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Cambridge University Press по журналам "European Journal of Applied Mathematics"

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  • A brief history of the analysis of crime concentration
    JOHNSON SHANE D. (Cambridge University Press. Cambridge, UK, 2010-10-01)
    Decades of research demonstrate that crime is concentrated at a range of spatial scales. Such findings have clear implications for crime forecasting and police resource allocation models. More recent work has also shown ...
  • A brief history of the analysis of crime concentration
    JOHNSON SHANE D. (Cambridge University Press. Cambridge, UK, 2010-10-01)
    Decades of research demonstrate that crime is concentrated at a range of spatial scales. Such findings have clear implications for crime forecasting and police resource allocation models. More recent work has also shown ...
  • Adding police to a mathematical model of burglary
    PITCHER ASHLEY B. (Cambridge University Press. Cambridge, UK, 2010-10-01)
    We review the Short model of urban residential burglary derived from taking the continuum limit of two difference equations – one of which models the attractiveness of individual houses to burglary, and the other of which ...
  • Adding police to a mathematical model of burglary
    PITCHER ASHLEY B. (Cambridge University Press. Cambridge, UK, 2010-10-01)
    We review the Short model of urban residential burglary derived from taking the continuum limit of two difference equations – one of which models the attractiveness of individual houses to burglary, and the other of which ...
  • A differential constraints approach to partial invariance
    Ondich Jeffrey (Cambridge University Press. Cambridge, UK, 1995-12-01)
    Ovsiannikov's method of partially invariant solutions of differential equations can be considered to be a special case of the method of differential constraints introduced by Yanenko and by Olver and Rosenau. Differential ...
  • A free boundary problem arising in the modelling of internal oxidation of binary alloys
    Hu Bei; Zhang Jianhua (Cambridge University Press. Cambridge, UK, 1995-06-01)
    A one-dimensional free boundary problem arising in the modelling of internal oxidation of binary alloys is studied in this paper. The free boundary of this problem is determined by the equation u = 0, where u is the solution ...
  • A free boundary problem involving a cusp Part I: Global analysis
    Alt H. W.; van Duijn C. J. (Cambridge University Press. Cambridge, UK, 1993-03-01)
    We consider the behaviour of the interface (free boundary) between fresh and salt water in a porous medium (a reservoir). The salt water is below the interface (with respect to the direction of gravity) and is stagnant. ...
  • A general construction of fractal interpolation functions on grids of n
    BOUBOULIS P.; DALLA L. (Cambridge University Press. Cambridge, UK, 2007-08-01)
    We generalise the notion of fractal interpolation functions (FIFs) to allow data sets of the form $$\{(x_{1,i_1},x_{2,i_2},\ldots,x_{n,i_n},z_{i_1,i_2,\ldots,i_n}); i_k=0,1,\ldots,N_k,\;k=1,2,\ldots,n\} \subset I\times\R,$$ where ...
  • A generalized Danckwerts transformation
    McNabb A. (Cambridge University Press. Cambridge, UK, 1993-06-01)
    Linear Fredholm operators (J, k) of the form u(x, t) = (J, k) v (x, t) ≡ J(t) v (x, t)+ k(t, s) v (x, s)ds can be found which map solutions v of the linear matrix system of n partial differential equations ∂u/∂t = DLv + ...
  • A Ginzburg–Landau type model of superconducting/normal junctions including Josephson junctions
    Chapman S. Jonathan; Du Qiang; Gunzburger Max D. (Cambridge University Press. Cambridge, UK, 1995-04-01)
    A model for superconductors co-existing with normal materials is presented. The model, which applies to such situations as superconductors containing normal impurities and superconductor/normal material junctions, is based ...
  • Algorithms for reducing a system of PDEs to standard form, determining the dimension of its solution space and calculating its Taylor series solution
    Reid Gregory J. (Cambridge University Press. Cambridge, UK, 1991-12-01)
    We present several algorithms, executable in a finite number of steps, which have been implemented in the symbolic language maple. The standard form algorithm reduces a system of PDEs to a simplified standard form which ...
  • A mathematical model for the wet-spinning process
    Ockendon H.; Terrill E. L. (Cambridge University Press. Cambridge, UK, 1993-12-01)
    A mathematical model for the hydrodynamic flow and fibre deflections in a wet-spinning process is presented. The model is characterized by two parameters: α which is a characteristic ratio of the hydrodynamic force to the ...
  • A mathematical model for washing a tow of fibres: Part 1
    Terrill E. L.; Byatt-Smith J. G. (Cambridge University Press. Cambridge, UK, 1994-12-01)
    A mathematical model is presented for the washing of a band, or tow, of fibres which is pulled past a submerged obstacle. A lubrication flow between the obstacle and the tow is coupled to a flow through the tow, which is ...
  • A mathematical model for washing a tow of fibres: Part 2
    Byatt-Smith J. G.; Terrill E. L. (Cambridge University Press. Cambridge, UK, 1995-02-01)
    In Part I of this paper (Terrill & Byatt-Smith, 1993) the problem of the flow between an obstacle in the form of a wedge and a porous flexible tow was modelled using lubrication theory. In the region close to the wedge ...
  • A mathematical model of an oil and gas field development process
    ATKINSON C.; ISANGULOV R. (Cambridge University Press. Cambridge, UK, 2010-06-01)
    A mathematical model of the development of an oil and gas field is presented. The field development process is treated as sequential in nature. Completion of a well and its production are considered to be random processes. ...
  • A mathematical model of an oil and gas field development process
    ATKINSON C.; ISANGULOV R. (Cambridge University Press. Cambridge, UK, 2010-06-01)
    A mathematical model of the development of an oil and gas field is presented. The field development process is treated as sequential in nature. Completion of a well and its production are considered to be random processes. ...
  • A mathematical model of damage accumulation taking into account microstructural effects
    Barenblatt G. I.; Prostokishin V. M. (Cambridge University Press. Cambridge, UK, 1993-09-01)
    It is shown that the influence of microstructure in the damage accumulation process leads to a nonlinear diffusion effect, with a strongly stress-dependent diffusion coefficient. A nonlinear parabolic equation with a source ...
  • A mean-field model of superconducting vortices
    Chapman S. J.; Rubinstein J.; Schatzman M. (Cambridge University Press. Cambridge, UK, 1996-04-01)
    A mean-field model for the motion of rectilinear vortices in the mixed state of a type-II superconductor is formulated. Steady-state solutions for some simple geometries are examined, and a local existence result is proved ...
  • A Mellin transform solution to a second-order pantograph equation with linear dispersion arising in a cell growth model
    van BRUNT B.; WAKE G. C. (Cambridge University Press. Cambridge, UK, 2011-04-01)
    In this paper we study the probability density function solutions to a second-order pantograph equation with a linear dispersion term. The functional equation comes from a cell growth model based on the Fokker–Planck ...
  • A Mellin transform solution to a second-order pantograph equation with linear dispersion arising in a cell growth model
    van BRUNT B.; WAKE G. C. (Cambridge University Press. Cambridge, UK, 2011-04-01)
    In this paper we study the probability density function solutions to a second-order pantograph equation with a linear dispersion term. The functional equation comes from a cell growth model based on the Fokker–Planck ...