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Exploring the Competitiveness of Cambodia as an IT Outsourcing Destination
Using assessment criteria from the A.T. Kearney global services location index, the authors explore Cambodia's competitiveness in the global IT outsourcing market (ITO), identifying how the country could become more competitive....
Homogenisation of exponential order for elliptic systems in infinite cylinders
Karsten Matthies
Jan 01, 0001
We consider systems of semilinear elliptic equations on infinite cylinders with a nonlinear rapid periodic inhomogeneity in the unbounded direction. We transform the equation, such that the inhomogeneous term is exponentially...
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Homogenisation of exponential order for elliptic systems in infinite cylinders
Karsten Matthies
Jan 01, 0001
We consider systems of semilinear elliptic equations on infinite cylinders with a nonlinear rapid periodic inhomogeneity in the unbounded direction. We transform the equation, such that the inhomogeneous term is exponentially...
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Backward error analysis of a full discretization scheme for a class of semilinear parabolic partial differential equations
Karsten Matthies
Feb 01, 2003
A numerical method for reaction–diffusion equations with analytic nonlinearity is presented, for which a rigorous backward error analysis is possible. We construct a modified equation, which describes the behavior of the full...
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Geometric solitary waves in a 2D mass-spring lattice
The existence of longitudinal solitary waves is shown for the Hamiltonian dynamics of a 2D elastic lattice of particles interacting via harmonic springs between nearest and next nearest neighbours. A contrasting nonexistence...
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Formulation considerations in the design of topical, polymeric film-forming systems for sustained drug delivery to the skin

Polymeric film-forming systems (FFSs) are potential drug delivery systems for topical application to the skin. The FFSs form thin and transparent polymeric films in situ upon solvent evaporation. Their application convenience...

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Travelling wave solutions for a quasilinear model of field dislocation mechanics
We consider an exact reduction of a model of Field Dislocatin Mechanics to a scalar problem in one spatial dimension and investigate the existence of static and slow, rigidly moving single or collections of planar screw...
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Subsonic phase transition waves in bistable lattice models with small spinodal region
Although phase transition waves in atomic chains with double-well potential play a fundamental role in materials science, very little is known about their mathematical properties. In particular, the only available results about...
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Machine learning in chemical reaction space
Abstract: Chemical compound space refers to the vast set of all possible chemical compounds, estimated to contain 1060 molecules. While intractable as a whole, modern machine learning (ML) is increasingly capable of accurately...
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Solitary solutions to the steady Euler equations with piecewise constant vorticity in a channel
We consider a two-dimensional, two-layer, incompressible, steady flow, with vorticity which is constant in each layer, in an infinite channel with rigid walls. The velocity is continuous across the interface, there is no surface...
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Geometric solitary waves in a 2D mass-spring lattice
The existence of longitudinal solitary waves is shown for the Hamiltonian dynamics of a 2D elastic lattice of particles interacting via harmonic springs between nearest and next nearest neighbours. A contrasting nonexistence...
Published by:
Backward error analysis of a full discretization scheme for a class of semilinear parabolic partial differential equations
Karsten Matthies
Feb 01, 2003
A numerical method for reaction–diffusion equations with analytic nonlinearity is presented, for which a rigorous backward error analysis is possible. We construct a modified equation, which describes the behavior of the full...
Published by:
Low regularity justification results for envelope approximations of nonlinear wave packets in periodic media
We consider a cubic nonlinear wave equation with
highly oscillating cubic coefficient and wave packet initial data.
Using a regularization step of the initial data, we give a low regularity justification of the Nonlinear...
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A uniqueness result for a simple superlinear eigenvalue problem
We study the eigenvalue problem for a superlinear convolution operator in the special case of bilinear constitutive laws and establish the existence and uniqueness of a one-parameter family of nonlinear eigenfunctions under a...
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A semigroup approach to the justification of kinetic theory

This paper develops a method to rigorously show the validity of continuum description for the deterministic dynamics of many interacting particles with random initial data. We consider a hard sphere flow where particles are...

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