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Moment-free numerical approximation of highly oscillatory…
www.damtp.cam.ac.uk/user/na/NA_papers/NA2006_09.pdf27 Nov 2006: We begin with the derivation of a new asymptotic expan-sion, which has the property that the accuracy improves as the frequency of oscillationsincreases. ... We first present the Iserles and Nørsett expansion, to motivate the methodologybehind the new -
Cambridge NA Report NA2006/01 Joint Diagonalization on the Oblique ...
www.damtp.cam.ac.uk/user/na/NA_papers/NA2006_01.pdf24 Jan 2006: In a second step, an orthogonal matrix U issought that diagonalizes the new target set {W̃ T C1W̃ ,. , W̃. T C1W̃ }. This yields a separatingmatrix W = W̃ U ; see, for example, ... Com94] Pierre Comon, Independent component analysis, A new concept?, -
Numerical approximation of vector-valued highly oscillatory integrals …
www.damtp.cam.ac.uk/user/na/NA_papers/NA2006_06.pdf26 Jul 2006: the requisite order of error. We now show that this new Levin-type method is equivalent to the originalLevin-type method. ... Thus. D̄(P D̄1W D̄G)D̄1 = P W G,. It follows that, where B2 = P D̄1W D̄G is the matrix associated with the new Levin-type -
A Class of Integrable Geodesic Flows on the Symplectic ...
www.damtp.cam.ac.uk/user/na/NA_papers/NA2006_02.pdf20 Apr 2006: a new geodesic flow thatis not of rigid body type on the Lie group Sp(nR). ... Borisov, A.V., S.I. Mamaev, and V.V. Sokolov [2001], A new integrable case onso(4), Dokl. -
DAMTP 2006/NA03 Fast evaluation of polyharmonic splines in three ...
www.damtp.cam.ac.uk/user/na/NA_papers/NA2006_03.pdf31 Aug 2006: April, 2006. 1Department of Mathematics and Statistics, University of Canterbury, Private Bag 4800,Christchurch 8020, New Zealand. ... Anderson and C. Greengardeds, Lecture Notes in Mathematics 1360, Springer-Verlag, New York, 1988. -
Paper1.dvi
www.damtp.cam.ac.uk/user/na/NA_papers/NA2006_05.pdf20 Jun 2006: Henrici, P. (1986),Applied and Computational Complex Analysis, Vol. 3, John Wiley & Sons,New York. -
On the linear stability of splitting methods Sergio Blanes1∗ ...
www.damtp.cam.ac.uk/user/na/NA_papers/NA2006_08.pdf2 Sep 2006: By selecting convenientlythe stability polynomial, new integration methods with processing are builtwhich are orders of magnitude more efficient than other algorithms previouslyavailable. ... In consequence,when designing new integration schemes of the -
Bnew_BIT.dvi
www.damtp.cam.ac.uk/user/na/NA_papers/NA2006_04.pdf24 Nov 2006: BIT Numerical Mathematics (2006)46:000-000 c Springer 2006.DOI:10.1007/s10543-000-0000-x. B-series methods cannot be volume-preserving. A. ISERLES1, G. R. W. QUISPEL23, P. S. P. TSE4. 1Department of Applied Mathematics and Theoretical Physics, -
handout_07.dvi
www.damtp.cam.ac.uk/user/examples/3N2a.pdf23 Nov 2006: The scheme (2.12) is very expensive, since (i) the Jacobian must be re-evaluated in each iteration;(ii) a new linear system must be solved for every j. ... 3] P. Henrici, Discrete Variable Methods in Ordinary Differential Equations, Wiley, New York, 1962.
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