zbMATH — the first resource for mathematics

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.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
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)
On uniform difference schemes of a high order of approximation for evolution equations with a small parameter. (English) Zbl 0675.65055
The author considers initial value problems for the evolution equation ϵv ' +Av=f where ϵ is a small parameter and constructs difference schemes with a high order or approximation that are uniform in ϵ(0,1]. He points out that in order to implement his methods it is necessary to compute high order approximations to exp(-A h ) where A h is the discrete approximation to A.
Reviewer: J.P.D.Donnelly
65J10Equations with linear operators (numerical methods)
65M06Finite difference methods (IVP of PDE)
65L05Initial value problems for ODE (numerical methods)
34G10Linear ODE in abstract spaces
34E15Asymptotic singular perturbations, general theory (ODE)
35B25Singular perturbations (PDE)
35G10Initial value problems for linear higher-order PDE
35K25Higher order parabolic equations, general