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10 Apr 2008: Re λm (mπ)2. ω4. 2(mπ)2 5/24(mπ)4. ω6+ O(ω8), (3.1). Im λm 2.

18 Mar 2008: We omit the lemma and state the theorem. Theorem 4.3 Define the quadrature rule QM [f ] with points and weights givenby (24). ... Comp., 76:1341–1356, 2007. [24] R. Wong. Asymptotic approximations of integrals. Academic Press, 1989.

29 Jan 2008: DAMTP 2008/NA03. On nonlinear optimization since 19591. M.J.D. Powell. Abstract: This view of the development of algorithms for nonlinear optimiza-tion is based on the research that has been of particular interest to the authorsince 1959, including

27 Jan 2008: A Theoretical Framework forBackward Error Analysis on Manifolds. Anders C. Hansen. January 25, 2008. DAMTP, Centre for Mathematical SciencesUniversity of Cambridge, Wilberforce Rd, Cambridge CB3 0WA. e-mail: A.Hansen@damtp.cam.ac.uk, Ph: 44 1223

23 Sep 2008: f• -. •'(y, z) (24). and the mean meridional and vertical velocities •,fv satisfy a zonally symmetric mass-conservation equation of the form. ... A more accurate 92 - version of (26), based on a more accurate version of (24), is presented by P.

1 Apr 2008: Multiple Jets as PV Staircases: The Phillips Effect and the Resilience ofEddy-Transport Barriers. D. G. DRITSCHELMathematical Institute, University of St. Andrews, St. Andrews, United Kingdom. M. E. MCINTYRECentre for Atmospheric Science, Department

3 Jun 2008: Consider a single first order PDE. F(x1,. ,xn,u,. u. x1,. ,. u. xn. )= 0. (4.1). 24. This PDE defines a co–dimension one manifold M J1(Rn, R) of

1 Jul 2008: The Riemann–Hilbert factorization problem underlies this approachto integrability: it appears in classical solution generating techniques such as dressingtransformations [18], as well as in the twistor treatment of ASDYM [24]. ... Math. Phys. 7

18 Mar 2008: eA00fA D 0; (24)eA10fA D 0: (25). Anti-self-dual conformal structures in neutral signature 123. ... 4Other terminology includes neutral hyper-Kähler [28] and hyper-para-Kähler [24]. Anti-self-dual conformal structures in neutral signature 127.

29 Jan 2008: 502, Campus Universitaire, Orsay, F-91405, France. B. PerrinLaboratoire Pierre Aigrain, UMR 8551, CNRS, Ecole Normale Supérieure, Département de Physique,24 rue Lhomond, 75231 Paris Cedex 05, France.