Bulletin of the American Physical Society
APS April Meeting 2023
Volume 68, Number 6
Minneapolis, Minnesota (Apr 15-18)
Virtual (Apr 24-26); Time Zone: Central Time
Session WW03: V: General Physics III
8:00 AM–9:12 AM,
Wednesday, April 26, 2023
Room: Virtual Room 3
Chair: Alexey Grinin, Northwestern University, Center for Fundamental Physics
Abstract: WW03.00001 : Numerical Methods and Analysis for Computing Forward and Inverse Laplace Transform For discrete and continuous signals*
8:00 AM–8:12 AM
Presenter:
Yueyang Shen
(University of Michigan)
Authors:
Yueyang Shen
(University of Michigan)
Yupeng Zhang
(University of Wisconsin)
Ivo D Dinov
(University of Michigan)
We propose a numerical LT-ILT computing framework, empirically robust, implemented in R, and facilitates numerical computations through appropriate parameter estimations and signal approximations. We illustrate an idealized analysis relaxing the data matrix construction assumptions to bound the smallest singular values to argue algorithmic stability according to theoretical results in random matrix theory.
*This work is supported in part by NSF grants (1916425, 1734853, 1636840) and NIH grants (UL1 TR002240, R01 CA233487, R01 MH121079, R01 MH126137, and T32 GM141746).
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