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The general theme of this RFG is to introduce students to recent advances in the
field of numerical computation, and the application of numerical techniques to
problems in mathematics and engineering. The focus of this RFG will be on
band-limited functions and fast algorithms, both of which are closely linked to
numerical linear algebra, another active research area pursued at our
department. In addition, application of numerical techniques in problems in
signal processing, image processing, will be included.
Program Calendar
 | MAT 290-01/MAT 290-75
Applied Mathematics Seminar (in Conjuction with the Seminar on
Band-Limited Methods and Fast Algorithm),
Fridays 4:10pm - 5pm, Kerr 693, Fall Quarter.
Please visit here for
titles and abstracts.
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Organizers
In this reading seminar, we will focus on mathematical theory and
associated algorithms for approximation, interpolation, integration,
and reconstruction of functions with the aid of band-limited functions
(that is, functions with compactly supported Fourier transforms). Our
motivation comes from the increasing need of accurate and fast
numerical algorithms for problems in communication, signal processing,
and data analysis.
Topics we wish to cover include:
 | Fourier Analysis and Sampling Theorem
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 | Alternative Band-Limited Basis, Prolate Spheroidal Wave Functions
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 | Interpolation, Quadratures, Approximation
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 | Fast Fourier Transform, Non-equispaced FFT
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 | Fast Multipole Methods
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 | Random Sampling
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 | Applications
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Other Information:
 | Course Number: MAT 290-64 |
 | CRN: 60832 (winter), 80271 (spring) |

xiaoh@mathdotucdavis.edu
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