Applied mathematics research express : AMRX最新文献_第4页

On Atomistic-to-Continuum Couplings without Ghost Forces in Three Dimensions 三维中无鬼力的原子-连续体耦合

Applied mathematics research express : AMRX Pub Date : 2012-11-30 DOI: 10.1093/AMRX/ABT005

C. Makridakis, D. Mitsoudis, P. Rosakis

引用次数: 20

Bifurcations of Asymmetric Vortices in Symmetric Harmonic Traps 对称谐波阱中不对称涡的分岔

Applied mathematics research express : AMRX Pub Date : 2012-10-11 DOI: 10.1093/AMRX/ABS016

D. Pelinovsky, P. Kevrekidis

引用次数: 6

Nonnegative Weak Solutions for a Degenerate System Modeling the Spreading of Surfactant on Thin Films 表面活性剂在薄膜上扩散的退化系统的非负弱解

Applied mathematics research express : AMRX Pub Date : 2012-09-08 DOI: 10.1093/AMRX/ABS014

M. Chugunova, R. Taranets

引用次数: 15

Asymptotic Behavior of Green Functions of Divergence form Operators with Periodic Coefficients 具有周期系数散度形式算子的Green函数的渐近性质

Applied mathematics research express : AMRX Pub Date : 2012-07-25 DOI: 10.1093/AMRX/ABS013

Xavier Blanc, F. Legoll, F. Legoll, Arnaud Anantharaman, Arnaud Anantharaman

引用次数: 17

Quantum Transport in Disordered Systems Under Magnetic Fields: A Study Based on Operator Algebras 磁场下无序系统中的量子输运:基于算子代数的研究

Applied mathematics research express : AMRX Pub Date : 2012-04-29 DOI: 10.1093/amrx/abs017

E. Prodan

引用次数: 41

Rational Construction of Stochastic Numerical Methods for Molecular Sampling 分子抽样随机数值方法的合理构造

Applied mathematics research express : AMRX Pub Date : 2012-03-24 DOI: 10.1093/amrx/abs010

B. Leimkuhler, Charles Matthews

{"title":"Rational Construction of Stochastic Numerical Methods for Molecular Sampling","authors":"B. Leimkuhler, Charles Matthews","doi":"10.1093/amrx/abs010","DOIUrl":"https://doi.org/10.1093/amrx/abs010","url":null,"abstract":"In this article, we focus on the sampling of the configurational Gibbs-Boltzmann distribution, that is, the calculation of averages of functions of the position coordinates of a molecular $N$-body system modelled at constant temperature. We show how a formal series expansion of the invariant measure of a Langevin dynamics numerical method can be obtained in a straightforward way using the Baker-Campbell-Hausdorff lemma. We then compare Langevin dynamics integrators in terms of their invariant distributions and demonstrate a superconvergence property (4th order accuracy where only 2nd order would be expected) of one method in the high friction limit; this method, moreover, can be reduced to a simple modification of the Euler-Maruyama method for Brownian dynamics involving a non-Markovian (coloured noise) random process. In the Brownian dynamics case, 2nd order accuracy of the invariant density is achieved. All methods considered are efficient for molecular applications (requiring one force evaluation per timestep) and of a simple form. In fully resolved (long run) molecular dynamics simulations, for our favoured method, we observe up to two orders of magnitude improvement in configurational sampling accuracy for given stepsize with no evident reduction in the size of the largest usable timestep compared to common alternative methods.","PeriodicalId":89656,"journal":{"name":"Applied mathematics research express : AMRX","volume":"12 1","pages":"34-56"},"PeriodicalIF":0.0,"publicationDate":"2012-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81967831","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 200

Exponential Rate of Convergence to Equilibrium for a Model Describing Fiber Lay-Down Processes 描述光纤铺设过程模型的指数收敛到平衡速率

Applied mathematics research express : AMRX Pub Date : 2012-01-10 DOI: 10.1093/amrx/abs015

J. Dolbeault, A. Klar, C. Mouhot, C. Schmeiser

引用次数: 47

Regularized Regression and Density Estimation based on Optimal Transport 基于最优运输的正则化回归与密度估计

Applied mathematics research express : AMRX Pub Date : 2012-01-01 DOI: 10.1093/AMRX/ABS007

M. Burger, Marzena Franek, C. Schönlieb

引用次数: 58

Asymptotic Analysis of Two Coupled Large Capacity Queues with Vastly Different Arrival Rates 到达率差异极大的两个耦合大容量队列的渐近分析

Applied mathematics research express : AMRX Pub Date : 2012-01-01 DOI: 10.1093/AMRX/ABR010

C. Knessl, J. Morrison

引用次数: 1

Wigner Measures and the Semi-Classical Limit to the Aubry-Mather Measure Wigner测度与Aubry-Mather测度的半经典极限

Applied mathematics research express : AMRX Pub Date : 2011-11-14 DOI: 10.1093/AMRX/ABR018

D. Gomes, A. Lopes, J. Mohr

{"title":"Wigner Measures and the Semi-Classical Limit to the Aubry-Mather Measure","authors":"D. Gomes, A. Lopes, J. Mohr","doi":"10.1093/AMRX/ABR018","DOIUrl":"https://doi.org/10.1093/AMRX/ABR018","url":null,"abstract":"In this paper we investigate the asymptotic behavior of the semi-classical limit of Wigner measures defined on the tangent bundle of the one-dimensional torus. In particular we show the convergence of Wigner measures to the Mather measure on the tangent bundle, for energy levels above the minimum of the effective Hamiltonian. The Wigner measures μh we consider are associated to ψh, a distinguished critical solution of the Evans’ quantum action given by ψh = ah e i uh h , with ah(x) = e v∗ h(x)−vh(x) 2h , uh(x) = P ·x+ v ∗ h(x)+vh(x) 2 , and vh, v ∗ h satisfying the equations − h∆vh 2 + 1 2 |P +Dvh | + V = Hh(P ), h∆v∗ h 2 + 1 2 |P +Dv∗ h | + V = Hh(P ), where the constant Hh(P ) is the h effective potential and x is on the torus. L. C. Evans considered limit measures |ψh| in T, when h→ 0, for any n ≥ 1. We consider the limit measures on the phase space T×R, for n = 1, and, in addition, we obtain rigorous asymptotic expansions for the functions vh, and v ∗ h, when h→ 0. (*) Partially supported by CAMGSD/IST through FCT Program POCTI FEDER and by grants PTDC/MAT/114397/2009, UTAustin/MAT/0057/2008, PTDC/EEA-ACR/67020/2006, PTDC/MAT/69635/2006, and PTDC/MAT/72840/2006, and by the bilateral agreement Brazil-Portugal (CAPES-FCT) 248/09. (**) Partially supported by CNPq, PRONEX – Sistemas Dinâmicos, INCT, and beneficiary of CAPES financial support. (***) Partially supported by a CNPq postdoc scholarship. 1 2 DIOGO A. GOMES (*), ARTUR O. LOPES (**), AND JOANA MOHR (***)","PeriodicalId":89656,"journal":{"name":"Applied mathematics research express : AMRX","volume":"176 1","pages":"152-183"},"PeriodicalIF":0.0,"publicationDate":"2011-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78264462","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 5