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 price difficulties which are attribute for the mechanics of thin-walled buildings are the main target of the booklet. The theoretical effects are supplemented by means of the research of difficulties and workouts. a number of the subject matters 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 version for features specified recognition is dedicated to eigenvalue difficulties containing a small parameter. the most a part of the booklet bargains with equipment of asymptotic options of linear singularly perturbed boundary and boundary price difficulties with or without turning issues, respectively. As examples, one-dimensional equilibrium, dynamics and balance difficulties for inflexible our bodies and solids are provided intimately. various workouts and examples in addition to mammoth references to the suitable Russian literature now not popular for an English conversing reader makes this a imperative textbook at the subject.  

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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 price difficulties which are attribute for the mechanics of thin-walled buildings are the main target of the booklet. The theoretical effects are supplemented by means of the research of difficulties and workouts. a number of the subject matters 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 version for features specified recognition is dedicated to eigenvalue difficulties containing a small parameter. the most a part of the booklet bargains with equipment of asymptotic options of linear singularly perturbed boundary and boundary price difficulties with or without turning issues, respectively. As examples, one-dimensional equilibrium, dynamics and balance difficulties for inflexible our bodies and solids are provided intimately. various workouts and examples in addition to mammoth references to the suitable Russian literature now not popular for an English conversing reader makes this a imperative textbook at the subject.  

Show description

Read Online or Download Asymptotic methods in mechanics of solids (International Series of Numerical Mathematics) PDF

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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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