Asymptotic methods in mechanics of solids (International by Svetlana M. Bauer,Sergei B. Filippov,Andrei L. Smirnov,Petr 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 suggestions of singularly perturbed structures of equations and boundary price difficulties which are attribute for the mechanics of thin-walled buildings are the focus of the ebook. The theoretical effects are supplemented by means of the research of difficulties and workouts. many of the issues are hardly mentioned within the textbooks, for instance, the Newton polyhedron, that's a generalization of the Newton polygon for equations with or extra parameters. After introducing the real thought of the index of edition for services detailed cognizance is dedicated to eigenvalue difficulties containing a small parameter. the most a part of the booklet offers with equipment of asymptotic strategies 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. various routines and examples in addition to huge references to the suitable Russian literature now not renowned for an English talking reader makes this a vital 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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