Gerald Moore

• Room No : 6M17
• Telephone No. : 0207 594 8530
• E-Mail Address : g.moore@imperial.ac.uk

Research Interests :

Numerical Analysis: bifurcation problems, dynamical systems, boundary value ODE's.

Some Recent Publications :

• Moore, G.
  Computation and parametrisation of invariant curves and tori.
  SIAM J. Num. Anal. 33, (1996), 2333-2359.
• Lixin, L., Moore, G. & Russell, R.D.
  Computation and continuation of homoclinic and heteroclinic orbits with arclength parametrisation.
  SIAM J. Sci. Comp. 18, (1997), 69-93.
• Moore, G.
  Geometric methods for computing invariant manifolds
  Applied Numerical Mathematics 17, (1995), 319-331.
• Butcher, J., Cash, J.R., Moore, G. & Russell, R.D.
  Defect correction for two-point boundary value problems on non-equidistant meshes.
  Math. Comp. 64, (1995), 629-648.
• Moore, G.
  Computation and parametrisation of periodic and connecting orbits.
  IMA J. Numer. Anal. 15, (1995), 245-263.
• Moore, G. & Hubert, E.
  Algorithms for constructing stable manifolds of stationary solutions.
  IMA J. Numer. Anal. 19, (1999), 375-424,
• Moore, G.
  Laguerre approximation of stable manifolds with application to connecting orbits.
  Math. Comp. 73, (2004), 211-242.
• Moore, G.
  Floquet theory as a computational tool.
  SIAM J. Num. Anal. 42, (2005), 2522-2568.
• Moore, G.
  From Hopf to Neimark-Sacker bifurcation: a computational algorithm.
  Int. J. Comp. Sci. Math. 2, (2008), 132-180.
• Cash, J., Kitzhofer, G., Koch, O., Moore, G. & Weinmuller, E.
  Numerical solution of singular two-point boundary value problems.
  J. Numer. Anal. Indust. & Appl. Math. 4, (2009), 129-149.
• Moore, G.
  Orthogonal polynomial expansions for the matrix exponential.
  Linear Algebra & its Applications 435, (2011), 537-559.

M3N4 Computational Linear Algebra :

2009-2010 Notes

• direct09.pdf
• progc09.pdf
• progf09.pdf
• iter09.pdf
• eigen09.pdf

M4A35/MSA5 Bifurcation Theory:

• Lecture notes 2003-4.

M2AA1 Ordinary Differential Equations:

• Lecture notes 09/01/12.
• Chapter 1 solutions 09/01/12.
• Chapter 2 solutions 13/02/12.
• Chapter 3 solutions 19/03/12.
• Test 1 paper 06/02/12.
• Test 1 solutions 06/02/12.
• Test 2 paper 19/03/12.
• Test 2 solutions 19/03/12.
• Lecture notes 05/04/11.
• Chapter 2 solutions 23/02/11.
• Chapter 3 solutions 06/03/11.
• Chapter 4 solutions 12/04/11.
• Test 1 paper 06/04/11.
• Test 1 solutions 10/03/11.
• Test 2 paper 06/04/11.
• Test 2 solutions 26/03/11.
• Example exam question 1 09/04/11.
• Example exam answer 1 16/04/11.
• Example exam question 2 14/04/11.
• Example exam answer 2 19/04/11.

M3N3 Optimisation:

• Lecture notes 2009-10.
• sdtr.m sdtrtest.m
• ntr.m ntrtest.m concave.m