Marco Vianello: scientific curriculum

Short CV

• Born in Venice on October 26, 1961
  
  
• Laurea (first degree) in Mathematics, 1987 at the University of Padova
  
  
• Ph.D. in Computational Mathematics, 1992 (italian north-eastern universities consortium: Bologna-Padova-Trieste-Udine), with the thesis Extensions and numerical applications of the Liouville-Green approximation, advisor Prof. R. Spigler, referee Prof. F.W.J. Olver (College Park, Maryland-USA)
  
  
• INdAM research fellowship (1991-1993)
  
  
• Lecturer of Numerical Analysis at the Faculty of Science of the University of Padova (1993-2000)
  
  
• Associate professor of Numerical Analysis at the Faculty of Science (2000-2011) and at the Dept. of Mathematics of the University of Padova (2012-)
  
  

Research results

• Author of 97 mathematical papers in the fields of Numerical Analysis, Approximation Theory and Mathematical Analysis with 24 coauthors, published in 44 international journals and book series, see online:
  
  complete list of mathematical publications
  
  list of publications in Numerical Analysis and Approximation Theory
  
  list of publications in Mathematical Analysis
  
  online publications and preprints with downloadable pdf
  
  software
  
  
  Topics :
  
  1. Multivariate approximation: polynomials, radial basis functions, numerical cubature (44 papers)
  
  2. Approximation of matrix exponentials and exponential integrators for ODEs/PDEs (8 papers)
  
  3. Constructive-numerical methods for integral equations and transforms (11 papers)
  
  4. Asymptotics: 2nd order differential and difference eqs./systems, fast summation, special functions (26 papers)
  
  5. Numerical functional analysis (8 papers)
  
  
  bibliometric highlights :
  
  
  • several papers (topic 1 and 2) quoted in the "state of the art" surveys:
    - M. Hochbruck and A. Ostermann, Exponential Integrators, Acta Numerica 19 (2010)
    - T. Bloom, L. Bos, J.-P. Calvi and N. Levenberg, Polynomial Interpolation and Approximation in C^d, Ann. Polon. Math. 106 (2012)
    
  • 3 papers (topic 4) quoted in the NIST Handbook of Mathematical Functions
  • 2 papers (topic 1) classified in the 25 Top Articles of J. Approx. Theory in 2006
  • MathSciNet: 87 papers cited 278 times by 118 distinct authors (max citations=23), h-index=9
  • Scopus: 72 papers cited 368 times by 174 documents (max citations=31), h-index=11
  • Google Scholar: 128 documents cited 844 times (max citations=47), h-index=15
    
  
  

my 5 most cited publications (in MathSciNet, Scopus and Google Scholar):


• Efficient computation of the exponential operator for large, sparse, symmetric matrices
  Numer. Linear Algebra Appl. 7 (2000), 27--45 (with L. Bergamaschi)
  quoted in M. Hochbruck, A. Ostermann, "Exponential Integrators", Acta Numerica 19 (2010)
  
  
• Bivariate Lagrange interpolation at the Padua points: the generating curve approach
  J. Approx. Theory 143 (2006), 15--25 (with L. Bos, M. Caliari, S. De Marchi, Y. Xu)
  classified in the TOP 25 Hottest Articles of JAT, Oct.-Dec. 2006
  
  
• Bivariate polynomial interpolation on the square at new nodal sets
  Appl. Math. Comput. 165/2 (2005), 261--274 (with M. Caliari, S. De Marchi)
  
  
• Efficient approximation of the exponential operator for discrete 2D advection-diffusion problems
  Numer. Linear Algebra Appl. 10 (2003), 271--289 (with L. Bergamaschi, M. Caliari)
  
  
• Interpolating discrete advection-diffusion propagators at Leja sequences
  J. Comput. Appl. Math. 172 (2004), 79--99 (with L. Bergamaschi, M. Caliari)
  quoted in M. Hochbruck, A. Ostermann, "Exponential Integrators", Acta Numerica 19 (2010)
  
  

my papers in some well-reputed journals in Numerical Mathematics:


• The "phase function" method to solve second-order asymptotically polynomial differential equations
  Numer. Math. 3 (2012), 565--586 (with R. Spigler)
  
  
• Geometric Weakly Admissible Meshes, Discrete Least Squares Approximations and Approximate Fekete Points
  Math. Comp. 80 (2011), 1601--1621 (with L. Bos, J.P. Calvi, N. Levenberg, A. Sommariva)
  
  
• Computing multivariate Fekete and Leja points by numerical linear algebra
  SIAM J. Numer. Anal. 48 (2010), 1984--1999 (with L. Bos, S. De Marchi, A. Sommariva)
  
  
• Padua2D: Lagrange Interpolation at Padua Points on Bivariate Domains
  ACM TOMS 35-3 (2008) (with M. Caliari, S. De Marchi)
  
  
• Bivariate Lagrange interpolation at the Padua points: the ideal theory approach
  Numer. Math. 108 (2007), 43--57 (with L. Bos, S. De Marchi, Y. Xu)
  
  
• A new summation method for power series with rational coefficients
  Math. Comp. 69 (2000), 749--756 (with S. Dassie`, R. Zanovello)
  
  
• Asymptotic summation of power series
  Numer. Math. 80 (1998), 61--73 (with S. Dassie`, R. Zanovello)
  
  
• A numerical method for evaluating zeros of solutions of second-order linear differential equations
  Math. Comp. 55 (1990), 591--612 (with R. Spigler)
  

Software published in the Netlib :


• Padua2D: Lagrange Interpolation at Padua Points on Bivariate Domains, ACM TOMS 35-3 (2008)
  (with M. Caliari, S. De Marchi)
  a variant has been used in Fun2D of the CP2K simulation package for molecular dynamics (see paper)
  
  
• Padua2DM: fast interpolation and cubature at the Padua points in Matlab/Octave, Numerical Algorithms 56 (2011)
  (with M. Caliari, S. De Marchi, A. Sommariva)
  
  

Research collaboration and coordination experience

• Member of the CAA: Padova-Verona Research Group on Constructive Approximation and Applications
  
  
• International collaborations (reciprocal visits, coauthorship, research projects, ...) with Len Bos (Calgary, Verona 2009-), Jean-Paul Calvi (Toulouse), Norm Levenberg (Bloomington), Francesca Rapetti (Nice), Shayne Waldron (Auckland), Yuan Xu (Eugene)
  
  
• Coautorship with 24 researchers
  
  
• Advisor of 2 Ph.D.s at the Doctoral School in Computational Mathematics of the University of Padova: Alvise Sommariva 1999 on topic 3 (presently lecturer at the University of Padova), and Marco Caliari 2002 on topic 2 (presently lecturer at the University of Verona), see also The Mathematics Genealogy Project
  
  
• Advisor of a Ph.D. student (Federico Piazzon, on topic 1) at the Doctoral School in Computational Mathematics of the University of Padova (2013- )
  
  
• Supervisor of 3 post-doc fellowships (Alvise Sommariva 2000-2004 on topic 3, Angeles Martinez 2005-2006 on topic 2, and Marco Caliari 2006-2007 on topic 2)
  
  
• Supervisor of 10 "laurea" theses for the degrees in Mathematics (former 4 years and present 3+2 years curricula) that have led to scientific publications in collaboration, see the list of publications in Numerical Analysis [13-17,26,43,57,61,62,66-68,71-73], and the list of publications in Mathematical Analysis [20,21]
  
  
• Coordinator of a Padova University project on "Efficient approximation methods for nonlocal discrete transforms" (2003-2004, grant: 35 kEuros, components: 8)
  
  
• Local coordinator of a 2003 PRIN national project on "Approximation of matrix functions in the numerical solution of differential equations" (2004-2005, national coordinator L. Lopez, Bari; peer-review score 90/100, grant: 20 kEuros, components: 4)
  
  
• Coordinator of 8 local projects on "Multivariate approximation algorithms" (years 2005-2012, overall grant: about 28 kEuros, average number of components per year: 3)
  
  
• Local coordinator of a 2009 PRIN national project on "Locating near-optimal nodal sets for multivariate interpolation" (national coordinator L. Bos, Verona; peer-review score 95/100, not funded)
  
  
• Coordinator of a INdAM-GNCS project on "Multivariate approximation by polynomial and radial bases" (2012, grant: 5 kEuros, components: 5)
  
  
• National coordinator of a 2010/11 PRIN national project on "Multivariate Interpolation by Polynomials, RBF and other Bases and Applications" (grant: 300 kEuros, components: 14 of 4 Universities): two peer-review scores of 98/100 (reports in English), one peer-review score of 86/100 (report in Italian), rejected in the preselection phase by the University of Padova who has decided locally and ongoing to use only the first two reports in temporal order (including the italian one), instead of the two closest reports among three as suggested by the national guidelines in the presence of manifest discrepancies between the first two; by the two reports with score of 98/100 the project would have certainly passed the preselection phase; on October 31, 2012, the Administrative Court of the Veneto Region has declared illegal the procedure followed and the exclusion of the project by the University of Padova, and has intimated to admit the project with a score of 98/100; in December 2012 the University of Padova has readmitted with 98/100 and sent the project to the Ministry of University in Rome, for the continuation of the procedure
  
  
• Member of the Scientific board for research in Mathematics and Computer Science, University of Padova (2004-2005)
  
  
• Member of the Council of the Doctoral School in Computational Mathematics of the University of Padova (2005-2010)
  
  

Conference organization and editorial experience

• Member of the organizing and scientific committees of the
  1st Dolomites Workshop on Constructive Approximation and Applications (DWCAA06), Alba di Canazei (Trento, Italy), Sept. 8-12 2006
  2nd Dolomites Workshop on Constructive Approximation and Applications (DWCAA09), Alba di Canazei (Trento, Italy), Sept. 4-9 2009
  3rd Dolomites Workshop on Constructive Approximation and Applications (DWCAA12), Alba di Canazei (Trento, Italy), Sept. 9-14 2012
  
  
• Member of the organizing committees of the
  Dolomites Research Week on Approximation 2007 (DRWA07), Alba di Canazei (Trento, Italy), Sept. 3-7 2007
  Dolomites Research Week on Approximation 2008 (DRWA08), Alba di Canazei (Trento, Italy), Sept. 8-11 2008
  Dolomites Research Week on Approximation 2010 (DRWA10), Alba di Canazei (Trento, Italy), Sept. 6-10 2010
  Dolomites Research Week on Approximation 2011 (DRWA11), Alba di Canazei (Trento, Italy), Sept. 5-9 2011
  Dolomites Research Week on Approximation 2013 (DRWA13), Alba di Canazei (Trento, Italy), Sept. 9-12 2013
  Workshop on Multivariate Approximation celebrating Prof. Len Bos 60th birthday, Verona (Italy), Nov. 29-30 2013
  
  
• Managing editor of the electronic journal Dolomites Research Notes on Approximation
  indexed in EMIS (European Mathematical Information Service) // Zentralblatt für Mathematik // Open J-Gate // DOAJ Directory of Open Access Journals
  
  
• Guest Editor of the Proceedings of DWCAA06, special issue of Numerical Algorithms
  
  
• Guest Editor of the Proceedings of DWCAA09, special issues of Numerical Algorithms and Calcolo
  
  
• Guest Editor of the Proceedings of DWCAA12, special issue of Dolomites Research Notes on Approximation
  
  

Research evaluation experience

• Member of the evaluation board of doctoral dissertations for the Doctoral School of Science and High Technology of the University of Turin (2010)
  
  
• Member of the Committee for the selection of post-doc fellowship projects at the Dept. of Mathematics of the University of Padova (2012)
  
  
• Referee for the INdAM Fellowships in Mathematics for Experienced Researchers cofunded by Marie Curie Actions (2012)
  
  
• Referee for the European Commission FP7 program concerning Marie Curie individual fellowship proposals (2012)
  
  
• Referee for the FWO Research Foundation - Flanders, Belgium (2013)
  
  
• Referee selected by 18 international journals: Advances in Computational Mathematics * Advances in Difference Equations * Annales Polonici Mathematici * Applied Mathematics and Computation * Applied Numerical Mathematics * BIT Numerical Mathematics * Calcolo * Engineering Analysis with Boundary Elements * European Journal of Mechanics * IET Image Processing * IMA Journal of Numerical Analysis * International Journal of Computer Mathematics * Journal of Approximation Theory * Journal of Computational and Applied Mathematics * Journal of Computational Physics * Journal of Foundations of Computational Mathematics * Numerical Algorithms * Numerical Mathematics: Theory, Methods and Applications * SIAM Journal on Numerical Analysis
  
  

Selected presentations at international conferences

• 3rd Intern. Conf. on Functional Anal. and Approx. Theory (FAAT 1996), Maratea (Italy) Sept. 1996, "A vector-valued version of Peano's Kernel Theorem"
  
  
• International Conference - Numerical Analysis: the State of the Art (NAC 2005), Cosenza (Italy) May 2005, "Bivariate interpolation at Xu points"
  
  
• 5th European Congress of Mathematics (5ECM), Amsterdam July 2008, "Near-optimal interpolation and quadrature in two variables: the Padua points"
  
  
• 2nd Dolomites Workshop on Constructive Approx. and Applic. (DWCAA09), Canazei (Italy) Sept. 2009, "Approximate Fekete Points"
  
  
• ICIAM 2011, Vancouver (Canada) July 2011, "New Tools for Multivariate Polynomial Approximation"
  
  
• 3rd Dolomites Workshop on Constructive Approx. and Applic. (DWCAA12), Canazei (Italy) Sept. 2012, "Polynomial Meshes and Discrete Extremal Sets"
  
  

Other

• Ph.D. lecturer on Polynomial Approximation Theory (course of 5 lectures, Ph.D. program in Computational Mathematics, University of Padova, 2007-2008-2009)