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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:On the Wiener-Hopf technique and its applications
in science and engineering: Lecture 2 - David Abra
hams (Isaac Newton Institute)
DTSTART;TZID=Europe/London:20190807T141500
DTEND;TZID=Europe/London:20190807T153000
UID:TALK128176AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/128176
DESCRIPTION:It is a little nearly 90 years since two of
the most important mathematicians of the 20th cent
ury collaborated on finding the exact solution of
a particular equation with semi-infinite convoluti
on type integral operator. The elegance and analyt
ical sophistication of the method\, now called the
Wiener-Hopf technique\, impress all who use it. I
ts applicability to almost all branches of enginee
ring\, mathematical physics and applied mathematic
s is borne out by the many thousands of papers pub
lished on the subject since its conception. This
series of three lectures will be informal in natu
re and directed at researchers who are either at a
n early stage of their career or else unfamiliar w
ith particular aspects of the subject. Their aim i
s to demonstrate the beauty of the topic and its w
ide range of applications\, and will be delivered
in a traditional applied mathematical style. The l
ectures will not try to offer a comprehensive over
view of the literature but will instead focus on s
pecific topics that have been of interest over the
years to the speaker. \; \;

The first lecture shall offer a subjective rev
iew of the subject\, introducing the notation to b
e employed in later lectures\, and indicating a sa
mple of the enormous range of applications that ha
ve been found for the technique. The second lectur
e will focus on exact and approximate solution met
hods for scalar and vector Wiener-Hopf equations\,
and indicate the similarities and differences of
the various approaches used. The final lecture sha
ll continue discussion of approximate approaches\,
combining these with one or more specific applica
tions of current interest to the speaker.

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br>

LOCATION:Seminar Room 1\, Newton Institute
CONTACT:info@newton.ac.uk
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