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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 20, Cambridge Univ. Press (2011). A. Iserles (ed.), Acta Numerica 19, Cambridge Univ. -
Anders Christian Hansen University of CambridgeDAMTPCambridge,…
www.damtp.cam.ac.uk/research/afha/people/anders/CV_Dec_2018.pdf6 Dec 2018: 2017-present (Assistant professor since 2013). Professor of Mathematics (20% position)University of Oslo, Norway2014-present. -
David Tong: Strongly Coupled Systems
www.damtp.cam.ac.uk/user/tong/erc.html30 May 2018: 20] Holographic Q-Lattices. JHEP 1404 (2014) 040 arXiv:1311.3292 [hep-th]. Aristos Donos and Jerome Gauntlett. -
Topics in Convex Optimisation (Michaelmas 2018) Lecturer: Hamza Fawzi …
www.damtp.cam.ac.uk/user/hf323/M18-OPT/lecture13.pdf13 Nov 2018: Q =. . q00,00 q00,10 q00,01 q00,20 q00,11 q00,02q10,10 q10,01 q10,20 q10,11 q10,02. ... q01,01 q01,20 q01,11 q01,02q20,20 q20,11 q20,02. q11,11 q11,02q02,02. . (2). 2. -
On asymptotic structure in compressed sensingBogdan Roman ∗, Ben ...
www.damtp.cam.ac.uk/research/afha/anders/Asymptotic_10a.pdf24 Jul 2018: Compressive Imaging (CI), U = ΨHadΦdwt 256256 @ 12.5%. MRI, U = ΨdftΦdwt 10241024 @ 20%. ... S1: Best for 256x256. S2: Best for 2048x2048. 6.73%7.30%. 21.3%20.5%. Recovery error. -
✿ ✳ ✳ ✿ ✳ ✳✹✹ ✹✹ ✿ ✳ ...
www.damtp.cam.ac.uk/user/mem/papers/LHCE/nothing.pdf7 Oct 2018: cresc. 1. 15. 20. 25. 30. ❲ ❲ ❲❲ ❲❲ ❲ ❲ ❲ ❲ ❲ ❲ ❲. ❲ ❲ ❲ ❲ ❲ ❲ ❲ ❲ ❲ ❲ ❲ ❲ ❲ ❲. ❲❲ ❲ ❲ ❲ ❲ ❲ ❲ ❲ ❲ ❲ ❲ ❲ ❲ ❲ ❲ ❲ ❲ ❲ ❲ ❲ ❲ ❲ ❲. ❲ ❲ ❲ ❲ ❲ -
Resumé of lecture 2 Driven Cavity in ψ–ω formulation. ...
www.damtp.cam.ac.uk/user/hinch/teaching/CMIFM_Handouts/Intro3handout.pdf28 Sep 2018: 2nd order BC for ω0 with Re = 10 and N = 10, 14 and 20. ... 1. u. x. N=10. 14. 20. 28. 40. Agree to visual accuracy. -
Computational Methods in Fluid Mechanics, Lecture 2
www.damtp.cam.ac.uk/user/hinch/teaching/CMIFM_Handouts/Intro2handout.pdf31 Jan 2018: 0.6. 0.8. 1. 1.2. 0 10 20 30 40 50 60 70 80. ... psi. iteration. 1.01.7. 1.751.8. For N = 20 Gauss-Seidel needs 500 iterations,whereas SOR with optimal r 1.75 needs 20. -
Why Clothes Don’t Fall Apart: Tension Transmission in Staple Yarns
www.damtp.cam.ac.uk/user/gold/pdfs/yarns.pdf13 Apr 2018: As a sanity check forcotton, μ 0.3–0.4 [4,5], and thus, hΘi 20. ... 20] M. Abramowitz and I. A. Stegun, Handbook of MathematicalFunctions (Dover, New York, 1965). -
Left-right splitting for electromagnetic scatteringin 3D M. Spivack,…
www.damtp.cam.ac.uk/user/ms100/PAPERS/ProcIEE_edit.pdf13 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 -
Resumé of Part 1 Solve driven cavity at Re ...
www.damtp.cam.ac.uk/user/hinch/teaching/CMIFM_Handouts/FDhandout.pdf31 Jan 2018: with N = 10, 14, 20, 40 and 56. 2e-05. 4e-05. ... Error decreasing as 0.27x4,i.e N = 20 gives 2 106 cf 2 103 for 2nd order. -
Resumé: Driven cavity, ψ–ω formulation Poisson problem: ∇2ψ = ...
www.damtp.cam.ac.uk/user/hinch/teaching/CMIFM_Handouts/Intro4handout.pdf11 Oct 2018: Error is satisfying u = 0 (N = 20) as function of t. ... u. x. N=302014. s-w, 28. Re = 10 and N = 14, 20 and 30.Also result from ψ ω formulation at N = 28. -
The Computational Spectral Problem and a New Classification Theory…
www.damtp.cam.ac.uk/user/mjc249/talks/SCI_colbrook_berkeleytalk.pdf16 Nov 2018: Zworski[20, 21]. Introduction Schrödinger and PDEs Discrete operators Numerical Examples Conclusion Definitions. -
Sound propagation in an irregular two-dimensional waveguideMark…
www.damtp.cam.ac.uk/user/ms100/PAPERS/JASA97.pdf13 Dec 2018: 1997 Acoustical Society of America.@S0001-496697!03703-X#. PACS numbers: 43.20.Fn, 43.20.Mv, 43.30.Hw@ANN#. nsemismiceThthaceinionti-. ... An5an ,bn!, Cn5cn ,dn!, 20! wherean , bn , cn , dn are given by11! -
Quantum Field Theory II University of Cambridge Part III ...
www.damtp.cam.ac.uk/user/dbs26/AQFT/chap1.pdf19 Jan 2018: 2.2 Free field theory 14. 2.3 Perturbation theory 17. 2.3.1 Feynman diagrams 20. ... D eS[]/. (1.20). evaluates the map acting on |'0i 2 H and ending on |'1i 2 H. -
15320956277210 1..9
www.damtp.cam.ac.uk/user/gold/pdfs/resultsresults.pdf20 Jul 2018: this issue was aired more than 20 years ago by. Adrian Parsegian and Robert Austin (Parse-. -
Nonlinear NonmodalStability Theory R. R. Kerswell,School of…
www.damtp.cam.ac.uk/user/rrk26/Papers/ARFM.pdf8 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 -
Spectral computation of highly oscillatory integral equations in…
www.damtp.cam.ac.uk/user/na/NA_papers/NA2018_04.pdf2 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 -
Magnus–Lanczos methods with simplified commutators for the…
www.damtp.cam.ac.uk/user/na/NA_papers/NA2018_01.pdf3 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 -
On asymptotic structure in compressed sensingBogdan Roman ∗, Ben ...
www.damtp.cam.ac.uk/research/afha/people/anders/Asymptotic_10a.pdf24 Jul 2018: Compressive Imaging (CI), U = ΨHadΦdwt 256256 @ 12.5%. MRI, U = ΨdftΦdwt 10241024 @ 20%. ... S1: Best for 256x256. S2: Best for 2048x2048. 6.73%7.30%. 21.3%20.5%. Recovery error. -
7 Non–Abelian Gauge Theory: Classical Aspects Perhaps the single ...
www.damtp.cam.ac.uk/user/dbs26/AQFT/chap7.pdf14 May 2018: 2Fµ dx. µ dx(7.20). where Fµ are the curvature components. Recall that AU is a matrix–valued 1-form, so. -
statphys
www.damtp.cam.ac.uk/user/tong/statphys/four.pdf31 Dec 2018: G = F pV = E pV TS (4.20). This is a Legendre transform of F , this time swapping volume for pressure: G = G(T, p). ... already seen in Section 1.4.1. From its definition (4.20), we see that the Gibbs free. – -
ARTICLES Hydrodynamics of monolayer domains at the air–water…
www.damtp.cam.ac.uk/user/gold/pdfs/monolayer.pdf8 Aug 2018: Received 1 September 1995; accepted 20 December 1995! Molecules at the air–water interface often form inhomogeneous layers in which domains ofdifferent densities are separated by sharp interfaces. ... Hr! 5p. 2r2lnr! 20! and. Gij r! 5 2 d i j lnr! -
Vortices, Painlevé integrability andprojective geometry Felipe…
www.damtp.cam.ac.uk/user/md327/felipe_thesis.pdf3 Apr 2018: N =1. 2π. Σ. f. (2.20). This is an integer equal to the first Chern number of the vortex linebundle L Σ, and we shall assume that this integer is ... N,. where N is the vortex number defined by (2.20). If the vortex equations(2.16) and (2.17) are -
132. D. Weigent, J. Blalock, R. LeBoeuf, Endocrinol-ogy 128, ...
www.damtp.cam.ac.uk/user/gold/pdfs/labyrinthine_science.pdf8 Aug 2018: LILO within the domain is uniform (20), butaccount for the energy associated with the. ... When NBo. 40. 30. 5=.520 So 20. 10e 10. 100 101 102 103 104dH/dt (gaussas). -
Efficient boundary integral solution for acoustic wave scattering by…
www.damtp.cam.ac.uk/user/ms100/PAPERS/arxiv1407.5560v1.pdf13 Dec 2018: heightλ/20. most surface geometries, and can easily be reduced further with higher order. ... 20. 1 Introduction. 2 Formulation of equations. 2.1 Formal solution and splitting series. -
paper.dvi
www.damtp.cam.ac.uk/user/ms100/PAPERS/ICSC2004.pdf13 Dec 2018: 3. The query condition is set as querying“Peak wave number” with the condition “< 20.0” througha Web form shown in Fig. -
Spectral methods – a quick review For very simple ...
www.damtp.cam.ac.uk/user/hinch/teaching/CMIFM_Handouts/SPhandout.pdf19 Oct 2018: I only 3 modes per wave for 1% accuracy. cf FD 40 pts at O(x2), 20 pts at O(x4). -
Efficient boundary integral solution for acousticwave scattering by…
www.damtp.cam.ac.uk/user/ms100/PAPERS/acoust3d_eabe_b.pdf13 Dec 2018: Retaining just the first term in the iterative series (11),. ψ = L1ψinc, (20). ... height λ/20. Figure 7: Real part of surface field on waveguide at two frequencies. -
Metrisability of Painlevé equations
www.damtp.cam.ac.uk/user/md327/cd18.pdf10 Mar 2018: In the recent work,20 some connections between the Painlevé property and Lie point sym-metries have been uncovered. ... Nonlinear Math. Phys. 20, 110 (2013).19 Koenigs, M. G., Sur les Géodesiques a Intégrales Quadratiques. -
The Computational Spectral Problem and a New Classification Theory…
www.damtp.cam.ac.uk/user/mjc249/talks/SCI_colbrook_cornelltalk.pdf11 Nov 2018: Zworski [20, 21]. Introduction Schrödinger and PDEs Discrete operators Numerical Example Conclusion Definitions. -
J. Fluid Mech. (2018), vol. 856, pp. 921–957. c© ...
www.damtp.cam.ac.uk/user/lauga/papers/152.pdf19 Oct 2018: Bl =3κ1R2sy2(l1)Ds. (σl1. 2l3. σl1. 2l1. ). (2.33). Since the first-order product problem (2.20) is the same as the first-order substrateproblem (2.19), except for a ... γ =. k=1. k(. (2k 1)!(2k 1)(2k 2)! )20.0336. (2.54). Our result for UJanus -
Orthogonal systems with a skew-symmetric differentiation matrix Arieh …
www.damtp.cam.ac.uk/user/na/NA_papers/NA2018_02.pdf17 Apr 2018: measuredµ(ξ) = |ξ|2ηeξ. 2. dξ, ξ R. 20. They obey the three-term recurrence relation. -
160283
www.damtp.cam.ac.uk/user/mem/mcintyre-multi-level-aas17.pdf16 Jun 2018: Received 21 November 2016; revised 19 January 2017; accepted 20 January 2017). -
statphys
www.damtp.cam.ac.uk/user/tong/statphys/two.pdf31 Dec 2018: Zvib =1. 2. Zddpe. Hvib =kBT! (2.20). The average vibrational energy of each molecule is now. -
SOUND PROPAGATION OVER ARBITRARY SURFACES WITH VARYING IMPEDANCE
www.damtp.cam.ac.uk/user/ms100/PAPERS/icsv13_2.pdf13 Dec 2018: ψ̃ = (C′0 C′1)(C0 C1)1ψinc, (20). and then solving as before and comparing terms with (19). -
1 of 7 978-1-4244-2677-5/08/$25.00 ©2008 IEEE FAILURE PREDICTION AND…
www.damtp.cam.ac.uk/user/ms100/PAPERS/IEEE-Bayesian2008.pdf13 Dec 2018: Similarly, if we observed that the HPA fails 20% of the time when the cathode current is trending, we would set. -
3 QFT in one dimension (= QM) In one ...
www.damtp.cam.ac.uk/user/dbs26/AQFT/chap3.pdf12 Feb 2018: CS1. Dx eS/ , (3.20). 29In flat space, the heat kernel (3.9) obeys KT (y, y) = KT (0, 0) so is independent of y. -
Preprint typeset in JHEP style - PAPER VERSION Easter ...
www.damtp.cam.ac.uk/user/examples/B6La.pdf19 Sep 2018: 5. Functionals and the Euler-Lagrange equation 20. 5.1 Geodesics of the Euclidean plane 22. ... 20 –. for the integral (a real number) does depend on the function y. -
1 Foundations of statistical physics 1.1 Density operators In ...
www.damtp.cam.ac.uk/user/hsr1000/stat_phys_lectures.pdf26 Jan 2018: T=. (S. E. )V,N. (1.20). where the subscript denotes that V,N are held fixed when we take the partial derivative. ... pi = 1 (1.67). Part 2 Statistical Physics January 26, 2018 20 H.S. -
Advanced Quantum Field Theory Lent Term 2013 Hugh Osborn ...
www.damtp.cam.ac.uk/user/examples/3P5a.pdf23 Jan 2018: In fact, the result. K0(q,q′;t) := ⟨q|exp(i p̂. 2. 2mt)|q′⟩ (1.20). ... 2.21). 19Green, George (1793-1841)20Fourier, Joseph (1768-1830). 20. So the equation that you then get is. -
Numerical Solution of Scattering From a Hard Surface in a Medium with …
www.damtp.cam.ac.uk/user/ms100/PAPERS/JASA93.pdf13 Dec 2018: H2(x,z;x',z')dx' r. --actF(x,x,)B 3/2 exp{ikh '(x•) [z- h(x,) ]}. (20). where C and Sare again the cosine and sine Fresnel integrals, ... 0.02•. 0.015. 0.0•5. 0.0•0. (al a. 0.25. 8.20. 0.15. 0.0•. I. -
6 Symmetries in Quantum Field Theory Physics of the ...
www.damtp.cam.ac.uk/user/dbs26/AQFT/chap6.pdf14 May 2018: car (x). Z. Mdar b(x, y). b(y) ddy. (6.20). for some coecients {car (x), dar b(x, y)} with60 d = e(0) P. -
8 Non-Abelian Gauge Theory: Perturbative Quantization We’re now ready …
www.damtp.cam.ac.uk/user/dbs26/AQFT/chap8.pdf14 May 2018: a. (f a(x)) (8.20). 77Again, it’s a good idea to check you’re comfortable with this assertion by writing x0. -
Coherent Field and Specular Reflection At Grazing Incidence on a…
www.damtp.cam.ac.uk/user/ms100/PAPERS/JASA94spec.pdf13 Dec 2018: d f•: k2h2(x,)cos2 0 I2(x) - e&Sx '. 2a•x_x,•x', (20) and. ... k3 O)dkxS] --k2h(x)cos 20--i-•- h2(x)cos 3. (23) We must now find the mean of. •. -
Statistical moments for rough surface scatter from two-way parabolic…
www.damtp.cam.ac.uk/user/ms100/PAPERS/pebacksc-JModOpt.pdf13 Dec 2018: 21). Now from eq. (20). E(X,x) =〈h(X). α2π. d. dx. ... Soc. Lond. A 446 (1994) 1-20. (12) C. Qi, Z. Zhao, W. -
Thisis asupe rvisor’s copy oftheno tes. Pleasedo notdistribu teto ...
www.damtp.cam.ac.uk/user/sjc1/teaching/CATAM/notes.pdf26 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 -
Infinite dimensional spectral computations & linear algebra:…
www.damtp.cam.ac.uk/user/mjc249/talks/IQR_seminar_matt.pdf30 May 2018: spectrum. Example 1. 0 10 20 30 40 50 60 70 8010 -15. ... 10 -10. 10 -5. 0 10 20 30 40 50 60 70 80n. -
Time Irreversibility and Criticality in the Motility of a Flagellate…
www.damtp.cam.ac.uk/user/gold/pdfs/gaitswitch.pdf3 Aug 2018: Thus, Ṡ quanti-fies the lack of detailed balance in the nonequilibrium steadystate, which, as reported elsewhere [20], depends on envi-ronmental conditions, emphasizing the need to account ... 19] J. Schnakenberg, Rev. Mod. Phys. 48, 571 (1976).[20] K. -
PREDICTION OF LONG-TERM COASTAL EVOLUTIONUSING MOMENT EQUATIONS D.E.…
www.damtp.cam.ac.uk/user/ms100/PAPERS/CoastalDyn01.pdf13 Dec 2018: Fig. 1 showsthis comparison for the rectangular beach profile above. The beach is straightapart from a ‘top-hat’ protrusion of 20 m seawards, over a length of 1000 m.
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