Stefano De Marchi (born 17 December 1962 in Candiana,

Padua Padua ( ) is a city and ''comune'' (municipality) in Veneto, northern Italy, and the capital of the province of Padua. The city lies on the banks of the river Bacchiglione, west of Venice and southeast of Vicenza, and has a population of 20 ...

) is an Italian

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...

who works in

numerical analysis Numerical analysis is the study of algorithms that use numerical approximation (as opposed to symbolic computation, symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics). It is the study of ...

and is a professor at the

University of Padua The University of Padua (, UNIPD) is an Italian public research university in Padua, Italy. It was founded in 1222 by a group of students and teachers from the University of Bologna, who previously settled in Vicenza; thus, it is the second-oldest ...

. 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 In mathematics, approximation theory is concerned with how function (mathematics), functions can best be approximation, approximated with simpler functions, and with quantitative property, quantitatively characterization (mathematics), characteri ...

and Applications (A.T.A.)". His scientific interests deal mainly with

interpolation In the mathematics, mathematical field of numerical analysis, interpolation is a type of estimation, a method of constructing (finding) new data points based on the range of a discrete set of known data points. In engineering and science, one ...

and

approximation An approximation is anything that is intentionally similar but not exactly equal to something else. Etymology and usage The word ''approximation'' is derived from Latin ''approximatus'', from ''proximus'' meaning ''very near'' and the prefix ...

of functions and data by polynomials and

radial basis function In mathematics a radial basis function (RBF) is a real-valued function \varphi whose value depends only on the distance between the input and some fixed point, either the origin, so that \varphi(\mathbf) = \hat\varphi(\left\, \mathbf\right\, ), o ...

s (RBFs)).

Education and career

Stefano De Marchi studied Bachelor's degree of Mathematics in 1981-1987, Master in

Applied Mathematics Applied mathematics is the application of mathematics, mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, and Industrial sector, industry. Thus, applied mathematics is a ...

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 Tullio Levi-Civita, (; ; 29 March 1873 – 29 December 1941) was an Italian mathematician, most famous for his work on absolute differential calculus ( tensor calculus) and its applications to the theory of relativity, but who also made signifi ...

”, University of Padua in 2022.

Research

Stefano has made 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. He is one of the discoverers of the so called

Padua points In polynomial interpolation of two variables, the Padua points are the first known example (and up to now the only one) of a unisolvent point set (that is, the interpolating polynomial is unique) with ''minimal growth'' of their Lebesgue constant, ...

, 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. He is also author of the books: ′′Funzioni Splines Univariate″, ′′Appunti di Calcolo Numerico″, ′′Meshfree Approximation for Multi-Asset European and American Option Problems″ and the Lecture notes: ′′Four lectures on radial basis functions″ and '′Lectures on multivariate polynomial interpolation″.

References

External links

Home page at University of Padua

Stefano De Marchi - Curriculum Vitae

Stefano De Marchi publications indexed by Google Scholar

Stefano De Marchi - The Mathematics Genealogy Project

Padova Neuroscience Center

Dolomites Research Notes on Approximation Journal

Constructive Approximation and Applications Research Group

Research ITalian network on Approximation

Unione Matematica Italiana
{{DEFAULTSORT:Marchi, Stefano De Living people 1962 births Italian mathematicians Academic staff of the University of Padua People from Padua