Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic Analysis and Synthesis in Mechanics of Solids and Nonlinear
  Dynamics   In this lectures various methods which give a possibility to extend an area
of applicability of perturbation series and hence to omit their local character
are analysed. While applying asymptotic methods as a rule the following
situation appears: the existence of asymptotics for $\ve\rightarrow 0$ implies
an existence of the asymptotics for $\ve\rightarrow\infty$. Therefore, the idea
to construct one function valid for the whole parameter interval for $\ve$ is
very attractive. The construction of asymptotically equivalent functions
possessing a known asymptotic behaviour for $\ve\rightarrow 0$ and
$\ve\rightarrow \infty$ will be discussed. Using summation and interpolation
procedures we focus on continuous models derived from a discrete
micro-structure. Various continualization procedures that take the non-local
interaction between variables of the discrete media into account are analysed.

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The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
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The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: funct-an