132 citations · 303 across the 16 of their papers we have counts for
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math.NA2016★ 6 cited
INFFTM: Fast evaluation of 3d Fourier series in MATLAB with an application to quantum vortex reconnections
Marco Caliari, Simone Zuccher
Although Fourier series approximation is ubiquitous in computational physics owing to the Fast Fourier Transform (FFT) algorithm, efficient techniques for the fast evaluation of a…
math.NA2016
A splitting approach for the magnetic Schrödinger equation
Marco Caliari, Alexander Ostermann, Chiara Piazzola
The Schrödinger equation in the presence of an external electromagnetic field is an important problem in computational quantum mechanics. It also provides a nice example of a diffe…
math.NA2016
Reliability of the time splitting Fourier method for singular solutions in quantum fluids
Marco Caliari, Simone Zuccher
We extensively study the numerical accuracy of the well-known time splitting Fourier spectral method for the approximation of singular solutions of the Gross-Pitaevskii equation. I…