/j.camwa.2016.01.030 (pdf file)
  22. M. Discacciati, P. Gervasio, A. Giacomini, and A. Quarteroni. (2016) Interface Control Domain Decomposition (ICDD) Method for Stokes Darcy coupling. SIAM J. Numer. Anal. 54 (2), 1039-1068. DOI : dx.doi.org/10.1137/15M101854X ( pdf file)
  23. M. Discacciati, P. Gervasio, and A. Quarteroni. (2014) Interface Control Domain Decomposition Methods for Heterogeneous Problems Int. J. Num. Meth. Fluids vol. 76 Issue 8, pp. 471-496, doi: 10.1002/fld.3942 (pdf file)
  24. M. Discacciati, P. Gervasio and A. Quarteroni. (2013) The interface control domain decomposition (ICDD) method for the Stokes problem J. Coupled Syst. Multiscale Dyn. 1, 372-392. DOI: dx.doi.org/10.1166/jcsmd.2013.1026 (pdf file)
  25. M. Discacciati, P. Gervasio and A. Quarteroni. (2013) The Interface Control Domain Decomposition (ICDD) Method for Elliptic Problems. SIAM J. Control Optim., 51 (5), 3434--3458. DOI: dx.doi.org/10.1137/120890764 (pdf file)
  26. M. Discacciati, P. Gervasio, A. Quarteroni. (2012) Heterogeneous mathematical models in fluid dynamics and associated solution algorithms, in Multiscale and Adaptivity: Modeling, Numerics and Applications, Vol. 2040. DOI: 10.1007/978-3-642-24079-9_2 (pdf file from www.springer.com)
  27. P. Blanco, P. Gervasio, A. Quarteroni. Extended variational formulation for heterogeneous partial differential equations. (2011) Comp. Meth. in Applied Math. (CMAM) 11, no. 2, 141--172. DOI: dx.doi.org/10.2478/cmam-2011-0008 (pdf file)
  28. C. Canuto, P. Gervasio, A. Quarteroni. (2010) Finite-Element Preconditioning of G-NI Spectral Methods. SIAM J. Sci. Comput. 31, no. 6, 4422--4451. https://dx.doi.org/10.1137/090746367 (preliminary form: Quaderno del Seminario Matematico di Brescia n.01/2009) (pdf file)
  29. Paola Gervasio.(2008) Convergence Analysis of High Order Algebraic Fractional Step Schemes for Time-Dependent Stokes Equations. SIAM J. Numer. Anal. 46, no. 4, 1682--1703. https://dx.doi.org/10.1137/070682800 (preliminary form: Quaderno del Seminario Matematico di Brescia n.24/2006) (pdf file)
  30. V. Agoshkov, P. Gervasio, A. Quarteroni. (2006) Optimal control in heterogeneous domain decomposition methods for advection-diffusion equations. Mediterr. J. Math. 3, no. 2, 147--176. DOI: 10.1007/s00009-006-0070-1 (pdf file)
  31. P. Gervasio, F. Saleri. (2006) Algebraic fractional-step schemes for time-dependent incompressible Navier-Stokes equations. Journal of Scientific Computing 27, no. 1-3, pp. 257--269. DOI: 10.1007/s10915-005-9051-y (pdf file)
  32. P. Gervasio, F. Saleri, A. Veneziani. (2006) Algebraic fractional-step schemes with spectral methods for the incompressible Navier-Stokes equations. Journal of Computational Physics. 214, no. 1, 347-365. doi:10.1016/j.jcp.2005.09.018 (pdf file)
  33. V. Agoshkov, P. Gervasio, A. Quarteroni. (2005) Optimal control in heterogeneous domain decomposition methods. Russian J. Numer. Anal. Math. Modelling 20, no. 3, 229--246. DOI: 10.1515/1569398054308603,
  34. Paola Gervasio. (2005) Homogeneous and heterogeneous domain decomposition methods for plate bending problems. Comput. Methods Appl. Mech. Engrg., 194, no. 42-44, 4321-4343. doi:10.1016/j.cma.2004.10.009 (pdf file)
  35. P. Gervasio, M.G. Naso. (2004) Numerical approximation of controllability of trajectories for Euler-Bernoulli thermoelastic plates. Math. Models Methods Appl. Sci., 14, no. 5, pp. 701-734. doi:10.1142/S0218202504003416 (pdf file)
  36. P. Gervasio, J.-L. Lions, A. Quarteroni. (2001) Heterogeneous coupling by virtual control methods. Numer. Math. 90, no. 2, pp. 241-264. doi:10.1007/s002110100303 (pdf file)
  37. L. Fatone, P. Gervasio, A. Quarteroni.(2001) Multimodels for incompressible flows: iterative solutions for the Navier-Stokes/Oseen coupling. Mathematical Modelling and Numerical Analysis 35, no. 3, pp. 549-574. doi:10.1051/m2an:2001126 (pdf file)
  38. L. Fatone, P. Gervasio, A. Quarteroni. (2000) Multimodels for incompressible flows. Journal of Mathematical Fluid Mechanics, 2, no. 2, 126--150. doi:10.1007/PL00000950 (pdf file)
  39. P.Gervasio, A.Quarteroni, F.Saleri. (2000) Spectral Approximation of Navier-Stokes Equations. in Fundamental Directions in Mathematical Fluid Mechanics, P. Galdi, J. Heywood and R. Rannacher, Eds., Birkhäuser, Basel, pp 71-128. doi.org/10.1007/978-3-0348-8424-2 (pdf file)
  40. P. Gervasio, F. Saleri. (1998) Stabilized Spectral Element Approximation for the Navier Stokes Equations. Numerical Methods for Partial Differential Equations 14, no. 1, 115--141. doi:10.1002/(SICI)1098-2426(199801)14:1<115::AID-NUM7>3.0.CO;2-T (pdf file)
  41. P. Gervasio, E. Ovtchinnikov, A. Quarteroni. (1997) The Spectral Projection Decomposition Method for elliptic equations in 2D. J. Numer. Anal. 34, no. 4, 1616--1639. https://dx.doi.org/10.1137/S0036142994265334 (pdf file)
  42. P. Gervasio. (1996) Fractional Step Methods for Spectral Approximation of Advection Diffusion Equations. Mathematical Models & Methods in Applied Sciences, 6, no. 7, 1027--1050. 10.1142/S0218202596000420 (pdf file)
  43. P. Gervasio, A. Quarteroni, L. Valdettaro. (1995) Effective Algorithms for Spectral Methods with Applications. Surv. Math. Ind. 4, no. 4, 319-336.
  44. C. Carlenzoli, P. Gervasio. (1992) Effective Numerical Algorithms for the Solution of Algebraic Systems Arising in Spectral Methods. Applied Numerical Mathematics 10, 87-113. DOI: 10.1016/0168-9274(92)90033-A
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Conference Papers (peer-reviewed proceedings, lecture notes, book chapters)

  1. P. Gervasio, and A. Quarteroni. (2018) INTERNODES for elliptic problems. in Domain Decomposition Methods in Science and Engineering XXIV (DD24). pp. 347-356. Lecture Notes in Computational Science and Engineering, Vol. 125. Springer International Publishing. DOI: 10.1007/978-3-319-93873-8_32 (preliminary form: Quaderno n. 11/2017 del Seminario Matematico di Brescia. May 2017. (pdf file))
  2. P. Gervasio, and A. Quarteroni. (2018) INTERNODES for heterogeneous couplings. in Domain Decomposition Methods in Science and Engineering XXIV (DD24). pp. 61-73. Lecture Notes in Computational Science and Engineering, Vol. 125. Springer International Publishing. DOI: 10.1007/978-3-319-93873-8_5 (preliminary form: Quaderno n. 10/2017 del Seminario Matematico di Brescia. May 2017. (pdf file))
  3. D. Luscietti, P. Gervasio, A.M. Lezzi. (2014) Computation of linear transmittance of thermal bridges in precast concrete sandwich panels. Journal of Physics: Conference Series. Vol. 547 Issue 1, doi:10.1088/1742-6596/547/1/012014
  4. P. Blanco, P. Gervasio, A. Quarteroni. (2013) Mortar coupling for heterogeneous partial differential equations. in Domain Decomposition Methods in Science and Engineering XX (DD20). pp. 443-450. Bank, R.; Holst, M.; Widlund, O.; Xu, J. (Eds.) Lecture Notes in Computational Science and Engineering, Vol. 91. Springer-Verlag, Berlin, XVI, 680 p. ISBN 978-3-642-35274-4. DOI: 10.1007/978-3-642-35275-1_49 (preliminary form: Quaderno n. 1/2012 del Seminario Matematico di Brescia) (pdf file)
  5. P. Gervasio, S. Piccagli, A. Visioli. (2009) On the Practical Implementation of Feedforward Control Signals Given in Polynomial Form. In Proceedings of 14th IEEE International Conference on Emerging Techonologies and Factory (ETFA'09), Mallorca, Spain, September 22-26, 2009, p. 1-7 doi: 10.1109/ETFA.2009.5347194 (pdf file)
  6. Paola Gervasio. (2003) Virtual Control for Fourth-Order Problems and for Heterogeneous Fourth-Order Second-Order Coupling. Numerical Mathematics and Advanced Applications. Brezzi F., Buffa A., Corsaro S., Murli A., (Eds.) In Numerical Mathematics and Advanced Applications. Proceedings of ENUMATH 2001, the 4th European Conference on Numerical Mathematics and Advanced Applications, Ischia, July 2001. Springer, pp. 827-836. doi: 10.1007/978-88-470-2089-4_75 (pdf file)
  7. P. Gervasio, J.-L. Lions, A. Quarteroni. (2002) Domain decomposition and virtual control for fourth order problems. In N. Debit et al. (eds) Proceedings of 13th International Conference on Domain Decomposition Methods. Centro Internacional de Metodos Numericos en Ingegneria. Barcelona. p. 263-269. (pdf file)
  8. L. Fatone, P. Gervasio, A. Quarteroni. (2001) Numerical solution of vascular flows by heterogeneous domain decomposition methods for incompressible flows. in Domain Decomposition Methods in Sciences and Engineering. Proceedings of 12th International Conference on Domain Decomposition Methods, Chiba, Japan, 1999. T. Chan, T. Kako, H. Kawarada, O. Pironneau (eds), DDM.org, Japan. pp. 297-304. (pdf file)
  9. L. Fatone, P. Gervasio, A. Quarteroni. (2000) Iterative solutions of multimodels for incompressible flows. ENUMATH 99 - Proceedings of the 3rd European Conference on Numerical Mathematics and Advanced Applications, Jyväskylä, Finland, July 26-30, 1999, ed. by P. Neittaanmäki, T. Tiihonen and P. Tarvainen, World Scientific, Singapore, pp 470-477. (pdf file)
  10. A. Brambilla, C. Carlenzoli, G. Gazzaniga, P. Gervasio, G. Sacchi. (1994) Implementation of domain decomposition Techniques on nCUBE2 Parallel Machine, Domain decomposition methods in science and engineering (Como, 1992), 345--351, Contemp. Math., 157, Amer. Math. Soc., Providence, RI. (pdf file)
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Technical Reports

  1. M. Discacciati, P. Gervasio. (2024) A coupling concept for Stokes-Darcy systems: the ICDD method arXiv:2401.12602A
  2. P. Gervasio, A. Quarteroni, and D. Cassani. (2022) Let the paintings play. Submitted arXiv:2206.14142
  3. M. Discacciati, P. Gervasio, and A. Quarteroni. (2013) Interface Control Domain Decomposition (ICDD) Methods for Coupled Diffusion and Advection-Diffusion Problems MOX report No. 18/2013. Dipartimento di Matematica, Politecnico di Milano. 2013. (pdf file)
  4. P. Gervasio. (1993) Stabilized Approximation for the Navier-Stokes equations. Quaderno n. 4/95 del Seminario Matematico di Brescia.
  5. A. Brambilla, C. Carlenzoli, G. Gazzaniga, P. Gervasio, G. Sacchi.  Solving elliptic boundary-value problems on a distributed memory parallelcomputer, Quaderno n. 11/93 del Seminario Matematico di Brescia.
  6. C. Carlenzoli, P. Gervasio. (1992) Implementation of the Dirichlet-Neumann procedure on hypercube architecture. Quaderno n. 2/92 del Seminario Matematico di Brescia.
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Other Publications

  1. P. Gervasio. Risoluzione di equazioni alle derivate parziali con metodi spettrali in regioni partizionate in sottodomini. Ph.D. Thesis. Università degli Studi di Milano, febbraio 1995. (pdf file)
  2. P. Gervasio. Algoritmi efficienti per metodi spettrali: tecniche di tipo diretto. Tesi di laurea, Brescia 1990.
  3. L. Fatone, P. Gervasio, A. Quarteroni. (2000) Un metodo di decomposizione di domini eterogeneo per le equazioni di Navier-Stokes incomprimibili. Atti del XIII Convegno Italiano di Meccanica Computazionale, Brescia, 13-15 Novembre 2000, ed. F. Genna et al., Società Editrice Esculapio, . pp 101-105.
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