Biography:Maria Adelaide Sneider

Short description: Italian mathematician

Maria Adelaide Sneider
Born	Asmara, Italian Empire
Died	1 May 1989(1989-05-01) (aged 51) Rome
Nationality	Italian
Alma mater	Università degli Studi di Trieste
Known for	Capacity theory of non-smooth hypersurfaces Eigenvalue theory Mathematical analysis Numerical analysis Theory of pluriharmonic functions
Scientific career
Fields	Mathematics
Institutions	Sapienza University of Rome
Doctoral advisor	Gaetano Fichera

Maria Adelaide Sneider (6 December 1937 – 1 May 1989) (also known as Maria Adelaide Sneider Ludovici, her second surname being "Ludovici") 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: Apart from the development of precise estimates for the numerical approximation of the electrostatic capacity of the unit cube, this work also led her to give a rigorous proof of Green's identities 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 for pluriharmonic functions on the unit sphere of ${\mathbb{ℂ}}^n.$

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).

Selected works

• Sneider, Maria Adelaide (1969), "Sul cerchio minimo contenente tutti gli autovalori di un operatore integrale di Fredholm con nucleo in L²" (in Italian), Atti della Accademia Nazionale dei Lincei. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali, Serie VIII LXXXII (3–4): 145–150, http://www.bdim.eu/item?id=RLINA_1969_8_47_3-4_145_0 .
• Sneider Ludovici, Maria Adelaide (1970), "Sulla capacità elettrostatica di una superficie chiusa" (in Italian), Atti della Accademia Nazionale dei Lincei. Memorie. Classe di Scienze Fisiche, Matematiche e Naturali, Serie VII, Sezione I X (2): 97–215 . 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" (in Italian), Pontificia Academia Scientiarum Commentarii 2 (52): 1–16, http://www.casinapioiv.va/content/dam/accademia/pdf/commentarii/2_52.pdf , 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" (in French), Comptes rendus hebdomadaires des séances de l'Académie des Sciences, Série A : Sciences mathématiques 278: 1303–1306, http://gallica.bnf.fr/ark:/12148/bpt6k6236784g/f81.image .
• 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, 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, 2, London–San Francisco–Melbourne: Pitman Publishing, pp. 63–90, ISBN 0-273-00129-9, https://archive.org/details/trendsinapplicat0000symp/page/63 .
• 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 . 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, doi:10.1073/pnas.74.10.4182, PMID 270662, Bibcode: 1977PNAS...74.4182F . A short research announcement reporting the results detailed in (Fichera Sneider).
• Sneider, Maria Adelaide (1983), "Sul problema pluriarmonico in un campo sferico di Cⁿ per n≥ 3" (in Italian), Atti della Accademia Nazionale dei Lincei. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali, Serie VIII LXXIV (6): 351–356, http://www.bdim.eu/item?id=RLIN_1983_8_74_6_351_0 . 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" (in Italian), Atti della Accademia Nazionale dei Lincei. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali, Serie VIII LXXXII (2): 345–352, http://www.bdim.eu/item?id=RLIN_1988_8_82_2_345_0 . Maria Adelaide Sneider's last paper, completing the results first presented in (Fichera Sneider).

See also

• Harmonic polynomial
• Potential theory

References

General references

• Benvenuti, Pietro, ed. (1990), Scritti matematici. Dedicati a 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 (in Italian), Scritti matematici. Dedicati a Maria Adelaide Sneider, 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" (in Italian), Rendiconti di Matematica e delle sue Applicazioni, Serie VII 10 (3): 393–408 . 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 .

Scientific references

• Picone, Mauro; Tricomi, Francesco; Fichera, Gaetano (14 March 1970) (in Italian), Relazione, 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" (in Italian), Atti della Accademia Nazionale dei Lincei. Memorie. Classe di Scienze Fisiche, Matematiche e Naturali, Serie VIII 12 (1): 1–202 , 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, 3, London–San Francisco–Melbourne: Pitman Publishing, pp. x+208, ISBN 0-273-00284-8 . 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, 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 .
• Weinberger, Hans F. (1999), "Fichera's method for bounding eigenvalues", in Capriz, Gianfranco; Grioli, Giuseppe; Manacorda, Tristano, Interactions between Analysis and Mechanics. The Legacy of Gaetano Fichera. Convegno internazionale (Roma, 22--23 aprile 1998), Atti dei Convegni Lincei, 148, Roma: Accademia Nazionale dei Lincei, pp. 51–65, http://www.lincei.it/pubblicazioni/catalogo/volume.php?lg=e&rid=36500, 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)" (in Italian), Edizione Nazionale Mathematica Italiana, Scuola Normale Superiore, 2008–2011, http://mathematica.sns.it/autori/1243/, retrieved December 22, 2013 . The entry about Maria Adelaide Sneider at the Edizione Nazionale Matematica Italiana.