Read e-book online Asymptotic methods in mechanics of solids (International PDF

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

ISBN-10: 3319183109

ISBN-13: 9783319183107

ISBN-10: 3319386824

ISBN-13: 9783319386829

the development of ideas of singularly perturbed structures of equations and boundary worth difficulties which are attribute for the mechanics of thin-walled buildings are the focus of the booklet. The theoretical effects are supplemented by means of the research of difficulties and workouts. a number of the subject matters 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 real inspiration of the index of edition for features certain consciousness is dedicated to eigenvalue difficulties containing a small parameter. the most a part of the ebook offers with tools of asymptotic options 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 awarded intimately. quite a few routines and examples in addition to tremendous references to the appropriate Russian literature no longer popular for an English talking reader makes this a integral 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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