Stefano De Marchi
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Stefano De Marchi | |
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| Born | December 17, 1962 Candiana (Padua) |
| Nationality | Italian |
| Alma mater | University of Padua |
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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.[1]. He is also managing editor of the open access journal Dolomites Research Notes on Approximation [2] edited by the Padua University Press , coordinator of the Constructive Approximation and Applications (CAA) Research Group [3], coordinator of the Research ITalian network on Approximation (RITA) [4], and responsible for the Unione Matematica Italiana (UMI) Thematic Group on “Approximation Theory and Applications (A.T.A.)” [5].
Research
He deals with interpolation and approximation, including methods of approximation of functions (Method of radial basis functions (RBFs)) [6].
Education and career
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-Orientale, VI ciclo, University of Padua under Maria Morandi Cecchi [7] and Larry Lee Schumaker [8] supervisions (dissertation: Approssimazione e Interpolazione su "Simplices": Caratterizzazioni, Metodi ed Estensioni [9])
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
He is well-known for his great joint works on 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 [10]. 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 [11][12]. He is also author of the books: ′′Funzioni Splines Univariate″ [13], ′′Appunti di Calcolo Numerico″ [14], ′′Meshfree Approximation for Multi-Asset European and American Option Problems″ [15] and the Lecture notes: ′′Four lectures on radial basis functions″ [16] and ′′Lectures on multivariate polynomial interpolation″ [17]
References
- ↑ "Stefano De Marchi".
- ↑ "Dolomites Research Notes on Approximation Journal".
- ↑ "Padova-Verona research group on "Constructive Approximation and Applications" (CAA)".
- ↑ "Research ITalian network on Approximation (RITA)".
- ↑ "Unione Matematica Italiana Group of "Theory of Approximation and Applications" (A.T.A)".
- ↑ "Stefano De Marchi-Curriculum Vitae" (PDF).
- ↑ "Maria Morandi Cecchi - The Mathematics Genealogy Project".
- ↑ "Larry Lee Schumaker - The Mathematics Genealogy Project".
- ↑ "Stefano De Marchi - The Mathematics Genealogy Project". www.genealogy.math.ndsu.nodak.edu. Retrieved 2023-07-11.
- ↑ "Stefano De Marchi-Publications list".
- ↑ Bos, Len; Caliari, Marco; De Marchi, Stefano; Vianello, Marco; Xu, Yuan (2006-11-01). "Bivariate Lagrange interpolation at the Padua points: The generating curve approach". Journal of Approximation Theory. Special Issue on Foundations of Computational Mathematics. 143 (1): 15–25. doi:10.1016/j.jat.2006.03.008. ISSN 0021-9045.
- ↑ Caliari, Marco; De Marchi, Stefano; Vianello, Marco (2005-06-15). "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. ISSN 0096-3003.
- ↑ De Marchi, Stefano (2000). Funzioni Spline Univariate (in Italian) (2nd ed.). Udine: Universitaria FORUM. p. 106.
{{cite book}}: CS1 maint: unrecognized language (link) - ↑ De Marchi, Stefano (2016). Appunti di Calcolo Numerico con codici in Matlab/Octave (in Italian) (2nd ed.). Bologna: Esculapio. p. 260. ISBN 9788874889396.
{{cite book}}: CS1 maint: unrecognized language (link) - ↑ De Marchi, Stefano (2012). Meshfree Approximation for Multi-Asset European and American Option Problems (1st ed.). Aracne. p. 92. ISBN 9788854851511.
- ↑ "Four lectures on radial basis functions" (PDF).
- ↑ "Lectures on multivariate polynomial interpolation" (PDF).
External links
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