Reports 1997

NA1997/22
Arieh Iserles, Robert McLachlan and Antonella Zanna
"Approximately preserving symmetries in numerical integration"

NA1997/21
M.J.D. Powell
"An optimal way of moving a sequence of points onto a curve in two dimensions"

NA1997/20
Yunkang Liu
"Runge--Kutta-Collocation methods for systems of functional--differential and functional equations"

NA1997/19
Aurelian Bejancu
"Local accuracy for radial basis function interpolation on finite uniform grids"

NA1997/18
M.J.D. Powell
"Trust region calculations revisited"

NA1997/17
Antonella Zanna
"Collocation and relaxed collocation for the Fer and the Magnus expansions" (Revised version, with added numerical experiments)

NA1997/16
Mari Paz Calvo, Arieh Iserles and Antonella Zanna
"Semi-explicit methods for isospectral flows"

NA1997/15
Yunkang Liu
"Numerical solution of the heat equation with nonlocal boundary conditions"

NA1997/14
Hans Munthe-Kaas
"High-order Runge-Kutta methods on manifolds"

NA1997/13
Arieh Iserles
"Multistep methods on manifolds"

NA1997/12
M.J.D. Powell
"The use of band matrices for second derivative approximations in trust region algorithms"

NA1997/11
Andreas Dullweber, Benedict Leimkuhler, and Robert McLachlan
"Split-Hamiltonian Methods for Rigid Body Molecular Dynamics"

NA1997/10
Arieh Iserles
"Insight, not just numbers"

NA1997/09
Arieh Iserles and Syvert P. Norsett
"Linear ODEs in Lie groups"

NA1997/08
Benedict Leimkuhler
"Reversible adaptive regularization I: perturbed Kepler motion and classical atomic trajectories"

NA1997/07
Aurelian Bejancu
"The uniform convergence of multivariate natural splines"

NA1997/06
Yunkang Liu
"Existence, uniqueness and continuous dependence for neutral equations with state-dependent delays"

NA1997/05
Ayla Kol, Brian Laird and Benedict Leimkuhler
"A symplectic method for rigid-body molecular simulation"

NA1997/04
Yunkang Liu
"Numerical solution of implicit neutral functional differential equations"

NA1997/03
Arieh Iserles and Syvert P. Norsett
"On the solution of linear differential equations in Lie groups"

NA1997/02
Antonella Zanna
"Lie-group methods for isospectral flows"

NA1997/01
George Goodsell
"On finding p-th nearest neighbours of scattered points in two dimensions for small p"