We consider the multidimensional generalised stochastic Burgers equation in the space-periodic setting: $ \partial \mathbf{u}/\partial t+$ $(\nabla…

This paper presents two algorithms for calculating an ensemble of solutions to laminar natural convection problems. The ensemble average is the most …

Low-rank matrix approximations, such as the truncated singular value decomposition and the rank-revealing QR decomposition, play a central role in da…

Inexact alternating direction multiplier methods (ADMMs) are developed for solving general separable convex optimization problems with a linear const…

Local iterated function systems are an important generalisation of the standard (global) iterated function systems (IFSs). For a particular class of …

We study array imaging of a sparse scene of point-like sources or scatterers in a homogeneous medium. For source imaging the sensors in the array are…

We initiate the study of efficient mechanism design with guaranteed good properties even when players participate in multiple different mechanisms si…

This paper presents the full dynamics and control of arbitrary number of quadrotor unmanned aerial vehicles (UAV) transporting a rigid body. The rigi…

An asymptotic analysis of wave propagation in randomly perturbed waveguides is carried out in order to identify the effective Markovian dynamics of t…

Heterogeneity is often natural in many contemporary applications involving massive data. While posing new challenges to effective learning, it can pl…

A general framework is developed to investigate the properties of useful choices of stationary spacelike slicings of stationary spacetimes whose cong…

We consider an intermediary's problem of dynamically matching demand and supply of heterogeneous types in a periodic-review fashion. More specificall…

The present issue of the series <<Modern Problems in Mathematical Physics>> represents the Proceedings of the Students Training Contest Olympiad in M…

We present the basic concepts and our recent developments in the density functional approaches with the Skyrme functionals for describing nuclear dyn…

This article provides a Wilsonian description of the perturbatively renormalizable Tensorial Group Field Theory introduced in arXiv:1303.6772 [hep-th…

We establish error bounds of the Lie-Trotter splitting ($S_1$) and Strang splitting ($S_2$) for the Dirac equation in the nonrelativistic limit regim…

In this paper, we show how the problem of designing optimal $H_\infty$ state-feedback controllers for distributed-parameter systems can be formulated…

This essay aims to summarize the main physical features arising from a new supersymmetric theory of gravitation. Based on preliminary discussions abo…

Biased stochastic estimators, such as finite-differences for noisy gradient estimation, often contain parameters that need to be properly chosen to b…

The time-dependent displacement or motion y(t,x) of an isentropic elastic material in one space dimension satisfies the second-order nonlinear equation

We develop a framework in which to make sense of solutions containing the vacuum in Lagrangian gas dynamics. At and near vacuum, the specific volume …

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