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)
Controlling the error growth in long-term numerical integration of perturbed oscillations in one or several frequencies. (English) Zbl 1041.65058
Summary: We present a simple technique that allows us to limit the error growth in the long-term numerical integration of perturbed multi-dimensional oscillators, while using highly efficient and accurate special multi-step codes. After laying down the theoretical basis of their behaviour, we then illustrate them with some numerical examples, including a case with non-resonant frequencies, seldom found in the related literature.
MSC:
65L05Initial value problems for ODE (numerical methods)
65L07Numerical investigation of stability of solutions of ODE
70-08Computational methods (mechanics of particles and systems)
34C15Nonlinear oscillations, coupled oscillators (ODE)
34E10Perturbations, asymptotics (ODE)