zbMATH — the first resource for mathematics

Examples
Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

Operators
a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
Fields
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Some asymptotic methods for strongly nonlinear equations. (English) Zbl 1102.34039
The purpose of this survey paper is to discuss recent developments in asymptotic methods for solving both weakly and strongly nonlinear differential equations. In particular, variational approaches, asymptotic expansions in a small parameter, parametrized perturbation, homotopy perturbation, iteration perturbation methods are reviewed and appropriate illustrative examples are considered. The paper is finished with an interesting historical overview of ancient Chinese numerical methods which are not-so-well-known to the mathematical community outside China.

MSC:
34E10Perturbations, asymptotics (ODE)
34A34Nonlinear ODE and systems, general
34E05Asymptotic expansions (ODE)
34E13Multiple scale methods (ODE)
49J40Variational methods including variational inequalities
01A25Chinese mathematics