Concept

Series expansion

Related publications (41)

Radial expansion for spinning conformal blocks

This paper develops a method to compute any bosonic conformal block as a series expansion in the optimal radial coordinate introduced by Hogervorst and Rychkov. The method reduces to the known result when the external operators are all the same scalar oper ...

Springer2016

A posteriori error estimation for partial differential equations with random input data

Diane Sylvie Guignard

This thesis is devoted to the derivation of error estimates for partial differential equations with random input data, with a focus on a posteriori error estimates which are the basis for adaptive strategies. Such procedures aim at obtaining an approximati ...

EPFL2016

The Bethe Free Energy Allows to Compute the Conditional Entropy of Graphical Code Instances: A Proof From the Polymer Expansion

Nicolas Macris, Marc Vuffray

The main objective of this paper is to explore the precise relationship between the Bethe free energy (or entropy) and the Shannon conditional entropy of graphical error correcting codes. The main result shows that the Bethe free energy associated with a l ...

Ieee-Inst Electrical Electronics Engineers Inc2016

Anisotropic Gaussian Mutations for Metropolis Light Transport Through Hessian-Hamiltonian Dynamics

Wenzel Alban Jakob

The simulation of light transport in the presence of multi-bounce glossy effects and motion is challenging because the integrand is high dimensional and areas of high-contribution tend to be narrow and hard to sample. We present a Markov Chain Monte Carlo ...

ACM2015

Liouville's theorem and Laurent Series Expansions for Solutions of the Heat Equation

Aparajita Dasgupta

We give a Liouville theorem for entire solutions and Laurent series expansions for solutions with isolated singularities of the heat equation. ...

Springer Basel Ag2014

Aggressively Truncated Taylor Series Method For Accurate Computation Of Exponentials Of Essentially Nonnegative Matrices

Meiyue Shao

Small relative perturbations to the entries of an essentially nonnegative matrix introduce small relative errors to entries of its exponential. It is thus desirable to compute the exponential with high componentwise relative accuracy. Taylor series approxi ...

Siam Publications2014

Method to analyse the contribution of material's sensitivity in buildings' environmental impact

Guillaume Habert, Endrit Hoxha

The assessment of environmental performances of building is now commonly based on a life cycle approach. The current studies comparing such performances highlight the problems related to uncertainties in the Life Cycle Assessment (LCA) results. The aim of ...

2014

Perturbation analysis for the Darcy problem with log-normal permeability

Fabio Nobile, Francesca Bonizzoni

We study the single-phase flow in a saturated, bounded heterogeneous porous medium. We model the permeability as a log-normal random field. We perform a perturbation analysis, expanding the solution in Taylor series. The series is directly computable in th ...

2014

On the development of a dynamic non-linear closure for large-eddy simulation of the atmospheric boundary layer

Fernando Porté Agel, Hao Lu

A dynamic procedure is developed to compute the model coefficients in the recently introduced modulated gradient models for both momentum and scalar fluxes. The magnitudes of the subgrid-scale (SGS) stress and the SGS flux are estimated using the local equ ...

2014

On the Development of a Dynamic Non-linear Closure for Large-Eddy Simulation of the Atmospheric Boundary Layer

Fernando Porté Agel, Hao Lu

Springer2014

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