6533b857fe1ef96bd12b4552
RESEARCH PRODUCT
Mauro Picone, Sandro Faedo, and the numerical solution of partial differential equations in Italy (1928-1953)
Elena ToscanoMichele Benzisubject
Partial differential equationNumerical analysisApplied MathematicsConstructiveSettore MAT/08 - Analisi NumericaIstituto per le Applicazioni del CalcoloHistory of numerical analysi Istituto per le Applicazioni del Calcolo Evolution problems Faedo–Galerkin method Spectral methodsHistory of numerical analysiCalculusApplied mathematicsEvolution problemFaedo-Galerkin methodAlgebra over a fieldSpectral methodSturm–Picone comparison theoremSpectral methodNumerical partial differential equationsMathematicsdescription
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. © 2013 Springer Science+Business Media New York.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-07-04 |