Publications related to Sparse spectral approximations for computing polynomial functionals

A Fourier-accelerated volume integral method for elastoplastic contact

Jean-François Molinari, Guillaume Anciaux, Lucas Henri Galilée Frérot

The contact of solids with rough surfaces plays a fundamental role in physical phenomena such as friction, wear, sealing, and thermal transfer. However, its simulation is a challenging problem due to surface asperities covering a wide range of length-scale ...

2019

Simulating 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 ...

2019

Redshift-weighted constraints on primordial non-Gaussianity from the clustering of the eBOSS DR14 quasars in Fourier space

Cheng Zhao

We present constraints on local primordial non-Gaussianity (PNG), parametrized through f(NL)(loc), using the Sloan Digital Sky Survey IV extended Baryon Oscillation Spectroscopic Survey Data Release 14 quasar sample. We measure and analyze the anisotropic ...

IOP PUBLISHING LTD2019

The Particle-In-Fourier (PIF) Approach Applied to Gyrokinetic Simulations

Laurent Villard, Stephan Brunner, Emmanuel Lanti, Noé Thomas Elie Ohana, Claudio Gheller, Aaron Lewis Scheinberg

A widespread method for gyrokinetic simulations relies on the discretization of distribution functions with numerical markers. The electromagnetic field is typically represented on a grid by finite differences or finite elements (Particle-In-Cell, PIC). Wh ...

2017

Modeling Creeping Flow through a Closed Crack with a Self-Affine Geometry and an Extension to Permeability of Cracked Media, Poromechanics VI

Jean-François Molinari, Guillaume Anciaux, Vladislav Yastrebov

To model a creeping flow through closed cracks in cracked materials we study a normal mechanical contact between two elastic half-spaces with rough surfaces is studied. The roughness is modeled using a filtering technique in Fourier space: the root mean sq ...

2017

A Spectral Method for Generating Surrogate Graph Signals

Dimitri Nestor Alice Van De Ville, Elvira Pirondini, Martina Coscia, Anna Vybornova

The increasing availability of network data is leading to a growing interest in processing of signals on graphs. One notable tool for extending conventional signal-processing operations to networks is the graph Fourier transform that can be obtained as the ...

Institute of Electrical and Electronics Engineers2016

A vector field method on the distorted Fourier side and decay for wave equations with potentials

Joachim Krieger, Roland Donninger

We study the Cauchy problem for the one-dimensional wave equation

\partial_t^2 u(t,x)-\partial_x^2 u(t,x)+V(x)u(t,x)=0.

The potential

V

is assumed to be smooth with asymptotic behavior

V(x)\sim -\tfrac14 |x|^{-2}\mbox{ as } |x|\to \infty.

...

2016

Detecting and Localizing Differences in Functional Time Series Dynamics: A Case Study in Molecular Biophysics

Victor Panaretos, Shahin Tavakoli

Motivated by the problem of inferring the molecular dynamics of DNA in solution, and linking them with its base-pair composition, we consider the problem of comparing the dynamics of functional time series (FTS), and of localizing any inferred differences ...

American Statistical Association2016

Unlocking efficiency and scalability of reversible logic synthesis using conventional logic synthesis

Mathias Soeken, Anupam Chattopadhyay

Latest quantum technologies promise realization of extremely large circuits, whereas, reversible logic synthesis, the key automation step for quantum computing suffers from scalability bottleneck. Sealability can be achieved with Decision Diagram (DD)-base ...

ACM/IEEE2016

Quantitative characterization of surface topography using spectral analysis

Till Junge

Roughness determines many functional properties of surfaces, such as adhesion, friction, and (thermal and electrical) contact conductance. Recent analytical models and simulations enable quantitative prediction of these properties from knowledge of the pow ...

2016

Sparse spectral approximations for computing polynomial functionals

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A Fourier-accelerated volume integral method for elastoplastic contact

Simulating background shear flow in local gyrokinetic simulations

Redshift-weighted constraints on primordial non-Gaussianity from the clustering of the eBOSS DR14 quasars in Fourier space

The Particle-In-Fourier (PIF) Approach Applied to Gyrokinetic Simulations

Modeling Creeping Flow through a Closed Crack with a Self-Affine Geometry and an Extension to Permeability of Cracked Media, Poromechanics VI

A Spectral Method for Generating Surrogate Graph Signals

A vector field method on the distorted Fourier side and decay for wave equations with potentials

Detecting and Localizing Differences in Functional Time Series Dynamics: A Case Study in Molecular Biophysics

Unlocking efficiency and scalability of reversible logic synthesis using conventional logic synthesis

Quantitative characterization of surface topography using spectral analysis

Detecting and Localizing Differences in Functional Time Series Dynamics: A Case Study in Molecular Biophysics

A Fourier-accelerated volume integral method for elastoplastic contact

A Spectral Method for Generating Surrogate Graph Signals

Simulating background shear flow in local gyrokinetic simulations

Unlocking efficiency and scalability of reversible logic synthesis using conventional logic synthesis

Quantitative characterization of surface topography using spectral analysis

A vector field method on the distorted Fourier side and decay for wave equations with potentials

The Particle-In-Fourier (PIF) Approach Applied to Gyrokinetic Simulations

Redshift-weighted constraints on primordial non-Gaussianity from the clustering of the eBOSS DR14 quasars in Fourier space

Modeling Creeping Flow through a Closed Crack with a Self-Affine Geometry and an Extension to Permeability of Cracked Media, Poromechanics VI