On singular BVPs with nonsmooth data: convergence of the collocation schemes

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F17%3A73582798" target="_blank" >RIV/61989592:15310/17:73582798 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007%2Fs10543-017-0686-5" target="_blank" >https://link.springer.com/article/10.1007%2Fs10543-017-0686-5</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10543-017-0686-5" target="_blank" >10.1007/s10543-017-0686-5</a>

Result language
angličtina
Original language name
On singular BVPs with nonsmooth data: convergence of the collocation schemes
Original language description
This paper deals with the collocation method applied to solve systems of singular linear ordinary differential equations with variable coefficient matrices and nonsmooth inhomogeneities. The classical stage convergence order is shown to hold for the piecewise polynomial collocation applied to boundary value problems with time singularities of the first kind provided that their solutions are appropriately smooth. The convergence theory is illustrated by numerical examples.
Czech name
—
Czech description
—

Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA14-06958S" target="_blank" >GA14-06958S: Singularities and impulses in boundary value problems for nonlinear ordinary differential equations</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)