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We propose a novel multivariate Monte Carlo method as an efficient and flexible approach to analyzing extended X-ray sources with the Reflection Grating Spectrometer (RGS) on XMM Newton. A multi-dimensional interpolation method is used to…

Astrophysics · Physics 2009-11-10 J. R. Peterson , J. G. Jernigan , S. M. Kahn

We present an efficient procedure for computing resonances and resonant modes of Helmholtz problems posed in exterior domains. The problem is formulated as a nonlinear eigenvalue problem (NEP), where the nonlinearity arises from the use of…

Numerical Analysis · Mathematics 2016-07-01 Juan Carlos Araujo-Cabarcas , Christian Engstrom , Elias Jarlebring

We introduce a system of parameters for the Monte Carlo generation of Lorentz invariant phase space that is particularly well-suited to the treatment of the infrared divergences that occur in the most singular, Born-like configurations of…

High Energy Physics - Phenomenology · Physics 2018-12-19 Peter Cox , Tom Melia

Nuclear many-body calculations are computationally demanding. An estimate of their accuracy is often hampered by the limited amount of computational resources even on present-day supercomputers. We provide an extrapolation method based on…

Nuclear Theory · Physics 2009-11-10 H. Zhan , A. Nogga , B. R. Barrett , J. P. Vary , P. Navratil

In regimes of low signal strengths and therefore a small signal-to-noise ratio, standard data analysis methods often fail to accurately estimate system properties. We present a method based on Monte Carlo simulations to effectively restore…

The role of dynamics in spin observables for pseudoscalar meson photoproduction is investigated using a density matrix approach in a multipole truncated framework. Extraction of novel rules for $\gamma p \rightarrow \pi^+ n,~ K^+ \Lambda$…

Nuclear Theory · Physics 2016-09-08 Bijan Saghai , Frank Tabakin

We introduce a new class of Monte Carlo based approximations of expectations of random variables such that their laws are only available via certain discretizations. Sampling from the discretized versions of these laws can typically…

Computation · Statistics 2017-10-17 Dan Crisan , Pierre Del Moral , Jeremie Houssineau , Ajay Jasra

A new method based on nesting Monte Carlo is developed to solve high-dimensional semi-linear PDEs. Convergence of the method is proved and its convergence rate studied. Results in high dimension for different kind of non-linearities show…

Probability · Mathematics 2018-05-15 Xavier Warin

The amplitudes for photoproduction of two pseudoscalars on a nucleon are expanded in the overall c.m. frame in a model independent way with respect to the contribution of the final state partial wave of total angular momentum $J$ and its…

Nuclear Theory · Physics 2015-06-03 A. Fix , H. Arenh"ovel

We establish a deterministic and stochastic spherical quasi-interpolation framework featuring scaled zonal kernels derived from radial basis functions on the ambient Euclidean space. The method incorporates both quasi-Monte Carlo and Monte…

Numerical Analysis · Mathematics 2025-10-15 Zhengjie Sun , Mengyuan Lv , Xingping Sun

We consider the outstanding problem of sampling from an unnormalized density that may be non-log-concave and multimodal. To enhance the performance of simple Markov chain Monte Carlo (MCMC) methods, techniques of annealing type have been…

Machine Learning · Statistics 2025-02-18 Wei Guo , Molei Tao , Yongxin Chen

The multiple scale expansion method is used to derive amplitude equations for a system with thermohaline convection in the neighborhood of Hopf and Taylor bifurcation points and at the double zero point of the dispersion relation. A complex…

Fluid Dynamics · Physics 2015-05-13 S. B. Kozitskiy

We propose a new variational Monte Carlo (VMC) method with an energy variance extrapolation for large-scale shell-model calculations. This variational Monte Carlo is a stochastic optimization method with a projected correlated condensed…

Nuclear Theory · Physics 2012-02-14 Takahiro Mizusaki , Noritaka Shimizu

In a multi-electrode device, the motion of free charge carriers generated by ionizing radiation induces currents on all the electrodes surrounding the active region [1]. The amount of charge induced in each sensitive electrode is a function…

Materials Science · Physics 2014-03-14 Jacopo Forneris , David Jamieson , Gabriele Giacomini , Changyi Yang , Ettore Vittone

We propose a novel modular debiasing technique applicable to any discrete random source, addressing the fundamental challenge of reliably extracting high-quality randomness from inherently imperfect physical processes. The method involves…

Data Analysis, Statistics and Probability · Physics 2025-05-12 Eduardo Gueron

In many real-world engineering systems, the performance or reliability of the system is characterised by a scalar parameter. The distribution of this performance parameter is important in many uncertainty quantification problems, ranging…

Methodology · Statistics 2022-10-03 Robert Millar , Jinglai Li , Hui Li

A method for estimating the Shannon differential entropy of multidimensional random variables using independent samples is described. The method is based on decomposing the distribution into a product of the marginal distributions and the…

Statistical Mechanics · Physics 2020-04-22 Gil Ariel , Yoram Louzoun

The process of exclusive elastic vector meson production in deep inelastic scattering is investigated within the dipole model framework supplemented by the small $x$ evolution. The dipole-proton amplitude is obtained from the nonlinear…

High Energy Physics - Phenomenology · Physics 2015-06-05 Jeffrey Berger , Anna M. Stasto

We describe in detail the method for Particle-in cell/Monte-Carlo simulation of electron cyclotron resonance (ECR) discharges. In the simulation, electric and magnetic fields are obtained by solving Maxwell equations, and electrons and ions…

Plasma Physics · Physics 2007-05-23 M. Ardehali

A particular instance of the inverse magnetisation problem is considered. It is assumed that the support of a magnetic sample (a source term in the Poisson equation in $\mathbb{R}^3$) is contained in a bounded planar set parallel to the…

Analysis of PDEs · Mathematics 2024-11-15 Dmitry Ponomarev
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