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The Halloween Documents
www.damtp.cam.ac.uk/user/mem/papers/LHCE/halloween.html19 Oct 2013: Halloween I:. Open Source Software -- A (New?) Development Methodology. -
Home Page of Prof. A.S. FOKAS
www.damtp.cam.ac.uk/user/tf227/18 Jan 2013: i) Linear Evolution PDEs. A.S. Fokas, A New Transform Method for Evolution PDEs, IMA J. ... Musslimani, On a New Nonlocal Formulation of Water Waves, J. Fluid Mechanics 562, 313-344 (2006). -
Dr Matthew Wingate - Research
www.damtp.cam.ac.uk/user/wingate/research.html9 Oct 2013: eventually see deviations and give indirect evidence for new physics. ... Since the creation of a Bose-Einstein condensate in a gas of alkali atoms, a new genre of versatile experiments has emerged. -
1. FLAVOUR CONSTRAINTS ON NEW PHYSICS . . . ...
www.damtp.cam.ac.uk/user/wingate/Part3Essay/2014flavourBSM.pdf12 Nov 2013: 1. FLAVOUR CONSTRAINTS ON NEW PHYSICS. Dr M B Wingate. The Standard Model appears, so far, to be a good description of experi-mental data. -
Nature News water snails
www.damtp.cam.ac.uk/user/lauga/papers/NatureNews.pdf26 Jul 2013: Published online 26 June 2008 | Nature | doi:10.1038/news.2008.915. News. How to walk on water. ... Philip Ball (/news/author/PhilipBall/index.html). Some water snails have an extraordinary way of getting around: they. -
www.damtp.cam.ac.uk/user/mem/papers/LHCE/dilnot-pat-analysis.txt
www.damtp.cam.ac.uk/user/mem/papers/LHCE/dilnot-pat-analysis.txt19 Oct 2013: DILNOT Patents regimes can be abused to block new ideas, not just to encourage them. ... Elizabeth Harding. HARDING Part of the difficulty is trying to fit an old law to new technology. -
Breaking the coherence barrier: asymptoticincoherence and asymptotic…
www.damtp.cam.ac.uk/user/abr28/AHPRSampta13.pdf5 Oct 2013: I. INTRODUCTION. In this paper we present a new mathematical frameworkfor overcoming the so-called coherence barrier in compressedsensing1. ... III. NEW CONCEPTS. In order to overcome the coherence barrier, we require threenew concepts. -
On a curious q-hypergeometric identity Maŕıa José…
www.damtp.cam.ac.uk/user/na/NA_papers/NA2011_09.pdf20 Feb 2013: Appl. Maths 4, 1-38. [4] Rainville, E.D. (1960), Special Functions, Macmillan, New York. -
Breaking the coherence barrier: asymptoticincoherence and asymptotic…
www.damtp.cam.ac.uk/research/afha/anders/AHPRSampta13.pdf5 Oct 2013: I. INTRODUCTION. In this paper we present a new mathematical frameworkfor overcoming the so-called coherence barrier in compressedsensing1. ... III. NEW CONCEPTS. In order to overcome the coherence barrier, we require threenew concepts. -
Breaking the coherence barrier: asymptoticincoherence and asymptotic…
www.damtp.cam.ac.uk/research/afha/bogdan/AHPRSampta13.pdf5 Oct 2013: I. INTRODUCTION. In this paper we present a new mathematical frameworkfor overcoming the so-called coherence barrier in compressedsensing1. ... III. NEW CONCEPTS. In order to overcome the coherence barrier, we require threenew concepts. -
doi:
www.damtp.cam.ac.uk/user/jneufeld/pubfiles/Pegler-2013-1.pdf4 Nov 2013: 2Faculty of Science, University of Bristol, Bristol BS8 1UH, UK3School of Mathematics and Statistics, University of New South Wales, Sydney 2052, Australia. ... In such configurations, a new featureof convergence towards states controlled by the -
From orthogonal polynomials on the unit circle to functional ...
www.damtp.cam.ac.uk/user/na/NA_papers/NA2013_06.pdf27 Jun 2013: From orthogonal polynomials on the unit circle to. functional equations via generating functions. Maŕıa José CanteroDepartamento de Matemática Aplicada and IUMA. Escuela de Ingenieŕıa y ArquitecturaUniversidad de Zaragoza. Spain&. Arieh -
Beyond consistent reconstructions: optimality and sharp bounds for…
www.damtp.cam.ac.uk/research/afha/anders/OptimalityFinal.pdf5 Oct 2013: accurate and robust) reconstruction? This question is not new, and there has been much interest in the last several decades in alternativereconstructions to those given by the Shannon Sampling Theorem. ... First, we establish new,sharp bounds for its -
Convergence theory for spectral deferred correction Anders C. Hansen, …
www.damtp.cam.ac.uk/research/afha/anders/Spectral.pdf5 Oct 2013: Abstract. In a recent article [2] Dutt, Greengard and Rohklin define two new methods of deferredcorrection. ... Springer-Verlag, Wien-New York, 1984. [2] A. Dutt, L. Greengard, and V. -
Viscous Control of Peeling an Elastic Sheet by Bending ...
www.damtp.cam.ac.uk/user/jneufeld/pubfiles/Lister-2013.pdf4 Nov 2013: For R Le there is aclear transition to a new regime because gravity can nolonger be neglected in the form of the interior solution. ... The flow enters a new regime in which thebending stresses in (1) can be neglected almost every-where, resulting in a -
REDUCED CONSISTENCY SAMPLING IN HILBERT SPACES Ben Adcock1, Anders ...
www.damtp.cam.ac.uk/research/afha/anders/AdcockHansenSampTA.pdf5 Oct 2013: Emails: ben adcock@sfu.ca, a.hansen@damtp.cam.ac.uk. ABSTRACTWe present a new approach for the problem of reconstructingan element of a Hilbert space in an arbitrary reconstruction basisgiven ... Marcel Dekker Inc., New York, 2001. [8] A. C. Hansen. -
Mathematics of Information Arieh Iserles, and Carola-Bibiane…
www.damtp.cam.ac.uk/user/na/NA_papers/NA2013_05.pdf2 Oct 2013: Much of this computation is new in kind, shifting the classicalcentre of gravity of numerical analysis. ... A significant proportion of information-heavy problems arises in areaswhich are new to the experience of mathematicians, e.g. -
Ultimate Regime of High Rayleigh Number Convection in a ...
www.damtp.cam.ac.uk/user/jneufeld/pubfiles/Hewitt-2012.pdf4 Nov 2013: Concomitantlyeach new protoplume is entrained back towards the largerestablished plume. This coupled mechanism of instabilityand entrainment leads to episodic and highly time-dependent patterns of plume growth and flushing. -
Fokas_Smitheman_Iserles.dvi
www.damtp.cam.ac.uk/user/na/NA_papers/NA2013_04.pdf23 May 2013: I[Pm](λ) =1. im. 2π. λJm+ 1. 2. (λ), (3.11). 9. gives the following new explicit representation for Bessel functions oforder half integer:. -
doi:
www.damtp.cam.ac.uk/user/jneufeld/pubfiles/Huppert-2013.pdf4 Nov 2013: 2Department of Mathematics, University of New South Wales, Sydney, New South Wales 2052, Australia3BP Institute, University of Cambridge, Bullard Laboratories, Madingley Road, Cambridge CB3 0EZ, UK. -
gl044728 1..5
www.damtp.cam.ac.uk/user/jneufeld/pubfiles/Neufeld-2010-2.pdf4 Nov 2013: We present a new analogue fluid system thatreproduces the convective behaviour of CO2‐enriched brine.Laboratory experiments and high‐resolution numericalsimulations show that the convective flux scales with theRayleigh number to ... Toanswer these -
Optimal wavelet reconstructions from Fourier samples viageneralized…
www.damtp.cam.ac.uk/research/afha/anders/samptaFinal.pdf5 Oct 2013: In other words, if the reconstruction constant. C(FN,M ) = max{κ(FN,M ),µ(FN,M )},. is small. II. REDUCED CONSISTENCY SAMPLING. This problem of generalized sampling is not new -
1B Methods 98 . 1B METHODS LECTURE NOTES Richard ...
www.damtp.cam.ac.uk/user/examples/B8Ld.pdf4 Oct 2013: 1B Methods 105. Now consider introducing new independent variables ξ,η by the substitution. ... etc. and in particular we get the new 2nd derivative coefficients to be. -
Axisymmetric viscous gravity currents flowing over a porous medium
www.damtp.cam.ac.uk/user/jneufeld/pubfiles/Spannuth-2009.pdf4 Nov 2013: GRAE WORSTER 2. 1Department of Geology and Geophysics, Yale University, New Haven, CT 06520, USA2Institute of Theoretical Geophysics, Department of Applied Mathematics and Theoretical Physics,. ... University of Cambridge, Wilberforce Road, Cambridge CB3 -
Proc. July 2007 Conf. onUnsolved Problems in Stellar Physics, ...
www.damtp.cam.ac.uk/user/mem/papers/SQBO/woodmcintyre-preprint.pdf19 Oct 2013: We report a new family of exact steadysolutions of the nonlinearequations showing how all these elements fit together, confining Bi within a layer ofthickness scaleδ = η/U while transmitting a retrograde -
1B Methods 1 . 1B METHODS LECTURE NOTES Richard ...
www.damtp.cam.ac.uk/user/examples/B8La.pdf4 Oct 2013: Con-sider again the general second order linear differential operator (with new names for thecoefficient functions, as often used in texts). ... Consider multiplyingthrough by some function F(x). The new coefficients of y′′ and y′ are Fp and Fr -
On the Order of Deferred Correction ANDERS C. HANSENDepartment ...
www.damtp.cam.ac.uk/research/afha/anders/Deferred10.pdf5 Oct 2013: family. Since there previously didnot exist any convergence proof for this method, new theoretical tools had to be built. ... Springer-Verlag,New York, 1973. Springer Tracts in Natural Philosophy, Vol. 23. [16] P. -
On skew-symmetric differentiation matrices Arieh Iserles January 9,…
www.damtp.cam.ac.uk/user/na/NA_papers/NA2013_01.pdf9 Jan 2013: Rep. 2012/NA05, University of Cambridge. Bejan, A. (2004), Convection Heat Transfer, 3rd edn, Wiley, New York. ... Richtmyer, R. D. & Morton, K. W. (1967), Difference Methods for Initial-Value Prob-lems, 2nd edn, Wiley-Interscience, New York. -
PHYSICAL REVIEW E 87, 023015 (2013) Interface pinning of ...
www.damtp.cam.ac.uk/user/jneufeld/pubfiles/Zhao-2013.pdf4 Nov 2013: University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, UK5School of Mathematics, University of New South Wales, Kensington, Australia. ... 1] R. M. Iverson, Rev. Geophys. 35, 245 (1997).[2] J. Bear, Dynamics of Fluids in Porous Media (Elsevier, New -
Pub lishe d by Man ey P ublis hing ...
www.damtp.cam.ac.uk/user/mem/papers/LHCE/lucidity-science-II-searchable-uncorrected.pdf19 Oct 2013: The objectappears to move away from the old position towardthe new, and to begin to do so before the arrival ofthe light signal carrying information about the newposition. ... I hearonly the new harmony change at the arrow, eventhough I may well imagine, -
§4 FLOWS WITH A FREE SURFACE Such flows are ...
www.damtp.cam.ac.uk/user/mem/FLUIDS-IB/waves.pdf19 Oct 2013: This was done by setting up measuring stations in New Zealand, in Alaska, and on someintervening Pacific islands. -
1B Methods 27 . 1B METHODS LECTURE NOTES Richard ...
www.damtp.cam.ac.uk/user/examples/B8Lb.pdf4 Oct 2013: The latter quantities define the new amplitudes and phases via their moduli and argu-ments. -
1B Methods 62 . 1B METHODS LECTURE NOTES Richard ...
www.damtp.cam.ac.uk/user/examples/B8Lc.pdf4 Oct 2013: The key new ideahere is the following procedure: we first consider G’s that arise from honest functions gand then express the action of g′ (or any other modified version of ... 1B Methods 82. This is a very useful observation for obtaining new FTs: -
Author's personal copy Physica D 240 (2011) 140–149 Contents ...
www.damtp.cam.ac.uk/user/jneufeld/pubfiles/Neufeld-2011-1.pdf4 Nov 2013: Department of Geology & Geophysics, Yale University, New Haven, CT, 06520, USAc Department of Physics, Yale University, New Haven, CT, 06520, USAd Program in Applied Mathematics, Yale University, New Haven, CT, 06520, ... Res.Lett. 33 (2006) L12501. -
Spreading and convective dissolution of carbon dioxide in vertically…
www.damtp.cam.ac.uk/user/jneufeld/pubfiles/MacMinn-2012.pdf4 Nov 2013: Corresponding author : C. W. MacMinn, Department of Geology andGeophysics, Yale University, PO Box 208109, New Haven, CT 06520-8109,USA. ... Press, Cambridge, U. K.679 Bear, J. (1972), Dynamics of Fluids in Porous Media, Elsevier, New York.680 Bickle, M. -
Global warming preceded by increasing carbon dioxide concentrations…
www.damtp.cam.ac.uk/user/mem/shakun-co2-temp-lag-nat12.pdf8 Jun 2013: 2Lamont-Doherty Earth Observatory, Columbia University, Palisades, New York 10964, USA.3College of Earth, Ocean, and Atmospheric Sciences, Oregon State University, Corvallis, Oregon 97331, USA. ... Nature 428, 834–837 (2004). 25. Liu, Z. et al. -
Solar tachocline dynamics: eddy viscosity,anti-friction, or something …
www.damtp.cam.ac.uk/user/mem/oldftp/dog-web.pdf19 Oct 2013: Solar tachocline dynamics: eddy viscosity,anti-friction, or something in between? MICHAEL E. McINTYRE. Centre for Atmospheric Science† at theDepartment of Applied Mathematics and Theoretical Physics,. Centre for Mathematical Sciences,. Wilberforce -
8 Magnetic confinement and the sharp tachopause MICHAEL E. ...
www.damtp.cam.ac.uk/user/mem/papers/SQBO/original-preprint-before-copy-edit-damage.pdf19 Oct 2013: Abstract. The discovery by Spruit of a new small-scale turbulent dynamo has sig-. -
A stability barrier for reconstructions from Fourier samples Ben ...
www.damtp.cam.ac.uk/research/afha/anders/AdcockHansenShadrin.pdf5 Oct 2013: A theorem of this type is not new. Our main result is a direct analogue of a theorem of Platte,Trefethen & Kuijlaars for the problem of overcoming the Runge phenomenon in ... IMA J.Num. Anal., 32(2):512–527, 2012. [47] T. J. Rivlin. Chebyshev -
Shear-enhanced convection in a mushy layer
www.damtp.cam.ac.uk/user/jneufeld/pubfiles/Neufeld-2008-2.pdf4 Nov 2013: 2Department of Physics, Yale University, New Haven, CT 06520, USA. (Received 1 January 2008 and in revised form 16 June 2008). ... In addition, Chung &Chen (2001) report finding a new morphological mode with negative critical Rayleighnumber. -
Document 1
www.damtp.cam.ac.uk/user/jneufeld/pubfiles/Daniels-2012.pdf4 Nov 2013: Stuart Scott (forHigh Temperature Looping) are Research Area Champions within the new UKCCS ResearchCentre. ... 3.2 The Capture of CO2. The capture of CO2 is not a new process [68]. -
A Generalized Sampling Theorem for StableReconstructions in Arbitrary …
www.damtp.cam.ac.uk/research/afha/anders/Adcock_Hansen1.pdf5 Oct 2013: 4 The New Approach4.1 The IdeaOne would like to have a completely general sampling theory that can be described as follows:. ... L2([(2!)1,(2!)1]d),. denote a new inner product on L2([(2!)1, (2!)1]d). -
flm1100110a
www.damtp.cam.ac.uk/user/jneufeld/pubfiles/Golding-2011.pdf4 Nov 2013: he. )Λ. (3.9). Hence, we obtain the principal new equation that governs the flow of a two-phasebuoyancy-driven current,. ... The two-phase governing equation is analogous to its single-phasecounterpart (Huppert & Woods 1995), with the two-phase effects -
The effects of capillary forces on the axisymmetric propagation ...
www.damtp.cam.ac.uk/user/jneufeld/pubfiles/Golding-2013.pdf4 Nov 2013: United Kingdom2School of Mathematics, University of New South Wales, Kensington, NSW 2052, Australiaand Faculty of Science, University of Bristol, Bristol BS2 6BB, United Kingdom3BP Institute, Bullard Laboratories, University of Cambridge, Madingley -
Notes for NSTMathematical Methods III† Recommended books: H.F. Jones, …
www.damtp.cam.ac.uk/user/mem/N.pdf16 Oct 2013: II. 4We can always reduce the problem to the case T = I, by making a rotation of coordi-nates that diagonalizes the symmetric matrix T, and then rescaling the new coordinatesso ... If a further rotation (which does notaffect T) is now made to diagonalize -
On the approximation of spectra of linear operatorson Hilbert ...
www.damtp.cam.ac.uk/research/afha/anders/JFA_Final.pdf5 Oct 2013: Hansen. DAMTP, University of Cambridgeemail: A.Hansen@damtp.cam.ac.uk. Abstract. We present several new techniques for approximating spectra of linear operators (notnecessarily bounded) on an infinite dimensional, separable Hilbert ... 3.8). Since {B1k } -
On the mechanisms of icicle evolution
www.damtp.cam.ac.uk/user/jneufeld/pubfiles/Neufeld-2010.pdf4 Nov 2013: Our new prediction for the meltrate based on (4.11) is v 4.06 105 cm s1, which is still only about 55 % of themeasured value. -
An experimental study of shear-enhanced convection in a mushy layer
www.damtp.cam.ac.uk/user/jneufeld/pubfiles/Neufeld-2008.pdf4 Nov 2013: S. W E T T L A U F E R 1,21Department of Geology and Geophysics, Yale University, New Haven, CT 06520, USA. ... 2Department of Physics, Yale University, New Haven, CT 06520, USA. (Received 22 February 2008 and in revised form 22 July 2008). -
Generalized sampling and the stable and accuratereconstruction of…
www.damtp.cam.ac.uk/research/afha/anders/BAACHSpecData.pdf5 Oct 2013: Thisgeneralizes a result proved recently for piecewise Legendre polynomials. The method developed in this paper is part of new numerical framework for sampling and reconstruc-tion in abstract Hilbert spaces, known ... The problem is not new, and -
doi:
www.damtp.cam.ac.uk/user/jneufeld/pubfiles/Hewitt-2013-1.pdf28 Nov 2013: Third, a new mode with β = 1/2 and α > 0 becomesincreasingly unstable as A is increased, and, for A & 17.2 (figure 2c,d), the new modehas a growth rate
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