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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139 pages Ex-Library book in good condition. 9783540550099 Sprache: Englisch Gewicht in Gramm: 440. Seller Inventory # 1162150
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book concerns the question of how the solution of asystem of ODE's varies when the differential equationvaries. The goal is to give nonzero asymptotic expansionsfor the solution in terms of a parameter expressing how somecoefficients go to infinity. A particular classof familiesof equations is considered, where the answer exhibits a newkind of behavior not seen in most work known until now. Thetechniques include Laplace transform and the method ofstationary phase, and a combinatorial technique forestimating the contributions of terms in an infinite seriesexpansion for the solution. Addressed primarily toresearchers inalgebraic geometry, ordinary differentialequations and complex analysis, the book will also be ofinterest to applied mathematicians working on asymptotics ofsingular perturbations and numerical solution of ODE's. 148 pp. Englisch. Seller Inventory # 9783540550099
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book concerns the question of how the solution of asystem of ODE's varies when the differential equationvaries. The goal is to give nonzero asymptotic expansionsfor the solution in terms of a parameter expressing how somecoefficients go to infinity. A particular classof familiesof equations is considered, where the answer exhibits a newkind of behavior not seen in most work known until now. Thetechniques include Laplace transform and the method ofstationary phase, and a combinatorial technique forestimating the contributions of terms in an infinite seriesexpansion for the solution. Addressed primarily toresearchers inalgebraic geometry, ordinary differentialequations and complex analysis, the book will also be ofinterest to applied mathematicians working on asymptotics ofsingular perturbations and numerical solution of ODE's. Seller Inventory # 9783540550099
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This book concerns the question of how the solution of asystem of ODE s varies when the differential equationvaries. The goal is to give nonzero asymptotic expansionsfor the solution in terms of a parameter expressing how somecoefficients go to infin. Seller Inventory # 4893417
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