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In a previous paper a method was developed to subtract the interactions due to periodically replicated charges (or other long-range entities) in one spatial dimension. The method constitutes a generalized "electrostatic layer correction"…

Materials Science · Physics 2009-11-07 Jason de Joannis , Axel Arnold , Christian Holm

In recent contributions, algebraic multigrid methods have been designed and studied from the viewpoint of the spectral complementarity. In this note we focus our efforts on specific applications and, more precisely, on large linear systems…

Numerical Analysis · Mathematics 2012-11-03 S. Serra-Capizzano , C. Tablino Possio

In this paper we propose a new numerical method for solving stochastic differential equations (SDEs). As an application of this method we propose an explicit numerical scheme for a super linear SDE for which the usual Euler scheme diverges.

Numerical Analysis · Mathematics 2013-03-14 Nikolaos Halidias

We propose V--cycle multigrid methods for vector field problems arising from the lowest order hexahedral N\'{e}d\'{e}lec finite element. Since the conventional scalar smoothing techniques do not work well for the problems, a new type of…

Numerical Analysis · Mathematics 2022-05-13 Duk-Soon Oh

The aim of this paper is to propose a least mean squares (LMS) strategy for adaptive estimation of signals defined over graphs. Assuming the graph signal to be band-limited, over a known bandwidth, the method enables reconstruction, with…

Machine Learning · Computer Science 2016-11-17 Paolo Di Lorenzo , Sergio Barbarossa , Paolo Banelli , Stefania Sardellitti

I present a few new and recent ideas of the multiloop calculations.

High Energy Physics - Phenomenology · Physics 2014-05-23 Roman N. Lee

We establish that the Weak Galerkin methods are rewritings of the hybridizable discontinuous Galerkin methods.

Numerical Analysis · Mathematics 2018-12-20 Bernardo Cockburn

We review some recent methods of subgrid-scale parameterization used in the context of climate modeling. These methods are developed to take into account (subgrid) processes playing an important role in the correct representation of the…

Statistical Mechanics · Physics 2017-01-18 Jonathan Demaeyer , Stéphane Vannitsem

We propose a three-dimensional discrete and incremental scale to encode a method's level of supervision - i.e. the data and labels used when training a model to achieve a given performance. We capture three aspects of supervision, that are…

Computer Vision and Pattern Recognition · Computer Science 2020-08-25 Dima Damen , Michael Wray

Current design constraints have encouraged the studies of aeroacoustics fields around compressible jet flows. The present work addresses the numerical study of subgrid scale modeling for unsteady turbulent jet flows as a preliminary step…

Fluid Dynamics · Physics 2023-01-03 Carlos Junqueira-Junior , Sami Yamouni , Joao Luiz F. Azevedo , William Wolf

This brief note gives a survey on results relating to existence of closed points on schemes, including an elementary topological characterization of the schemes with (at least one) closed point.

Algebraic Geometry · Mathematics 2017-08-23 Justin Chen

In this paper we present a locally and dimension-adaptive sparse grid method for interpolation and integration of high-dimensional functions with discontinuities. The proposed algorithm combines the strengths of the generalised sparse grid…

Numerical Analysis · Mathematics 2011-10-04 John D. Jakeman , Stephen G. Roberts

A preliminary result on Subhomogeneous Cooperative Time-delay Systems, subject to revision.

Dynamical Systems · Mathematics 2019-02-26 Vahid Bokharaie , Oliver Mason

For helical isotropic turbulence, an improved two-term helical subgrid-scale (SGS) model is proposed and four types of dynamic methods are given to do large-eddy simulation (LES), which include the standard dynamic procedure, the least…

Fluid Dynamics · Physics 2014-08-13 changping Yu

We present a semi-numerical method to compute one-loop corrections to multi-leg processes. We apply the method to the study of Higgs plus four parton and six gluon amplitudes.

High Energy Physics - Phenomenology · Physics 2007-05-23 G. Zanderighi

We present the two-dimensional unstructured grids extension of the a posteriori local subcell correction of discontinuous Galerkin (DG) schemes introduced in [52]. The technique is based on the reformulation of DG scheme as a finite volume…

Numerical Analysis · Mathematics 2022-12-23 François Vilar , Rémi Abgrall

The paper deals with analysis and design of sliding mode control systems modeled by finite-dimensional integro-differential equations. Filippov method and equivalent control approach are extended to a class of nonlinear discontinuous…

Optimization and Control · Mathematics 2026-03-24 Andrey Polyakov

We propose a certainty-equivalence scheme for adaptive control of scalar linear systems subject to additive, i.i.d. Gaussian disturbances and bounded control input constraints, without requiring prior knowledge of the bounds of the system…

Systems and Control · Electrical Eng. & Systems 2023-03-20 Seth Siriya , Jingge Zhu , Dragan Nešić , Ye Pu

Presented is a new method yielding parameterized solution to an interval parametric linear system. Some properties of this method are discussed. The solution enclosure it provides is compared to the enclosures by other methods. It is shown…

Numerical Analysis · Mathematics 2020-05-15 Evgenija D. Popova

In this paper, we develop a class of robust numerical methods for solving dynamical systems with multiple time scales. We first represent the solution of a multiscale dynamical system as a transformation of a slowly varying solution. Then,…

Numerical Analysis · Mathematics 2019-09-11 Thomas Y. Hou , Zhongjian Wang , Zhiwen Zhang