Paola Gervasio - Department of Mathematics - University of Brescia - gervasio@ing.unibs.it
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Scientific publications


Books
  1. 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
  2. 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
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Journal Papers
  1. P. Blanco, P. Gervasio, A. Quarteroni. Extended variational formulation for heterogeneous partial differential equations. Comp. Meth. in Applied Math. (CMAM) 11 (2011), no. 2, 141--172. (pdf file)
  2. C. Canuto, P. Gervasio, A. Quarteroni. Finite-Element Preconditioning of G-NI Spectral Methods. SIAM J. Sci. Comput. 31 (2010), no. 6, 4422--4451. (preliminary form: Quaderno del Seminario Matematico di Brescia n.01/2009) (pdf file)
  3. Paola Gervasio. Convergence Analysis of High Order Algebraic Fractional Step Schemes for Time-Dependent Stokes Equations. SIAM J. Numer. Anal. 46 (2008), no. 4, 1682--1703. (preliminary form: Quaderno del Seminario Matematico di Brescia n.24/2006) (pdf file)
  4. V. Agoshkov, P. Gervasio, A. Quarteroni. Optimal control in heterogeneous domain decomposition methods for advection-diffusion equations. Mediterr. J. Math. 3 (2006), no. 2, 147--176. (pdf file)
  5. P. Gervasio, F. Saleri. Algebraic fractional-step schemes for time-dependent incompressible Navier-Stokes equations. Journal of Scientific Computing 27 (2006) no. 1-3, pp. 257--269.
  6. P. Gervasio, F. Saleri, A. Veneziani. Algebraic fractional-step schemes with spectral methods for the incompressible Navier-Stokes equations. Journal of Computational Physics. 214 (2006), no. 1, 347-365. doi:10.1016/j.jcp.2005.09.018
  7. V. Agoshkov, P. Gervasio, A. Quarteroni. Optimal control in heterogeneous domain decomposition methods. Russian J. Numer. Anal. Math. Modelling 20 (2005), no. 3, 229--246.
  8. Paola Gervasio. Homogeneous and heterogeneous domain decomposition methods for plate bending problems. Comput. Methods Appl. Mech. Engrg., 194 (2005), no. 42-44, 4321-4343.
  9. P. Gervasio, M.G. Naso. Numerical approximation of controllability of trajectories for Euler-Bernoulli thermoelastic plates. Math. Models Methods Appl. Sci., 14 (2004), no. 5, pp. 701-734.
  10. P. Gervasio, J.-L. Lions, A. Quarteroni. Heterogeneous coupling by virtual control methods, Numer. Math. 90 (2001), no. 2, pp. 241-264.
  11. L. Fatone, P. Gervasio, A. Quarteroni.  Multimodels for incompressible flows: iterative solutions for the Navier-Stokes/Oseen coupling, Mathematical Modelling and Numerical Analysis 35 (2001), no. 3, pp. 549-574.
  12. L. Fatone, P. Gervasio, A. Quarteroni. Multimodels for incompressible flows, Journal of Mathematical Fluid Mechanics, 2 (2000), no. 2, 126--150.
  13. P. Gervasio, F. Saleri. Stabilized Spectral Element Approximation for the Navier Stokes Equations. Numerical Methods for Partial Differential Equations 14 (1998), no. 1, 115--141.
  14. P. Gervasio, E. Ovtchinnikov, A. Quarteroni. The Spectral Projection Decomposition Method for elliptic equations in 2D. SIAM J. Numer. Anal. 34 (1997), no. 4, 1616--1639.
  15. P. Gervasio. Fractional Step Methods for Spectral Approximation of Advection Diffusion Equations, Mathematical Models & Methods in Applied Sciences, 6 (1996), no. 7, 1027--1050.
  16. P. Gervasio, A. Quarteroni, L. Valdettaro. Effective Algorithms for Spectral Methods with Applications, Surv. Math. Ind. 4 (1995), no. 4, 319-336.
  17. C. Carlenzoli, P. Gervasio. Effective Numerical Algorithms for the Solution of Algebraic Systems Arising in Spectral Methods Applied Numerical Mathematics 10 (1992), 87-113.
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Book Chapters
  1. M. Discacciati, P. Gervasio, A. Quarteroni. Heterogeneous mathematical models in fluid dynamics and associated solution algorithms, in Multiscale and Adaptivity: Modeling, Numerics and Applications, C.I.M.E. Summer School, Cetraro, Italy 2009. Editors: Giovanni Naldi, Giovanni Russo. Series: Lecture Notes in Mathematics, Vol. 2040 . January, 2010. (pdf file from www.springer.com)
  2. P.Gervasio, A.Quarteroni, F.Saleri. Spectral Approximation of Navier-Stokes Equations, in Fundamental Directions in Mathematical Fluid Mechanics, P. Galdi, J. Heywood and R. Rannacher, Eds., Birkhäuser, Basel 2000, pp 71-128.
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Conference Papers
  1. P. Gervasio, S. Piccagli, A. Visioli. 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
  2. Paola Gervasio. 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, 2003. pp. 827-836.
  3. P. Gervasio, J.-L. Lions, A. Quarteroni. 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, 2002. p. 263-269.
  4. L. Fatone, P. Gervasio, A. Quarteroni. 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, 2001, pp. 297-304.
  5. L. Fatone, P. Gervasio, A. Quarteroni. 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 2000, pp 470-477.
  6. L. Fatone, P. Gervasio, A. Quarteroni. 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, 2000. pp 101-105.
  7. A. Brambilla, C. Carlenzoli, G. Gazzaniga, P. Gervasio, G. Sacchi. 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, 1994.
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Technical Reports
  1. P. Blanco, P. Gervasio and A. Quarteroni. Mortar coupling for heterogeneous partial differential equations. Quaderno n. 1/2012 del Seminario Matematico di Brescia. Submitted to the proceedings of DD20 (20th International Conference on Domain Decomposition Methods). (pdf file)
  2. P. Gervasio. Stabilized Approximation for the Navier-Stokes equations. Quaderno n. 4/95 del Seminario Matematico di Brescia.
  3. 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.
  4. C. Carlenzoli, P. Gervasio. 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.
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