Contact: phoebe.lee@duke.edu
Sponsor: WiSE: Women in Science and Engineering
Where: Faculty Lounge room at Faculty Commons
Why:
Dr. Ingrid Daubechies from Princeton's Program in Applied and
Computational Mathematics and Mathematics Department, and the speaker
of Duke's 2009 Hertha Sponer Presidential Lecture, will be meeting
students and post-docs for a lively lunch discussion next Monday,
12:00-1:15 in Faculty Lounge room at Faculty Commons.
Free buffet lunch will be provided, please RSVP for a spot!
Dr. Daubechies biography and works can be found at:
http://www.pacm.princeton.edu/~ingrid/
http://www.math.princeton.edu/index.html
Seminar info:-------------------------
-----------------
Annual Hertha Sponer Presidential Lecture
Monday, April 6, 2009, 4:00pm
Ingrid Daubechies (Princeton's Program in Applied and Computational
Mathematics and Mathematics Department)
"Applications woven into the mathematical fabric"
Abstract:
Traditionally, applied mathematicians have often been interested in
problems stemming from physics or other natural sciences. In this
framework, the standard paradigm is to carry out, and push as far as
feasible, a detailed non-quantitative mathematical analysis of the
phenomena at hand, even in cases where the computation of quantitative
results is a goal from the start of the study. Typically, the
transition to numerical computation happens only after the theoretical
analysis. The realization that this transition has to be done
extremely carefully in order to give meaningful results, gave rise to
the very rich mathematical field of numerical analysis. Nonetheless,
there is often a separation between the two stages: the mathematical
analysis of the problem at hand in a first step, followed by numerical
analysis to determine good algorithms for numerical results in a
second step. The last few decades have seen the emergence of branches
of applied mathematics in which the requirements of the implementation
not only drive the numerical analysis at the end, but also play an
important role in much earlier stages, including the mathematical
framing of the problem, at the start of the study. This has generated
a different kind of mathematical challenge, stimulated by the
requirements of engineering design rather than natural science
problems, but equally interesting and possibly far-reaching. The
presentation will present several instances of this interplay between
algorithms and analysis, borrowed from work done by the speaker
herself as well as many others; examples are wavelets,
analog-to-digital conversion and sparse expansions.
Annual Hertha Sponer Presidential Lecture
Monday, April 6, 2009, 4:00pm
Ingrid Daubechies (Princeton's Program in Applied and Computational
Mathematics and Mathematics Department)
"Applications woven into the mathematical fabric"
Abstract:
Traditionally, applied mathematicians have often been interested in
problems stemming from physics or other natural sciences. In this
framework, the standard paradigm is to carry out, and push as far as
feasible, a detailed non-quantitative mathematical analysis of the
phenomena at hand, even in cases where the computation of quantitative
results is a goal from the start of the study. Typically, the
transition to numerical computation happens only after the theoretical
analysis. The realization that this transition has to be done
extremely carefully in order to give meaningful results, gave rise to
the very rich mathematical field of numerical analysis. Nonetheless,
there is often a separation between the two stages: the mathematical
analysis of the problem at hand in a first step, followed by numerical
analysis to determine good algorithms for numerical results in a
second step. The last few decades have seen the emergence of branches
of applied mathematics in which the requirements of the implementation
not only drive the numerical analysis at the end, but also play an
important role in much earlier stages, including the mathematical
framing of the problem, at the start of the study. This has generated
a different kind of mathematical challenge, stimulated by the
requirements of engineering design rather than natural science
problems, but equally interesting and possibly far-reaching. The
presentation will present several instances of this interplay between
algorithms and analysis, borrowed from work done by the speaker
herself as well as many others; examples are wavelets,
analog-to-digital conversion and sparse expansions.