Mauro Picone, Sandro Faedo, and the numerical solution of partial differential equations in Italy (1928-1953)

被引：2

作者：

Benzi, Michele ^{[1
]}

Toscano, Elena ^{[2
]}

机构：

[1] Emory Univ, Dept Math & Comp Sci, Atlanta, GA 30322 USA

[2] Univ Palermo, Dipartimento Matemat & Informat, I-90123 Palermo, Italy

来源：

NUMERICAL ALGORITHMS | 2014年 / 66卷 / 01期

关键词：

History of numerical analysis; Istituto per le Applicazioni del Calcolo; Evolution problems; Faedo-Galerkin method; Spectral methods; NAVIER-STOKES EQUATIONS; GALERKIN WEAK SOLUTIONS; RITZ;

D O I：

10.1007/s11075-013-9727-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we revisit the pioneering work on the numerical analysis of partial differential equations (PDEs) by two Italian mathematicians, Mauro Picone (1885-1977) and Sandro Faedo (1913-2001). We argue that while the development of constructive methods for the solution of PDEs was central to Picone's vision of applied mathematics, his own work in this area had relatively little direct influence on the emerging field of modern numerical analysis. We contrast this with Picone's influence through his students and collaborators, in particular on the work of Faedo which, while not the result of immediate applied concerns, turned out to be of lasting importance for the numerical analysis of time-dependentPDEs.

引用

页码：105 / 145

页数：41