Concept

Helmholtz equation

Related publications (76)

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The bounded confidence model of opinion dynamics, introduced by Deffuant et al, is a stochastic model for the evolution of continuous-valued opinions within a finite group of peers. We prove that, as time goes to infinity, the opinions evolve globally into ...

2010

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We study the wave functions of exciton polaritons trapped in the elliptical traps of a patterned microcavity. A homodyne detection setup with numerical off-axis filtering allows us to retrieve the amplitude and the phase of the wave functions. Doublet stat ...

2010

A linear equation for Minkowski sums of polytopes relatively in general position

Christophe Weibel

The objective of this paper is to study a special family of Minkowski sums, that is of polytopes relatively in general position. We show that the maximum number of faces in the sum can be attained by this family. We present a new linear equation that is sa ...

2010

Term Structure Models Driven by Wiener Process and Poisson Measures: Existence and Positivity

Damir Filipovic

In the spirit of Bjork-DiMasi-Kabanov-Runggaldier, we investigate term structure models driven by Wiener process and Poisson measures with forward curve dependent volatilities. This includes a full existence and uniqueness proof for the corresponding Heath ...

2010

A multiresolution space-time adaptive scheme for the bidomain model in electrocardiology

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Wiley-Blackwell2010

Asymptotics and analytic modes for the wave equation in similarity coordinates

Roland Donninger

We consider the radial wave equation in similarity coordinates within the semigroup formalism. It is known that the generator of the semigroup exhibits a continuum of eigenvalues and embedded in this continuum there exists a discrete set of eigenvalues wit ...

Springer Verlag2009

Operator-like wavelets with application to functional magnetic resonance imaging

Ildar Khalidov

We introduce a new class of wavelets that behave like a given differential operator L. Our construction is inspired by the derivative-like behavior of classical wavelets. Within our framework, the wavelet coefficients of a signal y are the samples of a smo ...

EPFL2009

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The creep of a dislocation on its glide plane is essentially controlled by three different stress fields: the external applied stress, the internal stress field due to a multi-scale hierarchy of different obstacles (the structural defects acting on the dis ...

2009

Rapid Fourier space solution of linear partial differential equations in toroidal magnetic confinement geometries

Laurent Villard, Trach-Minh Tran, Alberto Bottino, Sébastien Jolliet, Ben McMillan, Paolo Angelino

Fluctuating quantities in magnetic confinement geometries often inherit a strong anisotropy along the field lines. One technique for describing these structures is the use of a certain set of Fourier components on the tori of nested flux surfaces. We descr ...

Elsevier2009

On the naturality of the exterior differential

Marc Troyanov

We give sufficient conditions for the naturallity of the exterior differential under Sobolev mappings. In other words we study the validity of the equation

d\, f^* \alpha = f^*\; d\alpha

for a smooth form

\alpha

and a Sobolev map

f

. ...

2008

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On the naturality of the exterior differential

Marc Troyanov

We give sufficient conditions for the naturallity of the exterior differential under Sobolev mappings. In other words we study the validity of the equation

d\, f^* \alpha = f^*\; d\alpha

for a smooth form

\alpha

and a Sobolev map

f

. ...

2008