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2018极限科学研讨会（Workshop on Science at Extreme Scales: Where Big Data Meets Large-Scale Computing Tutorials）
2018 极限科学 研讨会
2017/12/20
The program opens with four days of tutorials that will provide an introduction to major themes of the entire program and the four workshops. The goal is to build a foundation for the participants of...
Positive Solutions of Semipositone BVPs for Differential Systems on Time Scales
Positive solution Semipositone boundary value problem Differential systems Time scales
2011/10/12
The paper is concerned with the semipositone Sturm-Liouville-like boundary value problems of second-order differential systems on time scales with two parameters. Applying a fixed point theorem in con...
Fractional Derivatives and Integrals on Time Scales via the Inverse Generalized Laplace Transform
fractional derivatives and integrals time scales Laplace transform
2011/1/19
We introduce a fractional calculus on time scales using the theory of delta (or nabla)dynamic equations. The basic notions of fractional order integral and fractional order derivative on an arbitrary ...
A hierarchy of length scales for solutions of the three-dimensional Navier-Stokes equations
hierarchy of length scales for solutions three-dimensional Navier-Stokes equations
2010/12/28
Moments of the vorticity are used to define and estimate a hierarchy of time-averaged inverse length scales λ−1 m for the three-dimensional Navier-Stokes equations on a periodic
box [0, L]3.
A new periodicity concept for time scales
Periodic time scale periodic function shift operator
2011/1/20
By means of the shift operators we introduce a new periodicity concept on time scales. This new approach will enable researchers to investigate periodicity notion on a large class of time scales whose...
New integral inequality on time scales
Integral Inequalities Dynamic Equation and Inequalities
2010/9/25
In this paper we establish some new integral inequalities related to a certain inequality arising in the theory of dynamic equations on time scales.
Time scales in large systems of Brownian particles with stochastic synchronization
\Time scales large systems of Brownian particles stochastic synchronization
2011/1/21
We consider a system x(t) = (x1(t), . . . , xN(t)) consisting of N Brownian parti-cles with synchronizing interaction between them occurring at random time moments { n}1 n=1. Under assumption that the...
On the superimposition of heterogeneous traffic at large time scales
heterogeneous traffic scales
2010/11/24
Various empirical and theoretical studies indicate that cumulative network traffic is a Gaussian process. However, depending on whether the intensity at which sessions are initiated is large or small ...
Many Roads to Synchrony: Natural Time Scales and Their Algorithms
Chaotic Dynamics (nlin.CD) Formal Languages and Automata Theory (cs.FL) Information Theory (cs.IT) Dynamical Systems (math.DS)
2010/11/10
We survey the variety of ways in which one synchronizes to a stochastic process. We define associated length scales, providing characterization theorems and efficient algorithms for their calculation....
Localized bases for finite dimensional homogenization approximations with non-separated scales and high-contrast
finite dimensional homogenization non-separated scales and high-contrast
2010/11/9
We construct finite-dimensional approximations of solution spaces of divergence form operators with $L^\infty$-coefficients. Our method does not rely on concepts of ergodicity or scale-separation, but...
Separation of time-scales and model reduction for stochastic reaction networks
Separation time-scales stochastic reaction networks
2010/11/12
A stochastic model for a chemical reaction network is embedded in a one-parameter family of models with species numbers and rate constants scaled by powers of the parameter. A systematic approach is ...
In this paper, we extend the study of local scales of a function [JL09] to studying local scales on curves and surfaces. In the case of a function f, the local scales of f at x is computed by measurin...
Implicit iteration methods in Hilbert scales under general smoothness conditions
Ill-posed problems inverse problems regularization Hilbert scales
2010/12/9
For solving linear ill-posed problems regularization methods are required when the right hand side is with some noise. In the present paper regularized solutions are obtained by implicit iteration met...
Inexact Newton regularization methods in Hilbert scales
Inexact Newton regularization methods Hilbert scales
2010/12/9
We consider a class of inexact Newton regularization methods for solving nonlinear inverse problems in Hilbert scales. Under certain conditions we obtain the order optimal convergence rate result.
Triple positive solutions of four-point singular boundary value problems for p-Laplacian dynamic equations on time scales
Time scales Four-point singular boundary value problems
2010/9/15
Let T be a time scale. We study the existence of three positive solutions for the nonlinear four-point singular boundary value problem with p-Laplacian operator on time scales. Some new results are ob...