Concept
Fourier transform on finite groups
Related publications (31)
Verification of the Fourier-enhanced 3D finite element Poisson solver of the gyrokinetic full-f code PICLS
Laurent Villard, Stephan Brunner, Alberto Bottino, Moahan Murugappan
We introduce and derive the Fourier -enhanced 3D electrostatic field solver of the gyrokinetic full -f PIC code PICLS. The solver makes use of a Fourier representation in one periodic direction of the domain to make the solving of the system easily paralle ...
Elsevier2024Dissipative Solitons and Switching Waves in Dispersion-Modulated Kerr Cavities
Tobias Kippenberg, Rui Ning Wang, Aleksandr Tusnin, Alisa Davydova, Miles Henry Anderson, Alexey Tikan
We theoretically and experimentally investigate the formation of dissipative coherent structures in Kerr nonlinear optical microresonators, whose spectrum encompasses an integrated dispersion that exceeds the cavity free-spectral range. We are able to acce ...
AMER PHYSICAL SOC2023Enabling Accuracy-Aware Quantum Compilers using Symbolic Resource Estimation
Approximation errors must be taken into account when compiling quantum programs into a low-level gate set. We present a methodology that tracks such errors automatically and then optimizes accuracy parameters to guarantee a specified overall accuracy while ...
ASSOC COMPUTING MACHINERY2020Simulating background shear flow in local gyrokinetic simulations
Stephan Brunner, Justin Richard Ball, Ben McMillan
Local gyrokinetic simulations solve the gyrokinetic equations with homogeneous background gradients, typically using a doubly periodic domain in the (x, y) plane (i.e. perpendicular to the field line). Spatial Fourier representations are almost universal i ...
2019Unified Theory for Recovery of Sparse Signals in a General Transform Domain
Compressed sensing is provided a data-acquisition paradigm for sparse signals. Remarkably, it has been shown that the practical algorithms provide robust recovery from noisy linear measurements acquired at a near optimal sampling rate. In many real-world a ...
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2018An FFT-based Numerical Method for Elasto-Plastic Contact
Jean-François Molinari, Guillaume Anciaux, Lucas Henri Galilée Frérot
Contact of rough surfaces is of prime importance in the study of friction and wear. Numerical simulations are well suited for this non-linear problem, but natural surfaces being fractal [1], they have high discretization requirements. There is therefore a ...
2018