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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-), member of the Dept. of Pure and Applied Mathematics (1993-2011), member of the Dept. of Mathematics of the University of Padova (2012-)

Research results

Author of 88 scientific publications in the fields of Numerical Analysis and Mathematical Analysis with 22 coauthors, published in 42 international journals and book series: see the list of publications in Numerical Analysis, the list of publications in Mathematical Analysis, and also online publications and preprints with downloadable pdf, and software

Topics :

1. Multivariate approximation: polynomials, radial basis functions, numerical cubature (35 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)

highlights :
- MathSciNet: 79 papers cited 167 times by 90 distinct authors (max citations=17), h-index=6, g-index=9
- Scopus: 63 papers cited 132 times (max citations=28), h-index=9, g-index=13
- Google Scholar: h-index=11, g-index=17 (by scHolar index)
- 2 papers (topic 1) classified in the 25 Top Articles of J. Approx. Theory in 2006
- 5 papers (topic 2) quoted in M. Hochbruck, A. Ostermann, Exponential Integrators, Acta Numerica 19 (2010)

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

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
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)
Bivariate polynomial interpolation on the square at new nodal sets
Appl. Math. Comput. 165/2 (2005), 261--274 (with M. Caliari, S. De Marchi)
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 on some well-reputed journals in Numerical Mathematics:

The "phase function" method to solve second-order asymptotically polynomial differential equations
Numer. Math., published online 27 December 2011 (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 23 researchers

Supervisor of 2 Ph.D. theses in Computational Mathematics (Alvise Sommariva 1999 topic 3 (presently lecturer at the University of Padova), and Marco Caliari 2002 topic 2 (presently lecturer at the University of Verona), see also The Mathematics Genealogy Project)

Supervisor of 3 post-doc fellowships (Alvise Sommariva 2000-2004 topic 3, Angeles Martinez 2005-2006 topic 2, and Marco Caliari 2006-2007 topic 2)

Supervisor of 10 "laurea" theses for the degrees in Mathematics (former 4 years and present 3+2 years curricula) that have lead to scientific publications in collaboration, see the list of publications in Numerical Analysis [13,14,15,17,26,43,56,60,61,64,67], 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: 35000 euros)

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; evaluation score 90/100, funded, grant: 20000 euros)

Coordinator of 7 local projects on "Multivariate approximation algorithms" (years 2005-2011; overall grant: about 26000 euros)

National coordinator of a 2007 PRIN national project on "Approximation by polynomial and radial bases, algorithms and applications" (evaluation score 87/100, not funded)

Local coordinator of a 2009 PRIN national project on "Locating near-optimal nodal sets for multivariate interpolation" (national coordinator L. Bos, Verona; evaluation score 95/100, not funded)

Coordinator of a INdAM-GNCS project on "Multivariate approximation by polynomial and radial bases" (2012, under evaluation)

Member of the Scientific board for research in Mathematics and Computer Science, University of Padova (2004-2005)

Member of the Council of the Ph.D. program 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), September 8-12 2006
2nd Dolomites Workshop on Constructive Approximation and Applications (DWCAA09), Alba di Canazei (Trento, Italy), September 4-9 2009
3rd Dolomites Workshop on Constructive Approximation and Applications (DWCAA12), Alba di Canazei (Trento, Italy), September 9-14 2012

Member of the organizing committees of the
Dolomites Research Week on Approximation 2007 (DRWA07), Alba di Canazei (Trento, Italy), September 3-7 2007
Dolomites Research Week on Approximation 2008 (DRWA08), Alba di Canazei (Trento, Italy), September 8-11 2008
Dolomites Research Week on Approximation 2010 (DRWA10), Alba di Canazei (Trento, Italy), September 6-10 2010
Dolomites Research Week on Approximation 2011 (DRWA11), Alba di Canazei (Trento, Italy), September 5-9 2011

Managing editor of the electronic journal Dolomites Research Notes on Approximation indexed in Zentralblatt für Mathematik and Open J-Gate

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

Referee selected by: Advances in Computational Mathematics * Advances in Difference Equations * Annales Polonici Mathematici * Applied Mathematics and Computation * Applied Numerical Mathematics * BIT Numerical Mathematics * Calcolo * IET Image Processing * IMA Journal of Numerical Analysis * Journal of Approximation Theory * Journal of Computational and Applied Mathematics * Journal of Computational Physics * Numerical Algorithms * Numerical Mathematics: Theory, Methods and Applications * SIAM Journal on Numerical Analysis

Selected presentations at international conferences

3rd International Conference on Functional Analysis and Approximation Theory (FAAT 1996), Maratea (Italy) September 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 (Holland) July 2008, "Near-optimal interpolation and quadrature in two variables: the Padua points"
2nd Dolomites Workshop on Constructive Approximation and Applications (DWCAA09), Canazei (Italy) September 2009, "Approximate Fekete Points"
ICIAM 2011, Vancouver (BC, Canada) July 2011, "New Tools for Multivariate Polynomial Approximation"

Other

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

Member of the evaluation board of doctoral dissertations for the Doctoral School of Science and High Technology of the University of Turin, January 2010