Abstract. In earlier work, we developed a Monte Carlo method to compute the principal eigenvalue of linear operators, which was based on the simulation of exit times. In this paper, we general-ize this approach by showing how to use a branching method to improve the efficacy of simulating large exit times for the purpose of computing eigenvalues. Furthermore, we show that this new method provides a natural estimation of the first eigenfunction of the adjoint operator. Numerical examples of this method are given for the Laplace operator and an homogeneous neutron transport operator. 1
International audienceSeveral technological issues, such as reactor start-up analysis or kinetics st...
La construction de methodes discrètes d'approximation de l'équation de rendu a été largement étudiée...
Modal expansions based on k-eigenvalues and α-eigenvalues are commonly used in order to investigate ...
International audienceIn earlier works, we have developed a Monte Carlo method to compute the first ...
Computing the first eigenelements of some linear operators using a branching Monte Carlo metho
This paper discusses about the possibility of the adjoint eigenmode calculation for the Monte Carlo ...
International audienceTime or $\alpha$ eigenvalues are key to several applications in reactor physic...
We give a stochastic representation of the principal eigenvalue of some homogeneous neutron transpor...
We have developed a Monte Carlo method that calculates multiple perturbation effects in the eigenval...
Monte Carlo criticality analyses aimed at determining reactor parameters have been historically base...
The phenomenon of eigenvalue avoidance is of growing interest in applications ranging from quantum m...
International audienceThe so-called Iterated Fission Probability (IFP) method has provided a major b...
International audienceThe simulation of the neutron transport inside a nuclear reactor leads to the ...
The instability problem of the modified power method was studied. The modified power iteration metho...
The study of the steady-state solutions of neutron transport equation requires the introduction of a...
International audienceSeveral technological issues, such as reactor start-up analysis or kinetics st...
La construction de methodes discrètes d'approximation de l'équation de rendu a été largement étudiée...
Modal expansions based on k-eigenvalues and α-eigenvalues are commonly used in order to investigate ...
International audienceIn earlier works, we have developed a Monte Carlo method to compute the first ...
Computing the first eigenelements of some linear operators using a branching Monte Carlo metho
This paper discusses about the possibility of the adjoint eigenmode calculation for the Monte Carlo ...
International audienceTime or $\alpha$ eigenvalues are key to several applications in reactor physic...
We give a stochastic representation of the principal eigenvalue of some homogeneous neutron transpor...
We have developed a Monte Carlo method that calculates multiple perturbation effects in the eigenval...
Monte Carlo criticality analyses aimed at determining reactor parameters have been historically base...
The phenomenon of eigenvalue avoidance is of growing interest in applications ranging from quantum m...
International audienceThe so-called Iterated Fission Probability (IFP) method has provided a major b...
International audienceThe simulation of the neutron transport inside a nuclear reactor leads to the ...
The instability problem of the modified power method was studied. The modified power iteration metho...
The study of the steady-state solutions of neutron transport equation requires the introduction of a...
International audienceSeveral technological issues, such as reactor start-up analysis or kinetics st...
La construction de methodes discrètes d'approximation de l'équation de rendu a été largement étudiée...
Modal expansions based on k-eigenvalues and α-eigenvalues are commonly used in order to investigate ...
Add to ORKG