Astrophysical
Convection, Geophysical Convection,
Oceanography, Computer Algebra,
Rapid Solution of Linear Elliptic Partial Differential Equations,
Two-Point Boundary Value Problems,
Fast Finite Fourier Transforms,
Parallel Computing.
Recent Publications:
"Lobatto-Obrechkoff Formulae for 2nd Order Two-Point Boundary
Value problems"
S D
Capper, J R Cash and D R Moore
Journal of Numerical Analysis , Industrial and Applied Mathematics
Vo.
1, No. 1, pp 13-24 (2006)
"On High order MIRK Schemes and hermite-Birkhoff Interpolants"
S D
Capper and D R Moore
Journal of Numerical Analysis , Industrial and Applied Mathematics
Vo.
1, No. 1, pp 25-45 (2006)
"The $\gamma$-Ray Giant Flare from SGR1806-20: Evidence for
Crustal Cracking via Initial Timescales"
Steven J. Schwartz, Silvia Zane, Robert J. Wilson, Frank P.
Pijpers, Daniel R. Moore, D. O. Kataria,
Timothy S. Horbury, Andrew N. Fazakerley, and Peter J. Cargill
Astrophysical Journal Letters (10 July 2005)
Vol 627, No. 2, pt.2, L129
(Link to Press release: http://sci.esa.int/science-e/www/object/index.cfm?fobjectid=37944)
"High Order Interpolants for solutions of Two-Point Boundary
Value Problems using MIRK Methods"
J.R. Cash &
D.R. Moore,
Computers and
Mathematics with Applications
Vol 48, pp 1749-1763 (2004)
"Exact, infinite energy, blow-up solutions of the
three-dimesnional
Euler equations"
J D Gibbon, D R
Moore & J T Stuart
Nonlinearity, (2003)
vol. 16, pp 1823-1831.
"A highly stable deferred correction scheme with interpolant for
systems of nonlinear two-point boundary value problems"
J.R. Cash, D.R.
Moore,N. Sumarti, M. Van Daele
J. of Computational and Applied Mathematics, (2003)
Vol 155/2 pp 339 - 358
"Mono-implicit Runge-Kutta formulae for the numerical solution
of second order nonlinear two-point boundary value problems"
J.R. Cash, M.P.
Garcia, D.R. Moore,
J. of Computational and Applied Mathematics, (2002)
Vol 143 pp 275-289
"Linear Convective Instability in a Radiative Model Atmosphere",
W.-L. Chan,
D.R. Moore & J.A.G. Aston,
Geophys. Astrophys. Fluid Dynamics,(2000)
Vol 93 3-4 pp 289-322.
"Radiative Transfer in a Static Model Atmosphere",
J.A.G.
Aston, W.-L. Chan, D.R. Moore & I.C. Walton,
Geophys. Astrophys. Fluid Dynamics,(2000)
Vol 93 3-4 pp 253-288.
"Resonant interactions in thermosolutal convection",
Daniel R.
Moore & Nigel O. Weiss,
Proc. R. Soc. Lond. A 456, 39-62, (2000)
"The NRL layered ocean model",
Alan J.
Wallcraft & Daniel R. Moore,
Parallel Computing, 23, 2227-2242, (1997)