For more information about this meeting, contact Leonid Berlyand.
| Title: | Ordinary differential equations as analog computers. |
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| Seminar: | Applied Analysis Seminar |
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| Speaker: | Alessandro Arsie, MIT/PSU |
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| Abstract: |
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| In recent years the topic of Analog Computation has become fashionable
mainly due to possible applications in Quantum Control and Quantum
Computation.
The basic idea is to look at (ordinary) differential equations in a new
light: not only
as a description of natural phenomena, but also as "machines" (or analog
computers)
that perform certain tasks, which were previously thought to be approachable
only via a computer scientist point of view.
Surprisingly ODE of special form (for instance in Lax form) can perform
typical algorithmic
tasks like sorting a list of numbers, diagonalizing matrices, solving
inverse
eigenvalue problems in linear algebra and linear programming problems.
I will discuss some recent result about a system of ODEs that diagonalize
a real matrix
with simple spectrum and I will point out longstanding open problems in
this area which lies
at the crossroad of analysis, numerical analysis and geometry. |
Room Reservation Information
| Room Number: | MB106 |
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| Date: | 04 / 15 / 2008 |
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| Time: | 04:00pm - 05:00pm |
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