The Resource Asymptotic methods in mechanics of solids, by Svetlana M. Bauer, Sergei B. Filippov, Andrei L. Smirnov, Petr E. Tovstik, Rémi Vaillancourt, (electronic resource)

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

Label
Asymptotic methods in mechanics of solids
Title
Asymptotic methods in mechanics of solids
Statement of responsibility
by Svetlana M. Bauer, Sergei B. Filippov, Andrei L. Smirnov, Petr E. Tovstik, Rémi Vaillancourt
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
The construction of solutions of singularly perturbed systems of equations and boundary value problems that are characteristic for the mechanics of thin-walled structures are the main focus of the book. The theoretical results are supplemented by the analysis of problems and exercises. Some of the topics are rarely discussed in the textbooks, for example, the Newton polyhedron, which is a generalization of the Newton polygon for equations with two or more parameters. After introducing the important concept of the index of variation for functions special attention is devoted to eigenvalue problems containing a small parameter. The main part of the book deals with methods of asymptotic solutions of linear singularly perturbed boundary and boundary value problems without or with turning points, respectively. As examples, one-dimensional equilibrium, dynamics and stability problems for rigid bodies and solids are presented in detail. Numerous exercises and examples as well as vast references to the relevant Russian literature not well known for an English speaking reader makes this a indispensable textbook on the topic
Member of
http://library.link/vocab/creatorName
Bauer, Svetlana M
Image bit depth
0
LC call number
QA372
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Filippov, Sergei B.
  • Smirnov, Andrei L.
  • Tovstik, Petr E.
  • Vaillancourt, Rémi.
  • SpringerLink
Series statement
International Series of Numerical Mathematics,
Series volume
167
http://library.link/vocab/subjectName
  • Mathematics
  • Differential Equations
  • Differential equations, partial
  • Mechanics
  • Mathematics
  • Ordinary Differential Equations
  • Partial Differential Equations
  • Mechanics
Label
Asymptotic methods in mechanics of solids, by Svetlana M. Bauer, Sergei B. Filippov, Andrei L. Smirnov, Petr E. Tovstik, Rémi Vaillancourt, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Asymptotic Estimates.- Asymptotic Estimates for Integrals.- Regular Perturbation of ODE's.- Singularly Perturbed Linear ODE's.- Linear ODE's with Turning Points.- Asymptotic Integration of Nonlinear ODE's -- Bibliography -- Index
Dimensions
unknown
Extent
XXI, 325 p. 88 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783319183114
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-18311-4
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-18311-4
Label
Asymptotic methods in mechanics of solids, by Svetlana M. Bauer, Sergei B. Filippov, Andrei L. Smirnov, Petr E. Tovstik, Rémi Vaillancourt, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Asymptotic Estimates.- Asymptotic Estimates for Integrals.- Regular Perturbation of ODE's.- Singularly Perturbed Linear ODE's.- Linear ODE's with Turning Points.- Asymptotic Integration of Nonlinear ODE's -- Bibliography -- Index
Dimensions
unknown
Extent
XXI, 325 p. 88 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783319183114
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-18311-4
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-18311-4

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