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Moore, Gerald - Department of Mathematics, Imperial College, London
Iterative Solution of Linear Systems
Consider the nth -order scalar homogeneous equation
Computation and Parametrisation of Periodic and Connecting Orbits Gerald Moorey
FORTRAN Subroutines being an appendix to
SIAM J. NUMER. ANAL. c 2005 Society for Industrial and Applied Mathematics Vol. 42, No. 6, pp. 25222568
Differential c Gerald Moore
1 The functions are linearly dependent because -1(t) + 2(t) + 3
Differential c Gerald Moore
Algorithms for Constructing Stable Manifolds of Stationary Solutions Gerald Moorey & Evelyne Hubertz
SIAM J. NUMER. ANAL. c fl199? Society for Industrial and Applied Mathematics
Continuation, Bifurcation,
GEOMETRIC METHODS FOR COMPUTING INVARIANT
Direct Solution of Linear Systems
FROM HOPF TO NEIMARKSACKER BIFURCATION: A COMPUTATIONAL ALGORITHM
1 The solution spaces are cos(at) sin(at)
a(s) ds t R. a(s) ds because
M2AA1 Ordinary Differential Equations Solutions 1 201011 1 (a) 2 marks
M2AA1 Ordinary Differential Equations Progress Test 2 201011 1 You are told that the scalar second-order homogeneous equation
M2AA1 Ordinary Differential Equations Solutions 2 201011 1 (a) 2 marks
(a) The companion matrix is 0 0 1
Consider the homogeneous system () x(t) = A(t)x(t) t R
COMPUTATION AND CONTINUATION OF HOMOCLINIC AND HETEROCLINIC ORBITS WITH ARCLENGTH
The Symmetric Eigen-problem
(a) The columns of XF consist of any n linearly independent solutions for ().
Numerical Solution of Singular Two Point BVPs J. Cash, G. Kitzhofer, O. Koch, G. Moore, E. Weinmuller
M2AA1 Ordinary Differential Equations Progress Test 1 201011 1 Consider the homogeneous system
C Subroutines being an appendix to
LAGUERRE APPROXIMATION OF STABLE MANIFOLDS WITH APPLICATION TO CONNECTING ORBITS
Optimisation c Gerald Moore
Orthogonal polynomial expansions for the matrix exponential Gerald Moore
1 The functions are linearly dependent because -1(t) + 2(t) + 3
M2AA1 Ordinary Differential Equations Progress Test 1 201112 1 (a) Carefully define what it means for the set of vectors
M2AA1 Ordinary Differential Equations Solutions 1 201112 1 (a) 1 mark
1 The solution spaces are cos(at) sin(at)
Differential c Gerald Moore