Severity assessment in community-acquired pneumonia: a review (2009)
Singanayagam, A., Chalmers, J.D., Hill, A.T.
Severity assessment is an important early step in the management of patients presenting with community-acquired pneumonia. Various pneumonia-specific scores, generic sepsis scores and predictive...
On A Multistep Method Approximating A Linear Sectorial Evolution Equation (2007)
. This paper concerns the linear multistep approximation of an abstract dissipative linear sectorial evolution equation on a Banach space X . We study how well the semigroup generated by a sectorial...
Global Dissipativity for A-Stable Methods (1997)
A.T. Hill, Society For Industrial
. This paper concerns the discretization of the initial value problem u t = f(u) under the three structural conditions: (i) f : C N -# C N # e # f ( u ,u##a-b|u| 2 ,a#0,b>0 for all u # C N ; (ii)...
Set convergence for discretizations of the attractor (1996)
We consider the discretization of a dynamical system given by a C0-semigroup S(t), defined on a Banach space X, possessing an attractor 𝒜. Under certain weak assumptions, Hale, Lin and Raugel...
Upper Semicontinuity of Attractors for Linear Multistep Methods (1993)
A.T. Hill, Claverton Down, Bath Ba Ay, E. Süli
This paper sets out a theoretical framework for approximating the attractor A of a semigroup S(t) defined on a Banach space X by a q--step semi--discretization in time with constant step--length k....
Global Dissipativity for A-Stable Methods
: This paper concerns the discretization of the initial value problem u t = f(u), under the three structural conditions (i) f : C N \Gamma! C N ; !ehf(u); ui a \Gamma bjuj 2 ; a 0; b ? 0; for all u 2...