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The aim of this paper is to introduce a new Monte Carlo method based on importance sampling techniques for the simulation of stochastic differential equations. The main idea is to combine random walk on squares or rectangles methods with…

概率论 · 数学 2010-10-22 Madalina Deaconu , Antoine Lejay

In this paper, a finite volume lattice Boltzmann method (FVLBM) based on cell-center unstructured girds is presented and full studied to simulate the incompressible laminar flows, which is simple modified from the cell-vertex unstructured…

计算物理 · 物理学 2018-12-04 Yong Wang , Chengwen Zhong , Jun Cao , Congshan Zhuo

We present an ``equation-free'' multiscale approach to the simulation of unsteady diffusion in a random medium. The diffusivity of the medium is modeled as a random field with short correlation length, and the governing equations are cast…

数值分析 · 数学 2007-05-23 Dongbin Xiu , Ioannis Kevrekidis

We propose a novel approach to quasiparticle GW calculations which does not require the computation of unoccupied electronic states. In our approach the screened Coulomb interaction is evaluated by solving self-consistent linear-response…

材料科学 · 物理学 2015-05-14 Feliciano Giustino , Marvin L. Cohen , Steven G. Louie

Inference-time control of diffusion models aims to steer model outputs to satisfy new constraints without retraining. Previous approaches have mostly relied on heuristic guidance or have been coupled with Sequential Monte Carlo (SMC) for…

We propose a new discrete FFT-based method for computational homogenization of micromechanics on a regular grid that is simple, fast and robust. The discretization scheme is based on a tetrahedral stencil that displays three crucial…

数值分析 · 数学 2024-05-21 Alphonse Finel

Minimal Boltzmann kinetic models, such as lattice Boltzmann, are often used as an alternative to the discretization of the Navier-Stokes equations for hydrodynamic simulations. Recently, it was argued that modeling sub-grid scale phenomena…

We develop a nonlocal-response generalization to the Green-function surface-integral method (GSIM), also known as the boundary-element method (BEM). This numerically light method can accurately describe the linear hydrodynamic nonlocal…

介观与纳米尺度物理 · 物理学 2013-10-15 Wei Yan , N. Asger Mortensen , Martijn Wubs

In this paper, we propose a method for estimating radial distribution grid admittance matrix using a limited number of measurement devices. Neither synchronized three-phase measurements nor phasor measurements are required. After making…

系统与控制 · 计算机科学 2019-02-21 Xia Miao , Xiaofan Wu , Ulrich Munz , Marija Ilic

We propose the sparse modeling approach for quasiclassical theory of superconductivity, which reduces the computational cost of solving the gap equations. The recently proposed sparse modeling approach is based on the fact that the Green's…

超导电性 · 物理学 2023-03-01 Yuki Nagai , Hiroshi Shinaoka

We establish a general relation between the statistics of the local Green's function for systems with chaotic wave scattering and a uniform energy loss (absorption) and its two-point correlation function for the same system without…

介观与纳米尺度物理 · 物理学 2007-05-23 D. V. Savin , H. -J. Sommers , Y. V. Fyodorov

Elliptic problems along smooth surfaces embedded in three dimensions occur in thin-membrane mechanics, electromagnetics (harmonic vector fields), and computational geometry. In this work, we present a parametrix-based integral equation…

数值分析 · 数学 2025-03-19 Tristan Goodwill , Michael O'Neil

A diffusion Monte Carlo algorithm is introduced that can determine the correct nodal structure of the wave function of a few-fermion system and its ground-state energy without an uncontrolled bias. This is achieved by confining signed…

计算物理 · 物理学 2020-02-05 Alexander A. Kunitsa , So Hirata

A new fast multipole formulation for solving elliptic difference equations on unbounded domains and its parallel implementation are presented. These difference equations can arise directly in the description of physical systems, e.g.…

计算物理 · 物理学 2016-04-08 Sebastian Liska , Tim Colonius

We show that cluster algorithms for quantum models have a meaning independent of the basis chosen to construct them. Using this idea, we propose a new method for measuring with little effort a whole class of Green's functions, once a…

统计力学 · 物理学 2015-06-25 R. Brower , S. Chandrasekharan , U. -J. Wiese

We demonstrate an efficient nonequilibrium Green's function transport calculation procedure based on the real-space finite-difference method. The direct inversion of matrices for obtaining the self-energy terms of electrodes is…

材料科学 · 物理学 2024-01-09 Tomoya Ono , Yoshiyuki Egami , Kikuji Hirose

We describe a method and its implementation for calculating electronic structure and electron transport without approximating the structure using periodic super-cells. This effectively removes spurious periodic images and interference…

介观与纳米尺度物理 · 物理学 2019-11-27 Nick Papior , Gaetano Calogero , Susanne Leitherer , Mads Brandbyge

Modeling nanoscale devices quantum mechanically is a computationally challenging problem where new methods to solve the underlying equations are in a dire need. In this paper, we present an approach to calculate the charge density in…

数值分析 · 数学 2013-05-07 U. Hetmaniuk , Y. Zhao , M. P. Anantram

Time--distance inversions usually provide tomographic maps of the interesting plasma properties (we will focus on flows) at various depths. These maps however do not correspond directly to the flow field, but rather to the true flow field…

太阳与恒星天体物理 · 物理学 2017-04-12 M. Svanda , M. Kozon

We present a novel, generally applicable Monte Carlo algorithm for the simulation of fluid systems. Geometric transformations are used to identify clusters of particles in such a manner that every cluster move is accepted, irrespective of…

统计力学 · 物理学 2016-08-31 Jiwen Liu , Erik Luijten