A quasilinear complexity algorithm for the numerical solution of the two-dimensional variable coefficient Helmholtz equation in the radially symmetric case - Note: Different Location

Seminar:

A quasilinear complexity algorithm for the numerical solution of the two-dimensional variable coefficient Helmholtz equation in the radially symmetric case - Note: Different Location
Thursday, October 24, 2019
3:30PM – 5PM
POB 4.304

James Bremer

Most algorithms for the numerical solution of the two-dimensional variable coefficient Helmholtz equation have running times which scale quadratically with the wavenumber k. I will describe a method which only applies in the case of a radially symmetric potential, but whose running time scales as O(k log(k) ) and which achieves accuracy consistent with the condition number of the operator being inverted.

Bio
Website: https://www.math.ucdavis.edu/~bremer/index.html

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