Maria Adelaide Sneider

Italian mathematician

Capacity theory of non-smooth hypersurfaces
Eigenvalue theory
Mathematical analysis
Numerical analysis
Theory of pluriharmonic functions

Scientific careerFieldsMathematicsInstitutionsSapienza University of RomeDoctoral advisorGaetano Fichera

Maria Adelaide Sneider (6 December 1937 – 1 May 1989)^[1] (also known as Maria Adelaide Sneider Ludovici, her second surname being "Ludovici")^[2] was an Italian mathematician working on numerical and mathematical analysis. She is known for her work on the theory of electrostatic capacities of non-smooth closed hypersurfaces:^[3] Apart from the development of precise estimates for the numerical approximation of the electrostatic capacity of the unit cube,^[4] this work also led her to give a rigorous proof of Green's identities for large classes of hypersurfaces with singularities,^[5] and later to develop an accurate mathematical analysis of the points effect.^[6] She is also known for her contributions to the Dirichlet problem for pluriharmonic functions on the unit sphere of $\mathbb {C} ^{n}.$ ^[7]

Work

Gaetano and his former student Adelaide Sneider have done important work on capacity and in particular on the capacity of a cube and the corresponding potential fields.
— Walter K. Hayman, (Hayman 1993, p. 119).

Selected works

Sneider, Maria Adelaide (1969), "Sul cerchio minimo contenente tutti gli autovalori di un operatore integrale di Fredholm con nucleo in L²" [On the minimal disk containing all the eigenvalues of a Fredholm integral operator with L² kernel], Atti della Accademia Nazionale dei Lincei. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali, Serie VIII (in Italian), LXXXII (3–4): 145–150, MR 0264472, Zbl 0189.42101.
Sneider Ludovici, Maria Adelaide (1970), "Sulla capacità elettrostatica di una superficie chiusa" [On the electrostatic capacity of a closed surface], Atti della Accademia Nazionale dei Lincei. Memorie. Classe di Scienze Fisiche, Matematiche e Naturali, Serie VII, Sezione I (in Italian), X (2): 97–215, Zbl 0232.31010. An accurate analysis of the problem of calculation of capacitances of surfaces with singularities.
Sneider Ludovici, M. A. (14 April 1972), "Alcune osservazioni sulle formule di quadratura approssimata" [Some observations on approximate quadrature formulas] (PDF), Pontificia Academia Scientiarum Commentarii (in Italian), 2 (52): 1–16, is an analysis of the numerical performance of several one–dimensional quadrature formulas.
Fichera, Gaetano; Sneider Ludovici, Maria Adelaide (13 May 1974), "Distribution de la charge electrique dans le voisinage des sommets et des aretes d'un cube" [Distribution of the electrical charge in the vicinity of the vertices and edges of a cube], Comptes rendus hebdomadaires des séances de l'Académie des Sciences, Série A : Sciences mathématiques (in French), 278: 1303–1306, MR 0351281, Zbl 0282.35038.
Fichera, Gaetano; Sneider Ludovici, Maria Adelaide (1976), "Abstracts and Numerical Aspects of the Problem Concerning the Computation of Eigenfrequencies of Continuous Systems", in Fichera, Gaetano (ed.), Trends in Applications of Pure Mathematics to Mechanics. A collection of papers presented at a conference at the University of Lecce, Italy, in May 1975, Monograph and Studies in Mathematics, vol. 2, London–San Francisco–Melbourne: Pitman Publishing, pp. 63–90, ISBN 0-273-00129-9, MR 0483901, Zbl 0355.65049.
Fichera, Gaetano; Sneider, Maria A.; Wyman, Jeffreys (1977), "On the existence of a steady state in a biological system", Atti della Accademia Nazionale dei Lincei. Memorie. Classe di Scienze Fisiche, Matematiche e Naturali, Serie VII, Sezione III, XIV (1): 1–26, Bibcode:1977PNAS...74.4182F, Zbl 0414.92004. A work presenting a complete interdisciplinary analysis of the stability of a system of ordinary differential equations containing a large number of parameters, modeling a biological system.
Fichera, Gaetano; Sneider, Maria Adelaide; Wyman, Jeffreys (1977a), "On the existence of a steady state in a biological system", PNAS, 74 (10): 4182–4184, Bibcode:1977PNAS...74.4182F, doi:10.1073/pnas.74.10.4182, PMC 431902, PMID 270662. A short research announcement reporting the results detailed in (Fichera, Sneider & Wyman 1977).
Sneider, Maria Adelaide (1983), "Sul problema pluriarmonico in un campo sferico di Cⁿ per n≥ 3" [On the pluriharmonic problem on a ball in Cⁿ for n≥ 3], Atti della Accademia Nazionale dei Lincei. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali, Serie VIII (in Italian), LXXIV (6): 351–356, MR 0756715, Zbl 0577.32017. is Maria Adelaide Sneider's conclusive work on the Dirichlet problem for pluriharmonic functions on a ball in the complex euclidean space.
Sneider, Maria Adelaide (1988), "Steady state in a biological system: global asymptotic stability", Atti della Accademia Nazionale dei Lincei. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali, Serie VIII (in Italian), LXXXII (2): 345–352, MR 1152650, Zbl 0964.92502. Maria Adelaide Sneider's last paper, completing the results first presented in (Fichera, Sneider & Wyman 1977).

Notes

^ ^a ^b Fichera (1990, p. 393) states precisely that she died in the night between the April 30 and May 1, 1989, while Benvenuti & Ricci (1990, p. 1) report only the last date.
^ As she signes herself in (Sneider Ludovici 1970) and in several other of her scientific works: see also the "Author index" in (Fichera 1974, p. 202).
^ According to Fichera (1990, p. 395): see also her work (Sneider Ludovici 1970), the associated report (Picone, Tricomi & Fichera 1970), and the introductory remarks in (Hayman 1993, p. 119).
^ See (Picone, Tricomi & Fichera 1970), (Fichera 1990, p. 396) and (Hayman 1993, p. 119).
^ See (Fichera 1974, pp. 178–179) and (Fichera 1990).
^ See Fichera (1990, pp. 398–400).
^ (Fichera 1990, p. 405).

References

General references

Benvenuti, Pietro; Ricci, Paolo Emilio, eds. (1990), Scritti matematici. Dedicati a Maria Adelaide Sneider [Mathematical works. Dedicated to Maria Adelaide Sneider], Roma: Università "La Sapienza", pp. I+634, 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" mathematical journal as an homage to her memory.
- Benvenuti, Pietro; Ricci, Paolo Emilio (1990), "Prefazione al volume", in Benvenuti, Pietro; Ricci, Paolo Emilio (eds.), Scritti matematici. Dedicati a Maria Adelaide Sneider [Mathematical works. Dedicated to Maria Adelaide Sneider] (in Italian), Rome: Sapienza University of Rome, p. I. The brief "Introduction" written for the double issue of the "Rendiconti di Matematica" dedicated to Maria Adelaide Sneider.
Fichera, Gaetano (1990), "Ricordo di Maria Adelaide Sneider" [Recollection of Maria Adelaide Sneider], Rendiconti di Matematica e delle sue Applicazioni, Serie VII (in Italian), 10 (3): 393–408, MR 1080306, Zbl 0752.01019. An obituary on Maria Adelaide Sneider, including a detailed sketch of her major research contributions and a full list of her publications.
Schneider, W.; Troger, H.; Ziegler, F., eds. (1991), Trends in Applications of Mathematics to Mechanics, Interaction of Mechanics and Mathematics Series, Harlow: Longman Scientific & Technical, pp. xxii+356, ISBN 0-582-05822-8, ISSN 0962-4589, MR 1139004.

Scientific references

Picone, Mauro; Tricomi, Francesco; Fichera, Gaetano (14 March 1970), Relazione [Report] (in Italian), pp. 97–98 of the memoir (Sneider Ludovici 1970): A short but accurate report on the work, offered as a motivation for its publication in the Lincean series of memoirs.
Fichera, Gaetano (1974), "Metodi e risultati concernenti l'analisi numerica e quantitativa" [Methods and results concerning numerical and quantitative analysis], Atti della Accademia Nazionale dei Lincei. Memorie. Classe di Scienze Fisiche, Matematiche e Naturali, Serie VIII (in Italian), 12 (1): 1–202, MR 0639162, Zbl 0334.65002, is an extensive survey on some problems of numerical analysis (and associate problems of mathematical analysis) studied by Gaetano Fichera and his group of students: its updated English translation is (Fichera 1978).
Fichera, Gaetano (1978) [1974], Numerical and quantitative analysis, Surveys and Reference Works in Mathematics, vol. 3, translated by Graffi, Sandro, London–San Francisco–Melbourne: Pitman Publishing, pp. x+208, ISBN 0-273-00284-8, MR 0519677, Zbl 0384.65043. An English updated and expanded translation of the memoir (Fichera 1974).
Hayman, Walter K. (1993), "A problem on Fourier series arising from an Isoperimetric inequality", in Ricci, Paolo Emilio (ed.), Problemi attuali dell'analisi e della fisica matematica. Atti del simposio internazionale dedicato a Gaetano Fichera nel suo 70^o compleanno. Taormina, 15–17 ottobre 1992, Roma: Dipartimento di Matematica Università di Roma La Sapienza – Aracne Editrice, pp. 119–125, MR 1249093, Zbl 0851.42009.
Weinberger, Hans F. (1999), "Fichera's method for bounding eigenvalues", in Capriz, Gianfranco; Grioli, Giuseppe; Manacorda, Tristano (eds.), Interactions between Analysis and Mechanics. The Legacy of Gaetano Fichera. Convegno internazionale (Roma, 22--23 aprile 1998), Atti dei Convegni Lincei, vol. 148, Roma: Accademia Nazionale dei Lincei, pp. 51–65, archived from the original on 2015-07-13, retrieved 2013-12-22. (See here [1] for a preprint version available from the Author's website, retrieved on 1 May 2009). An expository paper detailing the contributions of Gaetano Fichera and his school, including Maria Adelaide Sneider, on the problem of numerical calculation of eigenvalues for general differential operators.

External links

"Maria Adelaide Sneider (1937 - 1989)", Edizione Nazionale Mathematica Italiana (in Italian), Scuola Normale Superiore, 2008–2011, retrieved December 22, 2013. The entry about Maria Adelaide Sneider at the Edizione Nazionale Matematica Italiana.