A general approach to counterexamples in numerical analysis (Q1059804)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A general approach to counterexamples in numerical analysis |
scientific article; zbMATH DE number 3905165
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A general approach to counterexamples in numerical analysis |
scientific article; zbMATH DE number 3905165 |
Statements
A general approach to counterexamples in numerical analysis (English)
0 references
1984
0 references
A general theorem is proved concerning the existence of functions which are smooth according to one generalized modulus of continuity and not smooth according to another. This theorem is then applied to several specific cases, including estimates for the trapezoid rule and Simpson's rule for quadrature. Examples concerning the rate of convergence of a method of lines for the heat equation are also presented.
0 references
modulus of continuity
0 references
trapezoid rule
0 references
Simpson's rule
0 references
rate of convergence
0 references
method of lines
0 references
heat equation
0 references
