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

Interaction between the Lower Hybrid wave and density fluctuations in the scrape-off layer

In the present paper, the perturbation of the launched power spectrum of the Lower Hybrid wave at the separatrix by electron density fluctuations in the scrape-off layer is investigated. Considering a slab geometry with magnetic field lines parallel to the ...

Amer Inst Physics2015

Exotic blow up solutions for the $\Box u^5$-focussing wave equation in $\mathbb{R}^3$

Joachim Krieger, Roland Donninger, Min Huang

For the critical focusing wave equation

\Box u = u^5

on

\mathbb{R}^{3+1}

in the radial case, we construct a family of blowup solutions which are obtained from the stationary solutions

W(r)

by means of a dynamical rescaling $\lambda(t)\frac{1}{2}W(\la ...

Michigan Mathematical Journal2014

Method and system for computing Fourier series coefficients for mask layouts using FFT

Paul Hurley, Robin Scheibler, Krzysztof Kryszczuk

A method and system for computing Fourier coefficients for a Fourier representation of a mask transmission function for a lithography mask. The method includes: sampling a polygon of a mask pattern of the lithography mask to obtain an indicator function wh ...

United States Patent and Trademark Office2013

Approximate Cloaking for the Full Wave Equation via Change of Variables

Hoài-Minh Nguyên

We study, in the context of the full wave equation, an approximate cloaking scheme that was previously considered for the Helmholtz equation [R. V. Kohn, D. Onofrei, M. S. Vogelius, and M. I. Weinstein, Comm. Pure Appl. Math., 63 (2010), pp. 973--1016, H.- ...

Society for Industrial and Applied Mathematics2012

Computing exact Fourier series coefficients of IC rectilinear polygons from low-resolution fast Fourier coefficients

Paul Hurley, Robin Scheibler

We present a novel, accurate and fast algorithm to obtain Fourier series coecients from an IC layer whose description consists of rectilinear polygons on a plane, and how to implement it using o-the-shelf hardware components. Based on properties of Fourier ...

2012

Parallel filtering in global gyrokinetic simulations

Laurent Villard, Stephan Brunner, Trach-Minh Tran, Alberto Bottino, Sébastien Jolliet, Ben McMillan, Paolo Angelino, Thibaut Vernay

In this work, a Fourier solver [B.F. McMillan, S. Jolliet, A. Bottino, P. Angelino, T.M. Tran, L Villard, Comp. Phys. Commun. 181 (2010) 7151 is implemented in the global Eulerian gyrokinetic code GT5D [Y. Idomura, H. Urano, N. Aiba, S. Tokuda, Nucl. Fusio ...

Elsevier2012

On-line frequency adaptation and movement imitation for rhythmic robotic tasks

Auke Ijspeert, Tadej Petric

In this paper we present a novel method to obtain the basic frequency of an unknown periodic signal with an arbitrary waveform, which can work online with no additional signal processing or logical operations. The method originates from non-linear dynamica ...

2011

Applications of short space-time Fourier analysis in digital acoustics

Martin Vetterli, Francisco Pereira Correia Pinto

This paper presents a signal processing tool for analyzing and manipulating digitized acoustic wave fields, based on a spatio-temporal extension of the time-frequency representation space. The emphasis is on wave fields acquired with a 1-D linear array of ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2011

Signal Processing in Space and Time

Francisco Pereira Correia Pinto

Sound waves propagate through space and time by transference of energy between the particles in the medium, which vibrate according to the oscillation patterns of the waves. These vibrations can be captured by a microphone and translated into a digital sig ...

EPFL2010

Decay Estimates for the One-dimensional Wave Equation with an Inverse Power Potential

Roland Donninger

We study the wave equation on the real line with a potential that falls off like vertical bar x vertical bar(-alpha) for vertical bar x vertical bar -> infinity where 2 < alpha infini ...

Oxford University Press2010

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

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Interaction between the Lower Hybrid wave and density fluctuations in the scrape-off layer

Exotic blow up solutions for the $\Box u^5$-focussing wave equation in $\mathbb{R}^3$

Method and system for computing Fourier series coefficients for mask layouts using FFT

Approximate Cloaking for the Full Wave Equation via Change of Variables

Computing exact Fourier series coefficients of IC rectilinear polygons from low-resolution fast Fourier coefficients

Parallel filtering in global gyrokinetic simulations

On-line frequency adaptation and movement imitation for rhythmic robotic tasks

Applications of short space-time Fourier analysis in digital acoustics

Signal Processing in Space and Time

Decay Estimates for the One-dimensional Wave Equation with an Inverse Power Potential

Interaction between the Lower Hybrid wave and density fluctuations in the scrape-off layer

Exotic blow up solutions for the $\Box u^5$-focussing wave equation in $\mathbb{R}^3$

On-line frequency adaptation and movement imitation for rhythmic robotic tasks

Method and system for computing Fourier series coefficients for mask layouts using FFT

Applications of short space-time Fourier analysis in digital acoustics

Approximate Cloaking for the Full Wave Equation via Change of Variables

Decay Estimates for the One-dimensional Wave Equation with an Inverse Power Potential

Parallel filtering in global gyrokinetic simulations

Computing exact Fourier series coefficients of IC rectilinear polygons from low-resolution fast Fourier coefficients

Signal Processing in Space and Time