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math.NA2025
A generalized reduction scheme for the Stochastic Weighted Particle Method
Matthew Goeckner, Donovan Harcey, Rainier Q Pederson +2
The Stochastic Weighted Particle Method (SWPM) of Rjasanow and Wagner is a generalization of the Direct Simulation Monte Carlo method for computing the probability density function…
math.NA2025
Floquet stability of periodically stationary pulses in a short-pulse fiber laser
Vrushaly Shinglot, John Zweck
The quantitative modeling and design of modern short-pulse fiber lasers cannot be performed with averaged models because of large variations in the pulse parameters within each rou…
math.NA2025
Numerical Fredholm determinants for matrix-valued kernels on the real line
Erika Gallo, John Zweck, Yuri Latushkin
We analyze a numerical method for computing Fredholm determinants of trace class and Hilbert Schmidt integral operators defined in terms of matrix-valued kernels on the entire real…