Maria Adelaide Sneider (6 December 1937 – 1 May 1989) (also known as Maria Adelaide Sneider Ludovici, her second

surname In many societies, a surname, family name, or last name is the mostly hereditary portion of one's personal name that indicates one's family. It is typically combined with a given name to form the full name of a person, although several give ...

being "Ludovici") was an

Italia Italy, officially the Italian Republic, is a country in Southern Europe, Southern and Western Europe, Western Europe. It consists of Italian Peninsula, a peninsula that extends into the Mediterranean Sea, with the Alps on its northern land b ...

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 ...

working on numerical and

mathematical analysis Analysis is the branch of mathematics dealing with continuous functions, limit (mathematics), limits, and related theories, such as Derivative, differentiation, Integral, integration, measure (mathematics), measure, infinite sequences, series ( ...

. She is known for her work on the theory of electrostatic capacities of non-smooth closed

hypersurface In geometry, a hypersurface is a generalization of the concepts of hyperplane, plane curve, and surface. A hypersurface is a manifold or an algebraic variety of dimension , which is embedded in an ambient space of dimension , generally a Euclidea ...

s: Apart from the development of precise estimates for the

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

of the electrostatic capacity of the unit

cube A cube or regular hexahedron is a three-dimensional space, three-dimensional solid object in geometry, which is bounded by six congruent square (geometry), square faces, a type of polyhedron. It has twelve congruent edges and eight vertices. It i ...

, this work also led her to give a rigorous proof of

Green's identities In mathematics, Green's identities are a set of three identities in vector calculus relating the bulk with the boundary of a region on which differential operators act. They are named after the mathematician George Green, who discovered Green's ...

for large classes of hypersurfaces with singularities, and later to develop an accurate mathematical analysis of the points effect. She is also known for her contributions to the

Dirichlet problem In mathematics, a Dirichlet problem asks for a function which solves a specified partial differential equation (PDE) in the interior of a given region that takes prescribed values on the boundary of the region. The Dirichlet problem can be solved ...

for pluriharmonic functions on the unit

sphere A sphere (from Ancient Greek, Greek , ) is a surface (mathematics), surface analogous to the circle, a curve. In solid geometry, a sphere is the Locus (mathematics), set of points that are all at the same distance from a given point in three ...

\mathbb^n.

Work

Selected works

*. *. An accurate analysis of the problem of calculation of capacitances of surfaces with singularities. *, is an analysis of the numerical performance of several one–dimensional quadrature formulas. *. *. *. A work presenting a complete interdisciplinary analysis of the stability of a system of

ordinary differential equation In mathematics, an ordinary differential equation (ODE) is a differential equation (DE) dependent on only a single independent variable (mathematics), variable. As with any other DE, its unknown(s) consists of one (or more) Function (mathematic ...

s containing a large number of parameters, modeling a biological system. *. A short research announcement reporting the results detailed in . *. is Maria Adelaide Sneider's conclusive work on the

for pluriharmonic functions on a ball in the

complex Complex commonly refers to: * Complexity, the behaviour of a system whose components interact in multiple ways so possible interactions are difficult to describe ** Complex system, a system composed of many components which may interact with each ...

euclidean space Euclidean space is the fundamental space of geometry, intended to represent physical space. Originally, in Euclid's ''Elements'', it was the three-dimensional space of Euclidean geometry, but in modern mathematics there are ''Euclidean spaces ...

. *. Maria Adelaide Sneider's last paper, completing the results first presented in .

Notes

References

General references

*, is a collection of papers, published in issues 3 and 4 of the 10th volume, and partly on the 1st issue of the 11th volume of the seventh series of the "

Rendiconti di Matematica e delle sue Applicazioni The ''Rendiconti di Matematica e delle sue Applicazioni'' (''Reports on Mathematics and its applications'') is an open access peer review, peer-reviewed mathematics journal, jointly published by the "Guido Castelnuovo" Department of Mathematics of ...

" mathematical journal as an homage to her memory. **. The brief "Introduction" written for the double issue of the "Rendiconti di Matematica" dedicated to Maria Adelaide Sneider. *. An

obituary An obituary (wikt:obit#Etymology 2, obit for short) is an Article (publishing), article about a recently death, deceased person. Newspapers often publish obituaries as Article (publishing), news articles. Although obituaries tend to focus on p ...

on Maria Adelaide Sneider, including a detailed sketch of her major research contributions and a full list of her publications. *.

Scientific references

* of the memoir : A short but accurate report on the work, offered as a motivation for its publication in the Lincean series of memoirs. *, is an extensive survey on some problems of

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 associate problems of

) studied by Gaetano Fichera and his group of students: its updated English

translation Translation is the communication of the semantics, meaning of a #Source and target languages, source-language text by means of an Dynamic and formal equivalence, equivalent #Source and target languages, target-language text. The English la ...

is . *. An English updated and expanded

of the memoir . *. *. (See her

for a

preprint In academic publishing, a preprint is a version of a scholarly or scientific paper that precedes formal peer review and publication in a peer-reviewed scholarly or scientific journal. The preprint may be available, often as a non-typeset versi ...

version available from the Author's website, retrieved on 1 May 2009). An expository paper detailing the contributions of

Gaetano Fichera Gaetano Fichera (8 February 1922 – 1 June 1996) was an Italian mathematician, working in mathematical analysis, linear elasticity, partial differential equations and several complex variables. He was born in Acireale, and died in Rome. Biogra ...

and his school, including Maria Adelaide Sneider, on the problem of numerical calculation of

eigenvalue In linear algebra, an eigenvector ( ) or characteristic vector is a vector that has its direction unchanged (or reversed) by a given linear transformation. More precisely, an eigenvector \mathbf v of a linear transformation T is scaled by a ...

s for general

differential operator In mathematics, a differential operator is an operator defined as a function of the differentiation operator. It is helpful, as a matter of notation first, to consider differentiation as an abstract operation that accepts a function and retur ...

External links

*. The entry about Maria Adelaide Sneider at th
Edizione Nazionale Matematica Italiana
{{DEFAULTSORT:Sneider, Maria Adelaide 1937 births 1989 deaths People from Asmara University of Trieste alumni Academic staff of the Sapienza University of Rome 20th-century Italian mathematicians Complex analysts Italian mathematical analysts Numerical analysts