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Symmetry group analysis and an optimal system
Benjamin-Bona-Mahoney equation symmetry group optimal systerm reduction equation
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2011/10/17
In this paper，Smmetry group properties of Benjamin-Bona-Mahoney equation are analyzed.The symmetries and adjoint representations for this equation are given.Second,an optimal system of one-dimensional...
Uniform convergence analysis of an upwind finite difference approximations of an homogenous singularly perturbed boundary value problem using grid equidistribution
singular perturbation adaptive grid rate of convergence error estimate
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2011/10/13
We derive varepsilon-uniform error estimates for two first-order upwind discretizations of a model inhomogeneous, second-order, singularly perturbed boundary value problem on a non-uniform grid. Here,...
Convergence and Rate Analysis of Neural Networks for Sparse Approximation
Locally Competitive Algorithm sparse approximation global stability exponential convergence non-smooth objective
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2011/9/23
Abstract: We present an analysis of the Locally Competitive Algorithm (LCA), a Hopfield-style neural network that solves sparse approximation problems (e.g., approximating a vector from a dictionary u...
Convergence Analysis of Meshfree Approximation Schemes
Meshfree Approximation Schemes Numerical Analysis
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2011/9/29
Abstract: This work is concerned with the formulation of a general framework for the analysis of meshfree approximation schemes and with the convergence analysis of the Local Maximum-Entropy (LME) sch...
Fluid accumulation in thin-film flows driven by surface tension and gravity (I): Rigorous analysis of a drainage equation
Fluid accumulation surface tension and gravity drainage equation
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2011/9/23
Abstract: We derive a boundary layer equation describing accumulation regions within a thin-film approximation framework where gravity and surface tension balance. As part of the analysis of this prob...
Analysis of a mathematical model of syntrophic bacteria in a chemostat
Syntrophic relationship Mathematical modelling Coexistence Asymptotic stability Anaerobic digestion
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2011/9/23
Abstract: A mathematical model involving a syntrophic relationship between two populations of bacteria in a continuous culture is proposed. A detailed qualitative analysis is carried out. The local an...
Analysis of the Leray-α model with Navier slip boundary condition
turbulence model existence weak solution
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2011/9/22
Abstract: In this paper, we establish the existence and the regularity of a unique weak solution to turbulent flows in a bounded domain ${\Omega}\subset \mathbb R^3$ governed by the so-called Leray-{\...
Structural Analysis of Laplacian Spectral Properties with Application to Electric Transmission Networks
Laplacian Spectral Properties Electric Transmission Networks Optimization and Control
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2011/9/22
Abstract: The spectrum of the Laplacian matrix of a network plays a key role in a wide range of dynamical problems associated with the network, from transient stability analysis of power networks to d...
Numerical analysis of minimal beta-sequences associated with a family of entire functions
Numerical analysis Entire functions Pochhammer polynomials Riemann Xi-function
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2011/9/22
Abstract: The Riemann Xi-function Xi(t)=xi(1/2+it) is a particularly interesting member of a broad family of entire functions which can be expanded in terms of symmetrized Pochhammer polynomials depen...
Analysis of a Fast Fourier Transform Based Method for Modeling of Heterogeneous Materials
Homogenization Fast Fourier Transform Conjugate Gradients
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2011/9/20
Abstract: The focus of this paper is on the analysis of the Conjugate Gradient method applied to a non-symmetric system of linear equations, arising from a Fast Fourier Transform-based homogenization ...
An analysis of the practical DPG method
discontinuous Galerkin Petrov-Galerkin DPG method ultraweak formulation
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2011/9/16
Abstract: In this work we give a complete error analysis of the Discontinuous Petrov Galerkin (DPG) method, accounting for all the approximations made in its practical implementation. Specifically, we...
Consistency Analysis of Finite Difference Approximations to PDE Systems
systems of partial differential equations involution Thomas decomposition finite difference approximations consistency
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2011/9/16
Abstract: In the given paper we consider finite difference approximations to systems of polynomially-nonlinear partial differential equations whose coefficients are rational functions over rationals i...
Solvability and asymptotic analysis of a generalization of the Caginalp phase field system
phase field model well-posedness regularity asymptotic behaviour error estimates
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2011/9/15
Abstract: We study a diffusion model of phase field type, which consists of a system of two partial differential equations involving as variables the thermal displacement, that is basically the time i...
A Direct Estimation Approach to Sparse Linear Discriminant Analysis
Classification constrained l1-minimization Fisher’s rule linear discriminant analysis naive Bayes rule sparsity
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2011/10/8
Abstract: This paper considers sparse linear discriminant analysis of high-dimensional data. In contrast to the existing methods which are based on separate estimation of the precision matrix $\O$ and...
The alpha-calculus-cum-alpha-analysis of r-th order derivative of zeta(s,alpha)
Hurwitz zeta function Bernoulli polynomials /numbers Number Theory
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2011/9/14
Abstract: For the higher order derivative(with respect to the first variable) of Hurwitz zeta function,we discuss as a function of the second variable,the location and the nature of its singularities ...