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

the development of suggestions of singularly perturbed structures of equations and boundary price difficulties which are attribute for the mechanics of thin-walled constructions are the main target of the booklet. The theoretical effects are supplemented by way of the research of difficulties and routines. the various themes 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 $64000 idea of the index of edition for features distinctive consciousness is dedicated to eigenvalue difficulties containing a small parameter. the most a part of the publication bargains with equipment of asymptotic strategies 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. quite a few workouts and examples in addition to giant references to the proper Russian literature no longer popular for an English conversing reader makes this a vital textbook at the subject.  

Show description

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

Best differential equations books

Solution Techniques for Elementary Partial Differential Equations, Second Edition (Chapman Hall/CRC Mathematics Series)

Incorporating a couple of improvements, answer concepts for simple Partial Differential Equations, moment variation offers one of the most vital and popular tools for fixing partial differential equations (PDEs). The ideas lined contain separation of variables, approach to features, eigenfunction growth, Fourier and Laplace changes, Green’s capabilities, perturbation tools, and asymptotic research.

The Universality of the Radon Transform (Oxford Mathematical Monographs)

Written by way of a number one student in arithmetic, this monograph discusses the Radon rework, a box that has broad ranging functions to X-ray know-how, partial differential equations, nuclear magnetic resonance scanning, and tomography. during this e-book, Ehrenpreis makes a speciality of contemporary learn and highlights the powerful dating among high-level natural arithmetic and purposes of the Radon rework to parts akin to scientific imaging.

Abstract Parabolic Evolution Equations and their Applications (Springer Monographs in Mathematics)

This monograph is meant to give the basics of the speculation of summary parabolic evolution equations and to teach how one can observe to numerous nonlinear dif- sion equations and platforms coming up in technological know-how. the idea provides us a uni? ed and s- tematic therapy for concrete nonlinear diffusion types.

Scientific Computing and Differential Equations: An Introduction to Numerical Methods

Clinical Computing and Differential Equations: An advent to Numerical tools, is a superb supplement to creation to Numerical equipment through Ortega and Poole. The e-book emphasizes the significance of fixing differential equations on a working laptop or computer, which includes a wide a part of what has become referred to as clinical computing.

Additional resources for Asymptotic methods in mechanics of solids (International Series of Numerical Mathematics)

Sample text

Download PDF sample

Rated 4.19 of 5 – based on 47 votes