Differential Equations

Download e-book for iPad: Asymptotic methods in mechanics of solids (International by Svetlana M. Bauer,Sergei B. Filippov,Andrei L. Smirnov,Petr

By Svetlana M. Bauer,Sergei B. Filippov,Andrei L. Smirnov,Petr E. Tovstik,Rémi Vaillancourt

the development of strategies of singularly perturbed structures of equations and boundary price difficulties which are attribute for the mechanics of thin-walled buildings are the main target of the booklet. The theoretical effects are supplemented via the research of difficulties and workouts. a number of the issues are infrequently mentioned within the textbooks, for instance, the Newton polyhedron, that is a generalization of the Newton polygon for equations with or extra parameters. After introducing the $64000 proposal of the index of edition for capabilities distinct realization is dedicated to eigenvalue difficulties containing a small parameter. the most a part of the publication bargains with equipment of asymptotic recommendations of linear singularly perturbed boundary and boundary worth difficulties with or without turning issues, respectively. As examples, one-dimensional equilibrium, dynamics and balance difficulties for inflexible our bodies and solids are offered intimately. quite a few routines and examples in addition to huge references to the correct Russian literature no longer renowned for an English conversing reader makes this a crucial textbook at the subject.  

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Asymptotic methods in mechanics of solids (International Series of Numerical Mathematics) by Svetlana M. Bauer,Sergei B. Filippov,Andrei L. Smirnov,Petr E. Tovstik,Rémi Vaillancourt


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