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Publications: Edited Volumes A. Iserles (ed.), Acta Numerica 27, ...
www.damtp.cam.ac.uk/user/na/people/Arieh/Arieh_Iserles/Edited.html23 May 2018: Iserles (ed.), Acta Numerica 24, Cambridge Univ. Press (2015). A. Iserles (ed.), Acta Numerica 23, Cambridge Univ. -
David Tong: Strongly Coupled Systems
www.damtp.cam.ac.uk/user/tong/erc.html30 May 2018: David Tong and Kenny Wong. [24] The Holographic Dual of AdS3 x S3 x S3 x S1. -
Our local environment and theeconomy Why nature needs to ...
www.damtp.cam.ac.uk/user/pvl/nature/workshop.pdf25 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 -
Time integration Issues I AccuracyI Cost I CPU = ...
www.damtp.cam.ac.uk/user/hinch/teaching/GIAMLectures/L12TS.pdf5 Feb 2018: AM4 Adams-Moulton, 4th order, implicit. un1 = un t. 24(9Fn1 19Fn 5Fn1 Fn2). -
Time integration Issues I AccuracyI Cost I CPU = ...
www.damtp.cam.ac.uk/user/hinch/teaching/GIANHandouts/L12TS.pdf4 Feb 2018: AM4 Adams-Moulton, 4th order, implicit. un1 = un t. 24(9Fn1 19Fn 5Fn1 Fn2). -
Resumé of lecture 2 Driven Cavity in ψ–ω formulation. ...
www.damtp.cam.ac.uk/user/hinch/teaching/GIANHandouts/Intro3handout.pdf1 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. -
Time Irreversibility and Criticality in the Motility of a Flagellate…
www.damtp.cam.ac.uk/user/gold/pdfs/gaitswitch.pdf3 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. -
PII: 0893-9659(90)90021-3
www.damtp.cam.ac.uk/user/ms100/PAPERS/AppMathLett90.pdf13 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 -
Why Clothes Don’t Fall Apart: Tension Transmission in Staple Yarns
www.damtp.cam.ac.uk/user/gold/pdfs/yarns.pdf13 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 -
Autophoretic motion in three dimensions
www.damtp.cam.ac.uk/user/lauga/papers/146.pdf19 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 -
Physics of Bubble‐Propelled Microrockets
www.damtp.cam.ac.uk/user/lauga/papers/148.pdf19 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. -
Recovery of a Variable Coefficient in a Coastal Evolution Equation
www.damtp.cam.ac.uk/user/ms100/PAPERS/JCP99.pdf13 Dec 2018: F′n1, An,n =τ. 2ξF′n. (24). This is easily and rapidly inverted by back-substitution. -
DAMTP/90-2, corrected Analogs for the c-Theorem for Four Dimensional…
www.damtp.cam.ac.uk/user/ho/analogs.pdf16 Aug 2018: X δ. δMSqo =. [ψ̄Xψ. ], X† = X , Jµα =. δ. δAψµαSqo =. [ψ̄γµTαψ. ]. (4.24). As a consequence of invariance under (4.21), for η = η̄ = 0,. ... S̃(1)o =1. 16π2ε. ((nV 2nF ). 1. 180(3F G) 1. 24(2nV nF )RαβγδRαβγδ. -
Efficient boundary integral solution for acoustic wave scattering by…
www.damtp.cam.ac.uk/user/ms100/PAPERS/arxiv1407.5560v1.pdf13 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. -
The Computational Spectral Problem and a New Classification Theory…
www.damtp.cam.ac.uk/user/mjc249/talks/SCI_colbrook_berkeleytalk.pdf16 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 -
statphys
www.damtp.cam.ac.uk/user/tong/statphys/four.pdf31 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. -
Vortices, Painlevé integrability andprojective geometry Felipe…
www.damtp.cam.ac.uk/user/md327/felipe_thesis.pdf3 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]. -
Quantum Field Theory II University of Cambridge Part III ...
www.damtp.cam.ac.uk/user/dbs26/AQFT/chap1.pdf19 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. -
Time integration Issues I AccuracyI Cost I CPU = ...
www.damtp.cam.ac.uk/user/hinch/teaching/CMIFM_Lectures/TS.pdf10 Oct 2018: AM4 Adams-Moulton, 4th order, implicit. un1 = un t. 24(9Fn1 19Fn 5Fn1 Fn2). -
PHYSICAL REVIEW FLUIDS 2, 123101 (2017) Bundling of elastic ...
www.damtp.cam.ac.uk/user/lauga/papers/143.pdf11 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. -
ARTICLES Hydrodynamics of monolayer domains at the air–water…
www.damtp.cam.ac.uk/user/gold/pdfs/monolayer.pdf8 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 -
On asymptotic structure in compressed sensingBogdan Roman ∗, Ben ...
www.damtp.cam.ac.uk/research/afha/anders/Asymptotic_10a.pdf24 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. -
7 Non–Abelian Gauge Theory: Classical Aspects Perhaps the single ...
www.damtp.cam.ac.uk/user/dbs26/AQFT/chap7.pdf14 May 2018: 7.24). where we’ve used the fact that, in a local trivialization, the covariant derivative acts. -
doi:10.1016/j.ecss.2007.09.029
www.damtp.cam.ac.uk/user/ms100/PAPERS/Karunarathna_et_al_2008.pdf13 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. -
4 Transformations and Symmetries While classical physics is firmly ...
www.damtp.cam.ac.uk/user/dbs26/PQM/chap4.pdf1 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). -
On asymptotic structure in compressed sensingBogdan Roman ∗, Ben ...
www.damtp.cam.ac.uk/research/afha/people/anders/Asymptotic_10a.pdf24 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. -
J. Fluid Mech. (2018), vol. 856, pp. 921–957. c© ...
www.damtp.cam.ac.uk/user/lauga/papers/152.pdf19 Oct 2018: 2.24). Notably, this expression can be simplified into. s0 =sb(rc) r s(. -
Microbial mutualism at a distance: The role of geometry in diffusive…
www.damtp.cam.ac.uk/user/gold/pdfs/mutualism.pdf27 Feb 2018: Resource-explicit models of bacterial mutualismscompare well with experiments in which mutualists are wellmixed [5,6,23,24]. -
Collective dissolution of microbubbles
www.damtp.cam.ac.uk/user/lauga/papers/145.pdf18 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. -
Magnus–Lanczos methods with simplified commutators for the…
www.damtp.cam.ac.uk/user/na/NA_papers/NA2018_01.pdf3 Apr 2018: h7), (2.23). Magnus–Lanczos methods with simplified commutators 15. where. ϕ1(h,ζ,ξ) = h2 4hξ 2ζξ, (2.24). -
statphys
www.damtp.cam.ac.uk/user/tong/statphys/three.pdf31 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. -
Resumé of lecture 2 Driven Cavity in ψ–ω formulation. ...
www.damtp.cam.ac.uk/user/hinch/teaching/GIAMLectures/Intro3.pdf1 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. -
Efficient boundary integral solution for acousticwave scattering by…
www.damtp.cam.ac.uk/user/ms100/PAPERS/acoust3d_eabe_b.pdf13 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, -
Statistical moments for rough surface scatter from two-way parabolic…
www.damtp.cam.ac.uk/user/ms100/PAPERS/pebacksc-JModOpt.pdf13 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) -
Swimming of peritrichous bacteria is enabled by an elastohydrodynamic …
www.damtp.cam.ac.uk/user/lauga/papers/151.pdf16 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. -
Metrisability of Painlevé equations
www.damtp.cam.ac.uk/user/md327/cd18.pdf10 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 -
Helical micropumps near surfaces Justas Dauparas, Debasish Das, and…
www.damtp.cam.ac.uk/user/lauga/papers/144.pdf22 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 -
Sound propagation in an irregular two-dimensional waveguideMark…
www.damtp.cam.ac.uk/user/ms100/PAPERS/JASA97.pdf13 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 -
Time integration Issues I AccuracyI Cost I CPU = ...
www.damtp.cam.ac.uk/user/hinch/teaching/GIANHandouts/L12TShandout.pdf19 Jan 2018: AM4 Adams-Moulton, 4th order, implicit. un1 = un t. 24(9Fn1 19Fn 5Fn1 Fn2). -
Numerical Solution of Scattering From a Hard Surface in a Medium with …
www.damtp.cam.ac.uk/user/ms100/PAPERS/JASA93.pdf13 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). -
Resumé of lecture 2 Driven Cavity in ψ–ω formulation. ...
www.damtp.cam.ac.uk/user/hinch/teaching/CMIFM_Handouts/Intro3handout.pdf28 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. -
The Computational Spectral Problem and a New Classification Theory…
www.damtp.cam.ac.uk/user/mjc249/talks/SCI_colbrook_cornelltalk.pdf11 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,. -
Resumé of lecture 2 Driven Cavity in ψ–ω formulation. ...
www.damtp.cam.ac.uk/user/hinch/teaching/CMIFM_Lectures/Intro3.pdf28 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. -
Coherent Field and Specular Reflection At Grazing Incidence on a…
www.damtp.cam.ac.uk/user/ms100/PAPERS/JASA94spec.pdf13 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. ( {• -
Embryonic inversion in Volvox carteri: The flipping and peeling of…
www.damtp.cam.ac.uk/user/gold/pdfs/lips.pdf30 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. -
Evaporation-driven convective flows in suspensions of nonmotile…
www.damtp.cam.ac.uk/user/gold/pdfs/evapoconvection.pdf28 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. -
132. D. Weigent, J. Blalock, R. LeBoeuf, Endocrinol-ogy 128, ...
www.damtp.cam.ac.uk/user/gold/pdfs/labyrinthine_science.pdf8 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. -
Rough surface backscatter and statistics via extended parabolic…
www.damtp.cam.ac.uk/user/ms100/PAPERS/arXiv1408.1879.pdf13 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, -
statphys
www.damtp.cam.ac.uk/user/tong/statphys/two.pdf31 Dec 2018: f(r) = eU(r) 1 (2.24). This is a nicer expansion parameter. -
Compact schemes for laser-matter interaction in Schrödinger equation …
www.damtp.cam.ac.uk/user/na/NA_papers/NA2018_03.pdf21 Apr 2018: 1Ṽ , (3.4). where V̂ is an O(h3). perturbation of Ṽ ,. V̂ = Ṽ h2. 24 (Ṽ )>(Ṽ ). (3.5). The overall order-four scheme is obtained by substituting the central ... 2. 24 (Ṽ )>(Ṽ )). Thus, a fourth-order compact splitting,. e16 ihε.
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