Pseudo-goldstone modes and dynamical gap generation from order by thermal disorder
Accidental ground state degeneracies—those not a consequence of global symmetries of
the Hamiltonian—are inevitably lifted by fluctuations, often leading to long-range order, a …
the Hamiltonian—are inevitably lifted by fluctuations, often leading to long-range order, a …
Efficient dealiased convolutions without padding
Algorithms are developed for calculating dealiased linear convolution sums without the
expense of conventional zero-padding or phase-shift techniques. For one-dimensional in …
expense of conventional zero-padding or phase-shift techniques. For one-dimensional in …
The partial fast fourier transform
JC Bowman, Z Ghoggali - Journal of Scientific Computing, 2018 - Springer
An efficient algorithm for computing the one-dimensional partial fast Fourier transform f_j= ∑
_ k= 0^ c (j) e^ 2 π ijk/N F_k fj=∑ k= 0 c (j) e 2 π ijk/NF k is presented. Naive computation of …
_ k= 0^ c (j) e^ 2 π ijk/N F_k fj=∑ k= 0 c (j) e 2 π ijk/NF k is presented. Naive computation of …
Hybrid Dealiasing of Complex Convolutions
N Murasko, JC Bowman - SIAM Journal on Scientific Computing, 2024 - SIAM
Efficient algorithms based on the fast Fourier transform are developed for computing linear
convolutions. A hybrid approach is described that combines the conventional practice of …
convolutions. A hybrid approach is described that combines the conventional practice of …
Casimir cascades in two-dimensional turbulence
JC Bowman - Journal of Fluid Mechanics, 2013 - cambridge.org
In addition to conserving energy and enstrophy, the nonlinear terms of the two-dimensional
incompressible Navier–Stokes equation are well known to conserve the global integral of …
incompressible Navier–Stokes equation are well known to conserve the global integral of …
Dealiased convolutions for pseudospectral simulations
Efficient algorithms have recently been developed for calculating dealiased linear
convolution sums without the expense of conventional zero-padding or phase-shift …
convolution sums without the expense of conventional zero-padding or phase-shift …
Adaptive matrix transpose algorithms for distributed multicore processors
An adaptive parallel matrix transpose algorithm optimized for distributed multicore
architectures running in a hybrid OpenMP/MPI configuration is presented. Significant boosts …
architectures running in a hybrid OpenMP/MPI configuration is presented. Significant boosts …
[图书][B] Multispectral reduction of two-dimensional turbulence
M Roberts - 2011 - books.google.com
Turbulence is a chaotic motion of fluid that can be described by the Navier–Stokes
equations or even highly simplified shell models. Under the continuum limit, standard shell …
equations or even highly simplified shell models. Under the continuum limit, standard shell …
Hybrid Dealiased Convolutions
N Murasko - 2024 - era.library.ualberta.ca
Efficient algorithms for computing linear convolutions based on the fast Fourier transform are
developed. A hybrid approach is described that combines the conventional practice of …
developed. A hybrid approach is described that combines the conventional practice of …
Pseudospectral reduction of incompressible two-dimensional turbulence
Spectral reduction was originally formulated entirely in the wavenumber domain as a coarse-
grained wavenumber convolution in which bins of modes interact with enhanced coupling …
grained wavenumber convolution in which bins of modes interact with enhanced coupling …