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26 Apr 2018: Thisis. asupe. rvisor’s. copy. oftheno. tes. Pleasedo. notdistribu. teto. stud. ents. Mathematical Tripos: IA/IB Computational Projects. Contents. 0 Introduction 1. 0.1 Overview. 1. 0.2 Aims. 1. 0.2.1 Understanding algorithms. 2. 0.2.2 Being able

8 Jan 2018: diameters) long with t = 0, 0.25, 0.5, 1, 2.5, 5, 10, 20 and Topt = 29.35 D/U (going downwards: flowis from left to right) where U is ... Red dots indicate thetimes (t = 0, 20, 60 and 100) where cross-sections of the total flow (left: 8 contours across [1

23 May 2018: Iserles (ed.), Acta Numerica 20, Cambridge Univ. Press (2011). A. Iserles (ed.), Acta Numerica 19, Cambridge Univ.

2 Nov 2018: 3.20). On the other hand, if m and n go to infinity in case (6), we consider the expression. ... 20. Figure 3.3: log10 |dm,n| (the blue dotted line) and its asymptotic approximation (thered line), for n = 0 (the top left), m = 0 (the top right), m = n

21 Apr 2018: 60. 40. 20. 0. time. Laser profile. e1(t). 4 2 0 2 4.

17 Apr 2018: measuredµ(ξ) = |ξ|2ηeξ. 2. dξ, ξ R. 20. They obey the three-term recurrence relation.

3 Apr 2018: O(h4)︷ ︸︸ ︷iΛ [ψ]1,1(h) 2i. 〈2xµ2,1(h). 〉2, (2.20). whereψ(h,ζ,ξ) = ζ ξ h3. ... Magnus–Lanczos. In Figure 4.3 (right) and Figure 4.4 (right) we show the errorsin exponentiating the order six Magnus expansions (with and without

13 Dec 2018: 20). where Xl = 12 (xl1 xl). The last subintegral with singularitycan be approximated by. ... Then everything turns to be knownin Eq. (20) except the discrete ψ′(Xl).

13 Dec 2018: For example, without further approximation,evaluation for a scatterer of around 220 by 20 wavelengthscan be carried out in around 100 minutes using 32processors on the SunFire machine. ... 0.05 0.05 0.2 0.6 1.0 1.4 1.8. Fig. 1 Surface current amplitudes

13 Dec 2018: allows derivation of analytical results [17–20]. ... 20. M. Spivack, Solution of the inverse scattering problem for grazing incidence upon a rough surface,J.