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1. |
Record Nr. |
UNINA990001483740403321 |
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Autore |
CERN School of computing : <23. ; : 2000 |
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Titolo |
2000 CERN School of Computing : Marathon, Greece, 17-30 September : proceedings / editor C.E. Vandoni |
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Pubbl/distr/stampa |
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ISBN |
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Descrizione fisica |
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xii, 174 p. : ill. ; 30 cm |
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Collana |
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Locazione |
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Collocazione |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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In testa al front.: CERN Organisation Européenne pour la Recherche Nucléaire, European Organization for Nuclear Research. |
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2. |
Record Nr. |
UNISA996466772603316 |
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Autore |
Simpson Carlos <1962-> |
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Titolo |
Asymptotic behavior of monodromy : singularly perturbed differential equations on a Riemann surface / / Carlos Simpson |
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Pubbl/distr/stampa |
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Berlin, Heidelberg : , : Springer Verlag, , [1991] |
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©1991 |
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ISBN |
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Edizione |
[1st ed. 1991.] |
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Descrizione fisica |
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1 online resource (VI, 142 p.) |
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Collana |
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Lecture Notes in Mathematics, , 0075-8434 ; ; 1502 |
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Disciplina |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di contenuto |
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Ordinary differential equations on a Riemann surface -- Laplace transform, asymptotic expansions, and the method of stationary phase -- Construction of flows -- Moving relative homology chains -- The main lemma -- Finiteness lemmas -- Sizes of cells -- Moving the cycle of integration -- Bounds on multiplicities -- Regularity of individual terms -- Complements and examples -- The Sturm-Liouville problem. |
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Sommario/riassunto |
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This book concerns the question of how the solution of a system of ODE's varies when the differential equation varies. The goal is to give nonzero asymptotic expansions for the solution in terms of a parameter expressing how some coefficients go to infinity. A particular classof families of equations is considered, where the answer exhibits a new kind of behavior not seen in most work known until now. The techniques include Laplace transform and the method of stationary phase, and a combinatorial technique for estimating the contributions of terms in an infinite series expansion for the solution. Addressed primarily to researchers inalgebraic geometry, ordinary differential equations and complex analysis, the book will also be of interest to applied mathematicians working on asymptotics of singular perturbations and numerical solution of ODE's. |
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