Publications related to A generalized Fourier-based method for the analysis of 2D moire envelope-forms in screen superpositions

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

Mixture Models for the Analysis, Edition, and Synthesis of Continuous Time Series

Sylvain Calinon

This chapter presents an overview of techniques used for the analysis, edition, and synthesis of time series, with a particular emphasis on motion data. The use of mixture models allows the decomposition of time signals as a superposition of basis function ...

Springer2019

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

MATHICSE Technical Report : Function integration, reconstruction and approximation using rank-1 lattices

Fabio Nobile, Giovanni Migliorati

We consider rank-1 lattices for integration and reconstruction of functions with series expansion supported on a finite index set. We explore the connection between the periodic Fourier space and the non-periodic cosine space and Chebyshev space, via tent ...

MATHICSE2019

Stable Manifold for the Critical Non-Linear Wave Equation: A Fourier Theory Approach

Gérôme Graf

I will try to explain, without going into too much detail, how one can consider a non-linear wave equation as a dynamical system and what it brings to the study of its solutions. We begin by considering our model case, the non-linear Klein-Gordon equation ...

EPFL2019

An Adaptive Sublinear-Time Block Sparse Fourier Transform

Volkan Cevher, Mikhail Kapralov, Jonathan Mark Scarlett, Amir Zandieh

The problem of approximately computing the

k

dominant Fourier coefficients of a vector

X

quickly, and using few samples in time domain, is known as the Sparse Fourier Transform (sparse FFT) problem. A long line of work on the sparse FFT has resulted in ...

2017

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

Large Sieve Inequalities for Algebraic Trace Functions

Philippe Michel, Ping Xi

The large sieve inequalities for algebraic trace functions are considered in this article. A fundamental iterative relation is established by classical Fourier analysis, and l-adic Fourier analysis and multiplicative convolutions of sheaves are also requir ...

Oxford Univ Press2017

Predicting the Success of Online Petitions Leveraging Multidimensional Time-Series

Karl Aberer, Philippe Cudré-Mauroux, Julia Proskurnia, Carlos Castillo

Applying classical time-series analysis techniques to online content is challenging, as web data tends to have data quality issues and is often incomplete, noisy, or poorly aligned. In this paper, we tackle the problem of predicting the evolution of a time ...

Undecidability through Fourier series

In computability theory a variety of combinatorial systems are encountered (word problems, production systems) that exhibit undecidability properties. Here we seek such structures in the realm of Analysis, more specifically in the area of Fourier Analysis. ...

Elsevier Science Bv2016

A generalized Fourier-based method for the analysis of 2D moire envelope-forms in screen superpositions

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A Fourier-accelerated volume integral method for elastoplastic contact

Mixture Models for the Analysis, Edition, and Synthesis of Continuous Time Series

Simulating background shear flow in local gyrokinetic simulations

MATHICSE Technical Report : Function integration, reconstruction and approximation using rank-1 lattices

Stable Manifold for the Critical Non-Linear Wave Equation: A Fourier Theory Approach

An Adaptive Sublinear-Time Block Sparse Fourier Transform

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

Large Sieve Inequalities for Algebraic Trace Functions

Predicting the Success of Online Petitions Leveraging Multidimensional Time-Series

Undecidability through Fourier series

A Fourier-accelerated volume integral method for elastoplastic contact

Large Sieve Inequalities for Algebraic Trace Functions

Undecidability through Fourier series

An Adaptive Sublinear-Time Block Sparse Fourier Transform

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

Mixture Models for the Analysis, Edition, and Synthesis of Continuous Time Series

Simulating background shear flow in local gyrokinetic simulations

Stable Manifold for the Critical Non-Linear Wave Equation: A Fourier Theory Approach

MATHICSE Technical Report : Function integration, reconstruction and approximation using rank-1 lattices

Predicting the Success of Online Petitions Leveraging Multidimensional Time-Series