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)
Numerical methods on Shishkin mesh for singularly perturbed delay differential equations with a grid adaptation strategy. (English) Zbl 1120.65089

Some numerical methods are studied for one-dimensional singularly perturbed differential-difference equations M. Stynes and H.-G. Roos [Appl. Numer. Math. 23, No. 3, 361–374 (1997; Zbl 0877.65055)] proposed a midpoint scheme and a hybrid scheme for singularly perturbed two-point boundary-value problems on a piecewise-uniform Shishkin mesh.

In this paper, the above said schemes are applied to the singularly perturbed differential-difference equations on the Shishkin mesh. Error estimates are obtained, and some numerical examples are carried out.

65L10Boundary value problems for ODE (numerical methods)
34K28Numerical approximation of solutions of functional-differential equations
34K10Boundary value problems for functional-differential equations
65L70Error bounds (numerical methods for ODE)
65L50Mesh generation and refinement (ODE)