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Practical Applied Mathematics: The basics of modelling

Sam Howison
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The article was published on 2005-01-01. It has received 8 citations till now. The article focuses on the topics: Engineering mathematics.

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Journal ArticleDOI

Matched Asymptotic Expansions in Financial Engineering

TL;DR: In this article, the use of matched asymptotic expansions in option pricing has been investigated in the context of stochastic processes of diffusion type. And a tentative framework for applied matched-asymptotics expansion applied directly to stochastically processes of the diffusion type is also proposed.
Journal ArticleDOI

The mathematical modelling of rotating capillary tubes for holey-fibre manufacture

TL;DR: In this paper, the authors examined the fluid dynamics of capillary drawing using an extensional-flow asymptotic approach based on the small aspect ratio of the capillary, and made predictions concerning the effects of fiber rotation.
Journal ArticleDOI

Location-Oriented Evolutionary Games for Price-Elastic Spectrum Sharing

TL;DR: A model where geographic information, including licensed areas of primary users (PUs) and locations of secondary users (SUs), plays an important role in the spectrum sharing system and the existence and uniqueness of the evolutionary stable strategy quota vector of each PU is proved.

A mathematical model of a road block

TL;DR: The eect of a road block on the trac depends on three parameters, the density of the oncoming trac, the time T and the ratio of the speed limit in the road block to the speedlimit on the open road.
Dissertation

Regularity and approximation of a hyperbolic-elliptic coupled problem

Carola Kruse
TL;DR: In this article, the authors consider the regularity and approximation of a hyperbolic-elliptic coupled problem in a nonconvex, not simply connected domain Ω that is supposed to be homeomorph to an annular domain.
References
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Journal ArticleDOI

Matched Asymptotic Expansions in Financial Engineering

TL;DR: In this article, the use of matched asymptotic expansions in option pricing has been investigated in the context of stochastic processes of diffusion type. And a tentative framework for applied matched-asymptotics expansion applied directly to stochastically processes of the diffusion type is also proposed.
Journal ArticleDOI

The mathematical modelling of rotating capillary tubes for holey-fibre manufacture

TL;DR: In this paper, the authors examined the fluid dynamics of capillary drawing using an extensional-flow asymptotic approach based on the small aspect ratio of the capillary, and made predictions concerning the effects of fiber rotation.
Journal ArticleDOI

Location-Oriented Evolutionary Games for Price-Elastic Spectrum Sharing

TL;DR: A model where geographic information, including licensed areas of primary users (PUs) and locations of secondary users (SUs), plays an important role in the spectrum sharing system and the existence and uniqueness of the evolutionary stable strategy quota vector of each PU is proved.

A mathematical model of a road block

TL;DR: The eect of a road block on the trac depends on three parameters, the density of the oncoming trac, the time T and the ratio of the speed limit in the road block to the speedlimit on the open road.
Dissertation

Regularity and approximation of a hyperbolic-elliptic coupled problem

Carola Kruse
TL;DR: In this article, the authors consider the regularity and approximation of a hyperbolic-elliptic coupled problem in a nonconvex, not simply connected domain Ω that is supposed to be homeomorph to an annular domain.