On highly oscillatory problems arising in electronic engineering
Marissa Condon; Alfredo Deaño; Arieh Iserles
ESAIM: Mathematical Modelling and Numerical Analysis (2009)
- Volume: 43, Issue: 4, page 785-804
- ISSN: 0764-583X
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topCondon, Marissa, Deaño, Alfredo, and Iserles, Arieh. "On highly oscillatory problems arising in electronic engineering." ESAIM: Mathematical Modelling and Numerical Analysis 43.4 (2009): 785-804. <http://eudml.org/doc/250582>.
@article{Condon2009,
abstract = {
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.
},
author = {Condon, Marissa, Deaño, Alfredo, Iserles, Arieh},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {High oscillation; quadrature; ordinary differential equations.; rapid oscillation; asymptotic analysis; oscillatory integrals; electronic engineering; Filon-type methods},
language = {eng},
month = {7},
number = {4},
pages = {785-804},
publisher = {EDP Sciences},
title = {On highly oscillatory problems arising in electronic engineering},
url = {http://eudml.org/doc/250582},
volume = {43},
year = {2009},
}
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
DA - 2009/7//
PB - EDP Sciences
VL - 43
IS - 4
SP - 785
EP - 804
AB -
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.
LA - eng
KW - High oscillation; quadrature; ordinary differential equations.; rapid oscillation; asymptotic analysis; oscillatory integrals; electronic engineering; Filon-type methods
UR - http://eudml.org/doc/250582
ER -
References
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