117 Result(s)
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Article
Jian-Guo Liu
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Article
Nonlinear stability of discrete shocks for systems of conservation laws
In this paper we study the asymptotic nonlinear stability of discrete shocks for the Lax-Friedrichs scheme for approximating general m×m systems of nonlinear hyperbolic conservation laws. It is shown that weak si...
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Boundary-layer behavior in the fluid-dynamic limit for a nonlinear model Boltzmann equation
In this paper, we study the fluid-dynamic limit for the one-dimensional Broadwell model of the nonlinear Boltzmann equation in the presence of boundaries. We consider an analogue of Maxwell's diffusive and ref...
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Evaluation of Landsat-7 ETM+ Panchromatic Band for Image Fusion with Multispectral Bands
The Landsat-7 ETM+ panchromatic band is taken simultaneously with multispectral bands using the same sensor system. The two data sets, therefore, are coregistered accurately and the solar illumination and othe...
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Analysis of finite difference schemes for unsteady Navier-Stokes equations in vorticity formulation
In this paper, we provide stability and convergence analysis for a class of finite difference schemes for unsteady incompressible Navier-Stokes equations in vorticity-stream function formulation. The no-slip ...
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A Fourth Order Scheme for Incompressible Boussinesq Equations
A fourth order finite difference method is presented for the 2D unsteady viscous incompressible Boussinesq equations in vorticity-stream function formulation. The method is especially suitable for moderate to ...
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Article
Concepts and Application of Time-Limiters to High Resolution Schemes
A new class of implicit high-order non-oscillatory time integration schemes is introduced in a method-of-lines framework. These schemes can be used in conjunction with an appropriate spatial discretization sch...
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Global convergence properties of the modified BFGS method associating with general line search model
To the unconstrained programme of non-convex function, this article give a modified BFGS algorithm. The idea of the algorithm is to modify the approximate Hessian matrix for obtaining the descent direction and...
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Analysis of a fourth order finite difference method for the incompressible Boussinesq equations
The convergence of a fourth order finite difference method for the 2-D unsteady, viscous incompressible Boussinesq equations, based on the vorticity-stream function formulation, is established in this article....
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Epitaxial Growth Without Slope Selection: Energetics, Coarsening, and Dynamic Scaling
We study a continuum model for epitaxial growth of thin films in which the slope of mound structure of film surface increases. This model is a diffusion equation for the surface height profile h which is assu...
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Article
An two phase abs method for solving over determined systems of linear inequalities
The method, called the Multi-Stage ABS algorithm, for solving the over-determined linear inequalities system and the system combined with the over-determined linear inequalities and the equations is presented....
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Global convergence properties of two modified BFGS-type methods
This article studies a modified BFGS algorithm for solving smooth unconstrained strongly convex minimization problem. The modified BFGS method is based on the new quasi-Newton equation Bk+1sk=yk where yk*, =yk + ...
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Article
Multi-wavelength fiber laser based on broadband fiber grating and HiBi fiber loop mirror
A fiber laser based on broadband C-band fiber grating (CFG) and high birefringence (HiBi) fiber loop mirror (FLM) is demonstrated, which uses the comb-like reflection performance of the HiBi FLM. Under differe...
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Article
Global convergence of a modified BFGS-type method for unconstrained non-convex minimization
To the unconstrained programme of non-convex function, this article give a modified BFGS algorithm associated with the general line search model. The idea of the algorithm is to modify the approximate Hessian ...
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Article
Effects of combination therapy with atenolol and amlodipine on blood pressure control and stroke prevention in stroke-prone spontaneously hypertensive rats
To test the effects of atenolol and amlodipine, either alone or in combination, on blood pressure, blood pressure variability (BPV), baroreflex sensitivity (BRS), and the prevalence of stroke in stroke-prone s...
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Basic Themes and Pretty Problems of Nonlinear Solid Mechanics
The first part of this paper describes some important underlying themes in the mathematical theory of continuum mechanics that are distinct from formulating and analyzing governing equations. The main part of ...
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Article
A modified BFGS method and its superlinear convergence in nonconvex minimization with general line search rule
In this paper, a modification of the BFGS algorithm for unconstrained nonconvex optimization is proposed. The idea of the algorithm is to modify the approximate Hessian matrix for obtaining the descent directi...
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Article
Empirical analysis on a keyword-based semantic system
Keywords in scientific articles have found their significance in information filtering and classification. In this article, we empirically investigated statistical characteristics and evolutionary properties o...
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Effects of allisartan, a new AT1 receptor blocker, on blood pressure and end-organ damage in hypertensive animals
To investigate the effects of allisartan, a new angiotensin II type 1 (AT1) receptor antagonist, on blood pressure (BP) and end-organ damage (EOD) in hypertensive rats and dogs.
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Article
Protective effects of betaglucin on myocardial tissue during myocardial infarction in rats and dogs
To test the protective effects of betaglucin, a novel beta-glucan, on models of myocardial infarction (MI) in rats and dogs.
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Error estimates for finite-element Navier-Stokes solvers without standard Inf-Sup conditions
The authors establish error estimates for recently developed finite-element methods for incompressible viscous flow in domains with no-slip boundary conditions. The methods arise by discretization of a well-po...
