Benvenuti nell'Anagrafe della Ricerca d'Ateneo
La valutazione delle attività di ricerca che si svolgono nelle università ha assunto un'importanza rilevante sia per l'intero sistema universitario sia all'interno di ogni singolo ateneo. Roma Tre si è quindi dotata di idonei strumenti informativi in grado di supportare al meglio le azioni di monitoraggio e di valutazione delle attività di ricerca svolte nei propri dipartimentied ha realizzato una Anagrafe della Ricerca di Ateneo.
EnglishA Liouville-Green (or WKB) asymptotic approximation theory is developed for the class of linear second-order matrix differential equations Y''= [f(t) A + G(t)] Y on [a, + infinity), where A and G(t) are matrices and f(t) is scalar. This includes the case of an ''asymptotically constant'' (not necessarily diagonalizable) coefficient, A (when f(t)=1). An explicit representation for a basis of the right-module of solutions is given, and precise computable bounds for the error terms are provided. The double asymptotic nature with respect to both, t and some parameter entering the matrix coefficient, is also shown. Several examples, some concerning semi-discretized wave and convection-diffusion equations, are given.
SPIGLER R, & M. VIANELLO (2007). Liouville-Green asymptotic approximation for a class of matrix differential equations and semi-discretized partial differential equations. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 325, 69-89.
| Titolo: | Liouville-Green asymptotic approximation for a class of matrix differential equations and semi-discretized partial differential equations |
| Autori: | |
| Data di pubblicazione: | 2007 |
| Rivista: | |
| Citazione: | SPIGLER R, & M. VIANELLO (2007). Liouville-Green asymptotic approximation for a class of matrix differential equations and semi-discretized partial differential equations. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 325, 69-89. |
| Abstract: | A Liouville-Green (or WKB) asymptotic approximation theory is developed for the class of linear second-order matrix differential equations Y''= [f(t) A + G(t)] Y on [a, + infinity), where A and G(t) are matrices and f(t) is scalar. This includes the case of an ''asymptotically constant'' (not necessarily diagonalizable) coefficient, A (when f(t)=1). An explicit representation for a basis of the right-module of solutions is given, and precise computable bounds for the error terms are provided. The double asymptotic nature with respect to both, t and some parameter entering the matrix coefficient, is also shown. Several examples, some concerning semi-discretized wave and convection-diffusion equations, are given. |
| Handle: | http://hdl.handle.net/11590/142416 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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