Wikipedia

Stefano De Marchi

Stefano De Marchi (born 17 December 1962 in Candiana, Padua) is an Italian mathematician who works in numerical analysis and is a professor at the University of Padua. He is managing editor of the open access journal Dolomites Research Notes on Approximation published by the Padua University Press, coordinator of the Constructive Approximation and Applications Research Group, coordinator of the Research Italian network on Approximation, and responsible for the Unione Matematica Italiana Thematic Group on "Approximation Theory and Applications (A.T.A.)".

His scientific interests deal mainly with interpolation and approximation of functions and data by polynomials and radial basis functions (RBFs)).

Education and career

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Stefano De Marchi studied Bachelor's degree of Mathematics in 1981-1987, Master in Applied Mathematics in 1991 at the University of Padua, and received his doctorate in Computational Mathematics, Consorzio Nord-Orgientale, VI ciclo, University of Padua under Maria Morandi Cecchi and Larry Lee Schumaker supervisions (dissertation: Approssimazione e Interpolazione su "Simplices": Caratterizzazioni, Metodi ed Estensioni)

He habilitated in 2017 and became a Full Professor of Numerical Analysis at the Department of Mathematics “Tullio Levi-Civita”, University of Padua in 2022.

Recognition

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Stefano has made many important contributions to approximation theory such as Weakly Admissible Meshes, Barycentric rational interpolation, Stability issues and greedy algorithms in RBF theory, Rational RBF approximation, Medical image reconstruction, and Fake nodes.[1] He is one of the discoverers of the so called Padua points, which are the only set of quasi-optimal interpolation points explicitly known on the square, for polynomial interpolation of total degree. Their name is due to the University of Padua, where they were originally discovered.[2][3] He is also author of the books: ′′Funzioni Splines Univariate″,[4]  ′′Appunti di Calcolo Numerico″,[5] ′′Meshfree Approximation for Multi-Asset European and American Option Problems″ [6] and the Lecture notes: ′′Four lectures on radial basis functions″ and '′Lectures on multivariate polynomial interpolation″.[7]

References

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  1. ^ Bos., Len; Sommariva, Alvise; Perracchione, Emma; Santin, Gabriele; Marchetti, Francesco; Erb, Wolfgang; Dell'Accio, Francesco; Elefante, Giacomo; Poggiali, Davide (December 2022). "Special Issue dedicated to Stefano De Marchi on the occasion of his 60th birthday". Dolomites Research Notes on Approximation. 15 (4).
  2. ^ Bos, Len; Caliari, Marco; De Marchi, Stefano; Vianello, Marco; Xu, Yuan (2006). "Bivariate Lagrange interpolation at the Padua points: The generating curve approach". Journal of Approximation Theory. 143 (1): 15–25. doi:10.1016/j.jat.2006.03.008. hdl:11577/2481660.
  3. ^ Caliari, Marco; De Marchi, Stefano; Vianello, Marco (2005). "Bivariate polynomial interpolation on the square at new nodal sets". Applied Mathematics and Computation. 165 (2): 261–274. doi:10.1016/j.amc.2004.07.001.
  4. ^ De Marchi, Stefano (2000). Funzioni Spline Univariate (in Italian) (2nd ed.). Udine: Universitaria FORUM. p. 106.
  5. ^ De Marchi, Stefano (2016). Appunti di Calcolo Numerico con codici in Matlab/Octave (in Italian) (2nd ed.). Bologna: Esculapio. p. 260. ISBN 9788874889396.
  6. ^ De Marchi; Mandarà; Viero, Stefano; Maddalena; Anna (2012). Meshfree Approximation for Multi-Asset European and American Option Problems (1st ed.). ARACNE EDITRICE SRL. p. 92.{{cite book}}: CS1 maint: multiple names: authors list (link)
  7. ^ De Marchi, Stefano (2013). Four lectures on radial basis functions. Department of Mathematics, University of Padua.
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