On highly oscillatory problems arising in electronic engineering
ESAIM: Mathematical Modelling and Numerical Analysis , Special issue on Numerical ODEs today, Tome 43 (2009) no. 4, pp. 785-804.

Voir la notice de l'article dans Numdam

In this paper, we consider linear ordinary differential equations originating in electronic engineering, which exhibit exceedingly rapid oscillation. Moreover, the oscillation model is completely different from the familiar framework of asymptotic analysis of highly oscillatory integrals. Using a Bessel-function identity, we expand the oscillator into asymptotic series, and this allows us to extend Filon-type approach to this setting. The outcome is a time-stepping method that guarantees high accuracy regardless of the rate of oscillation.

DOI : 10.1051/m2an/2009024
Classification : 65L05, 65T99
Mots-clés : high oscillation, quadrature, ordinary differential equations 
@article{M2AN_2009__43_4_785_0,
     author = {Condon, Marissa and Dea\~no, Alfredo and Iserles, Arieh},
     title = {On highly oscillatory problems arising in electronic engineering},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {785--804},
     publisher = {EDP-Sciences},
     volume = {43},
     number = {4},
     year = {2009},
     doi = {10.1051/m2an/2009024},
     zbl = {1172.78009},
     mrnumber = {2542877},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/articles/10.1051/m2an/2009024/}
}
TY  - JOUR
AU  - Condon, Marissa
AU  - Deaño, Alfredo
AU  - Iserles, Arieh
TI  - On highly oscillatory problems arising in electronic engineering
JO  - ESAIM: Mathematical Modelling and Numerical Analysis 
PY  - 2009
SP  - 785
EP  - 804
VL  - 43
IS  - 4
PB  - EDP-Sciences
UR  - https://geodesic-test.mathdoc.fr/articles/10.1051/m2an/2009024/
DO  - 10.1051/m2an/2009024
LA  - en
ID  - M2AN_2009__43_4_785_0
ER  - 
%0 Journal Article
%A Condon, Marissa
%A Deaño, Alfredo
%A Iserles, Arieh
%T On highly oscillatory problems arising in electronic engineering
%J ESAIM: Mathematical Modelling and Numerical Analysis 
%D 2009
%P 785-804
%V 43
%N 4
%I EDP-Sciences
%U https://geodesic-test.mathdoc.fr/articles/10.1051/m2an/2009024/
%R 10.1051/m2an/2009024
%G en
%F M2AN_2009__43_4_785_0
Condon, Marissa; Deaño, Alfredo; Iserles, Arieh. On highly oscillatory problems arising in electronic engineering. ESAIM: Mathematical Modelling and Numerical Analysis , Special issue on Numerical ODEs today, Tome 43 (2009) no. 4, pp. 785-804. doi : 10.1051/m2an/2009024. https://geodesic-test.mathdoc.fr/articles/10.1051/m2an/2009024/

Cité par Sources :