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  2. Publications: Edited Volumes A. Iserles (ed.), Acta Numerica 27, ...

    www.damtp.cam.ac.uk/user/na/people/Arieh/Arieh_Iserles/Edited.html
    23 May 2018: Iserles (ed.), Acta Numerica 24, Cambridge Univ. Press (2015). A. Iserles (ed.), Acta Numerica 23, Cambridge Univ.
  3. David Tong: Strongly Coupled Systems

    www.damtp.cam.ac.uk/user/tong/erc.html
    30 May 2018: David Tong and Kenny Wong. [24] The Holographic Dual of AdS3 x S3 x S3 x S1.
  4. Our local environment and theeconomy Why nature needs to ...

    www.damtp.cam.ac.uk/user/pvl/nature/workshop.pdf
    25 Oct 2018: Our local environment and theeconomy. Why nature needs to be taken into account in planning andeconomic decisions. Friday 28 September 2018, 12:45 – 17:30at Centre for Mathematical Sciences, Cambridge CB3 0WA. 12:45 Lunch13:30 Introductory talks
  5. Time integration Issues I AccuracyI Cost I CPU = ...

    www.damtp.cam.ac.uk/user/hinch/teaching/GIAMLectures/L12TS.pdf
    5 Feb 2018: AM4 Adams-Moulton, 4th order, implicit. un1 = un t. 24(9Fn1 19Fn 5Fn1 Fn2).
  6. Time integration Issues I AccuracyI Cost I CPU = ...

    www.damtp.cam.ac.uk/user/hinch/teaching/GIANHandouts/L12TS.pdf
    4 Feb 2018: AM4 Adams-Moulton, 4th order, implicit. un1 = un t. 24(9Fn1 19Fn 5Fn1 Fn2).
  7. Resumé of lecture 2 Driven Cavity in ψ–ω formulation. ...

    www.damtp.cam.ac.uk/user/hinch/teaching/GIANHandouts/Intro3handout.pdf
    1 Feb 2018: Set t = 0.2Rex2. Plot ω(0.5, 0.5, 1) at Re = 10for N = 10, 12, 14, 16, 18, 20, 24 and 28.
  8. Time Irreversibility and Criticality in the Motility of a Flagellate…

    www.damtp.cam.ac.uk/user/gold/pdfs/gaitswitch.pdf
    3 Aug 2018: Received 24 June 2017; revised manuscript received 27 March 2018; published 3 August 2018). ... 3, 403 (1993).[24] S. Kamimura and R. Kamiya, Nature (London) 340, 476.
  9. 13 Apr 2018: 4 inset), cf. elastic fiberbundle models [24]. More generally, the LP approach toAmontons-Coulomb friction problems may have applica-tions in stress transmission in granular media, such as sandpiles and grain ... 13, 848 (2017). [24] S. Pradhan, A. Hansen
  10. PII: 0893-9659(90)90021-3

    www.damtp.cam.ac.uk/user/ms100/PAPERS/AppMathLett90.pdf
    13 Dec 2018: g = (A’ B’)m. where. A’ = a2 -@g. 8’ = -2r [l -! Jtt, $1,! (<, 59 = f(E) f(d. l = @1- 22 - 23 td)/SL, 7 = (21 - 22 2s - 24)/2L, and
  11. Autophoretic motion in three dimensions

    www.damtp.cam.ac.uk/user/lauga/papers/146.pdf
    19 Oct 2018: where. T 2X‘. A‘þ1;2ffiffiffiffiffiffiffiffiffiffiffiffiffi2‘þ3p. ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi‘2 þ2‘þ3. 2‘þ1. sM‘2. 24. ‘þ1‘þ2. ... Brown and W. Poon, Soft Matter, 2014, 10, 4016–4027.24
  12. Physics of Bubble‐Propelled Microrockets

    www.damtp.cam.ac.uk/user/lauga/papers/148.pdf
    19 Oct 2018: 14,24,26] The inner sur-face of the cone is chemically active and catalyzes a chemi cal reaction. ... Li, W. Gao, L. Zhang,. J. Wang, ACS Nano 2015, 9, 117.[24] M.
  13. Recovery of a Variable Coefficient in a Coastal Evolution Equation

    www.damtp.cam.ac.uk/user/ms100/PAPERS/JCP99.pdf
    13 Dec 2018: F′n1, An,n =τ. 2ξF′n. (24). This is easily and rapidly inverted by back-substitution.
  14. Efficient boundary integral solution for acoustic wave scattering by…

    www.damtp.cam.ac.uk/user/ms100/PAPERS/arxiv1407.5560v1.pdf
    13 Dec 2018: elements. (Bn)mj = Anmnj. (24). We thus require. bn = B1n cn (25). ... from rough surfaces, Waves in Random Media, 6, 151-167 (1996). [24] A.A.
  15. The Computational Spectral Problem and a New Classification Theory…

    www.damtp.cam.ac.uk/user/mjc249/talks/SCI_colbrook_berkeleytalk.pdf
    16 Nov 2018: Doyle and C. McMullen [24]: “But can be solved in the case ofthe quartic and the quintic using several limits (towers of generallyconvergent iterative maps linked serially).”. ... P. Doyle and C. McMullen [24]: “But can be solved in the case ofthe
  16. statphys

    www.damtp.cam.ac.uk/user/tong/statphys/four.pdf
    31 Dec 2018: V. A. B. Path I. Path II. Figure 24:. underline the meaning of the new symbol d. ... energy gives us,. @S. @V. T. =@p. @T. V. (4.24). The Gibbs free energy gives us.
  17. Vortices, Painlevé integrability andprojective geometry Felipe…

    www.damtp.cam.ac.uk/user/md327/felipe_thesis.pdf
    3 Apr 2018: with (2.17).Finally, equation (2.24) is satisfied upon eliminating fww in the sameway and using w. ( ... 24. motion of N-vortices. There are several ways to obtain the metric forboth flat and curved backgrounds [46, 16].
  18. Quantum Field Theory II University of Cambridge Part III ...

    www.damtp.cam.ac.uk/user/dbs26/AQFT/chap1.pdf
    19 Jan 2018: absolutely impossible for a course of 24 lectures to do so). ... showing that the quantity. =. Z. N dd1x (1.24). is conserved under evolution via the classical equations.
  19. PHYSICAL REVIEW FLUIDS 2, 123101 (2017) Bundling of elastic ...

    www.damtp.cam.ac.uk/user/lauga/papers/143.pdf
    11 Jan 2018: coli) [24], and also Salmonella typhimurium [23], Halobacteriumsalinarium [25], and Bacillus subtilis [26] [see Fig. ... 24). The terms on the left-hand side can be simplified by noting that.
  20. Time integration Issues I AccuracyI Cost I CPU = ...

    www.damtp.cam.ac.uk/user/hinch/teaching/CMIFM_Lectures/TS.pdf
    10 Oct 2018: AM4 Adams-Moulton, 4th order, implicit. un1 = un t. 24(9Fn1 19Fn 5Fn1 Fn2).
  21. 13 Dec 2018: T-•=Tg'(1--To •AT Tg:A •. ) (24) so that. E = (2 - 4At 8A•. ... 2. It is easy and computationally inexpensive to take further terms in the se- ries (24).
  22. On asymptotic structure in compressed sensingBogdan Roman ∗, Ben ...

    www.damtp.cam.ac.uk/research/afha/anders/Asymptotic_10a.pdf
    24 Jul 2018: 512. 512. Err 6.01%Err 6.01%. 1024. 10. 24. Err 3.60%Err 3.60%. ... This can be coupled with hidden Markov treesto model the wavelet structure, such as in the Bayesian CS (22, 23)and TurboAMP (24) algorithms.
  23. ARTICLES Hydrodynamics of monolayer domains at the air–water…

    www.damtp.cam.ac.uk/user/gold/pdfs/monolayer.pdf
    8 Aug 2018: capillary waves in thepresence of coexisting monolayer phases.24 The more gen-eral treatment of boundary motion applicable to a domain ofany shape has, however, remained an open problem of ... un5 24. ph8. n2. 4n221fn unu>2!, 35! when the subfluid
  24. 14 May 2018: 7.24). where we’ve used the fact that, in a local trivialization, the covariant derivative acts.
  25. doi:10.1016/j.ecss.2007.09.029

    www.damtp.cam.ac.uk/user/ms100/PAPERS/Karunarathna_et_al_2008.pdf
    13 Dec 2018: The estuary receives water from a catchment coveringan area of 24,000 km2 and is the largest freshwater supplier to theNorth Sea. ... 0.0. 5.0. 10.0. 15.0. x (km. ). y (km) -30-28-26-24-22-20-18-16-14-12-10-8-6-4-20. 1925 1936.
  26. 1 Nov 2018: 24 –. the commutator of the generator with the operator. ... U (b) U (a) = U (b a) = U (a b) = U (a) U (b) , (4.24).
  27. On asymptotic structure in compressed sensingBogdan Roman ∗, Ben ...

    www.damtp.cam.ac.uk/research/afha/people/anders/Asymptotic_10a.pdf
    24 Jul 2018: 512. 512. Err 6.01%Err 6.01%. 1024. 10. 24. Err 3.60%Err 3.60%. ... This can be coupled with hidden Markov treesto model the wavelet structure, such as in the Bayesian CS (22, 23)and TurboAMP (24) algorithms.
  28. J. Fluid Mech. (2018), vol. 856, pp. 921–957. c© ...

    www.damtp.cam.ac.uk/user/lauga/papers/152.pdf
    19 Oct 2018: 2.24). Notably, this expression can be simplified into. s0 =sb(rc) r s(.
  29. Microbial mutualism at a distance: The role of geometry in diffusive…

    www.damtp.cam.ac.uk/user/gold/pdfs/mutualism.pdf
    27 Feb 2018: Resource-explicit models of bacterial mutualismscompare well with experiments in which mutualists are wellmixed [5,6,23,24].
  30. Collective dissolution of microbubbles

    www.damtp.cam.ac.uk/user/lauga/papers/145.pdf
    18 Apr 2018: Note that this second casepresents many formal similarities with the dissolution process of droplets [22], their evaporation[23], and even dissolving solids [24]. ... 2)P ′n(μ), (24). Un(η) = An cosh(n 12. )η Bn sinh.
  31. Magnus–Lanczos methods with simplified commutators for the…

    www.damtp.cam.ac.uk/user/na/NA_papers/NA2018_01.pdf
    3 Apr 2018: h7), (2.23). Magnus–Lanczos methods with simplified commutators 15. where. ϕ1(h,ζ,ξ) = h2 4hξ 2ζξ, (2.24).
  32. statphys

    www.damtp.cam.ac.uk/user/tong/statphys/three.pdf
    31 Dec 2018: 23. 1. z. 4p2+. (3.24). The next part’s a little fiddly. ... 1. 1. 2p2. 3N. V+. which we then substitute into (3.24) to get.
  33. 1 Foundations of statistical physics 1.1 Density operators In ...

    www.damtp.cam.ac.uk/user/hsr1000/stat_phys_lectures.pdf
    26 Jan 2018: S k log G = kαN log E const. (1.24). and hence.
  34. Resumé of lecture 2 Driven Cavity in ψ–ω formulation. ...

    www.damtp.cam.ac.uk/user/hinch/teaching/GIAMLectures/Intro3.pdf
    1 Feb 2018: Set t = 0.2Rex2. Plot ω(0.5, 0.5, 1) at Re = 10for N = 10, 12, 14, 16, 18, 20, 24 and 28. ... Accuracy consistence. b. Overall O(x2). Set t = 0.2Rex2. Plot ω(0.5, 0.5, 1) at Re = 10for N = 10, 12, 14, 16, 18, 20, 24 and 28.
  35. Efficient boundary integral solution for acousticwave scattering by…

    www.damtp.cam.ac.uk/user/ms100/PAPERS/acoust3d_eabe_b.pdf
    13 Dec 2018: 2.1. Formal solution and splitting series. The method of solution is analogous to that applied to the electromagneticproblem in 2-d or 3-d [23, 24]. ... 24] M. Spivack, J. Ogilvy, C. Sillence, Electromagnetic scattering by large com-plex scatterers in 3d,
  36. Statistical moments for rough surface scatter from two-way parabolic…

    www.damtp.cam.ac.uk/user/ms100/PAPERS/pebacksc-JModOpt.pdf
    13 Dec 2018: As an illustration of the method, Figure 1 shows comparisons between the firstand second iterations of the operator series with ’exact’ computations from (24 ),restricted to the rough portion of the ... αr r′. = f(r,r′) (24). the expression (23)
  37. 16 Jul 2018: Phys. Fluids 24, 061901 (2012). 18. Lauga, E. Bacterial hydrodynamics. Annu. ... 24. Johnson, R. E. An improved slender-body theory for Stokes flow.
  38. 22 Jan 2018: and slender-body theory (SBT)24,25 to model the flow induced by the rotating flagellar filamentsof the trapped bacteria. ... Mater. 24, 811–816 (2012).33X. Chen and H. C. Berg, “Torque-speed relationship of the flagellar rotary motor of Escherichia
  39. Metrisability of Painlevé equations

    www.damtp.cam.ac.uk/user/md327/cd18.pdf
    10 Mar 2018: A different approach was developed by Painlevé, Kowalevskaya, and Gambier who studied 2ndorder ODEs in the complex domain.16,24. ... Proc. Cambridge Philos. Soc. 156, 99–113. (2014).24 Painlevé, P., “Sur les équations différentielles du
  40. Time integration Issues I AccuracyI Cost I CPU = ...

    www.damtp.cam.ac.uk/user/hinch/teaching/GIANHandouts/L12TShandout.pdf
    19 Jan 2018: AM4 Adams-Moulton, 4th order, implicit. un1 = un t. 24(9Fn1 19Fn 5Fn1 Fn2).
  41. Resumé of lecture 2 Driven Cavity in ψ–ω formulation. ...

    www.damtp.cam.ac.uk/user/hinch/teaching/CMIFM_Handouts/Intro3handout.pdf
    28 Sep 2018: Set t = 0.2Rex2. Plot ω(0.5, 0.5, 1) at Re = 10for N = 10, 12, 14, 16, 18, 20, 24 and 28.
  42. The Computational Spectral Problem and a New Classification Theory…

    www.damtp.cam.ac.uk/user/mjc249/talks/SCI_colbrook_cornelltalk.pdf
    11 Nov 2018: Amer. Math. Soc., 24(1):81–124, 2011. Introduction Schrödinger and PDEs Discrete operators Numerical Example Conclusion Definitions. ... Solvability Complexity Index (SCI) [24, Hansen, JAMS]. is some set, called the primary set,.
  43. Quantum Field Theory: Example Sheet 3Michaelmas 2018, Mathematical…

    www.damtp.cam.ac.uk/user/bca20/restricted/toTutors/qft-3.pdf
    27 Nov 2018: dt〈dσdt. 〉. (8.24). Since all external particles are identical, the ingoing and outgoing momenta for the first nucleon can bewritten as pµ1 = (E, p) and p′1µ = (E, p′) in
  44. Resumé of lecture 2 Driven Cavity in ψ–ω formulation. ...

    www.damtp.cam.ac.uk/user/hinch/teaching/CMIFM_Lectures/Intro3.pdf
    28 Sep 2018: Set t = 0.2Rex2. Plot ω(0.5, 0.5, 1) at Re = 10for N = 10, 12, 14, 16, 18, 20, 24 and 28. ... Accuracy consistence. b. Overall O(x2). Set t = 0.2Rex2. Plot ω(0.5, 0.5, 1) at Re = 10for N = 10, 12, 14, 16, 18, 20, 24 and 28.
  45. Evaporation-driven convective flows in suspensions of nonmotile…

    www.damtp.cam.ac.uk/user/gold/pdfs/evapoconvection.pdf
    28 Dec 2018: checked in a 24-hour period, finding that thetemperature was 21.5 0.5 C and humidity was 38 2%. ... Tbase O(h20/D. ) O (103 ) minutes. (24)for h0 = 0.01 m and D = 1 109 m2/s.
  46. 30 Nov 2018: 9. 5a2λ4′4. }. Eh3. 24(1 ν2 ){K 2s K 2φ 2νKs Kφ 3κ 0s. ... In fact, Ueki and Nishii [24] studied the InvB mutant ofVolvox carteri in which the embryonic vesicle fails to growproperly during development.
  47. Coherent Field and Specular Reflection At Grazing Incidence on a…

    www.damtp.cam.ac.uk/user/ms100/PAPERS/JASA94spec.pdf
    13 Dec 2018: 0 Zl ( (•(x,zi))=--• Do(X)-- likzi cos 0 --• COS 2 0 eikXx+ h(x)• ,. (24). where • is the variance of the surface height. Here we have neglected an O(a ... 29) Collecting terms, and using (25), (26), and (29), Eq. (24) can now be written. ( {•
  48. Sound propagation in an irregular two-dimensional waveguideMark…

    www.damtp.cam.ac.uk/user/ms100/PAPERS/JASA97.pdf
    13 Dec 2018: and7!:. cr! 5 ESFG r;r8! ]c]z r8!2 ]G]z r;r8!cr8!Gdx8,. 24! where againr85[x8,S(x8)], and S is the union of the sur-facesh1
  49. 132. D. Weigent, J. Blalock, R. LeBoeuf, Endocrinol-ogy 128, ...

    www.damtp.cam.ac.uk/user/gold/pdfs/labyrinthine_science.pdf
    8 Aug 2018: The fingering of several branched struc-tures obtained from a conformal mappingapproach (16, 24) to the Hele-Shaw dy-namics is shown in Fig. ... M.McConnell, J. Phys. Chem. 96, 3167 (1992). 24. See, for example, D.
  50. Rough surface backscatter and statistics via extended parabolic…

    www.damtp.cam.ac.uk/user/ms100/PAPERS/arXiv1408.1879.pdf
    13 Dec 2018: By (24),〈h(X). I(r). r. 〉=. 〈h(X). d. dr. r0. ikh(r′) cos θeikSr. ′. ... 24] P. Tran, Calculation of the scattering of electromagnetic waves from a two-dimensional per-fectly conducting surface using the method of ordered multiple interaction,
  51. Quantum Field Theory: Example Sheet 2Michaelmas 2018, Mathematical…

    www.damtp.cam.ac.uk/user/bca20/restricted/toTutors/qft-2.pdf
    27 Nov 2018: iλ4! )2(24). d4xd4y 4F (xy). (7.6). To count the combinatorial factor of 24, start by choosing one leg on the bottom vertex (it doesn’tmatter which, since they are ... For n = 2, we get P2 = 105,and we also have 24 72 9 = 105.

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