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Stephen J. Cowley: Teaching Resources
www.damtp.cam.ac.uk/user/sjc1/teaching/23 Aug 2023: Mathematical Tripos Part III: Perturbation Methods (1993 onwards). My Perturbation Methods notes from Michaelmas 2022 are available in pdf and postscript form. ... My Mathematical Methods I notes from Michaelmas 2022 are available in pdf and postscript -
Popular | Maciej Dunajski | University of Cambridge
www.damtp.cam.ac.uk/user/md327/popular.html23 Feb 2023: Clare News 2022. ... April 2022. -
Research
www.damtp.cam.ac.uk/user/ik338/research.html4 Sep 2023: On global behaviour of classical effective field theories (2022) arXiv:2208.09194. -
Eric Lauga - Teaching
www.damtp.cam.ac.uk/user/lauga/teaching.html25 Nov 2023: Michaelmas 2022: Part II Fluid Dynamics. Michaelmas 2021: Part III Biological Physics and Fluid Dynamics (co-taught with Ray Goldstein). -
Teaching
www.damtp.cam.ac.uk/user/ik338/teaching.html4 Sep 2023: ISTVAN KADAR. Courses. Michaelmas 2022: Example classes in General Relativity and Analysis of Partial Differential Equations. -
Lecture Notes | Maciej Dunajski | University of Cambridge
www.damtp.cam.ac.uk/user/md327/teaching.html22 May 2023: Maciej Dunajski's Lecture Notes. Part IB Variational Principles (2022). Part II Classical Dynamics (2017). -
University of Cambridge, DAMTP: Goldstein Lab
www.damtp.cam.ac.uk/user/gold/people.html12 Apr 2023: Marshall Scholar. (2022-2023). Former Ph.D. Students. ... Dr. Frank Jülicher. George T. Fortune (Ph.D. Mathematics, University of Cambridge, 2022). -
J. Fluid Mech. (2022), vol. 936, A17, doi:10.1017/jfm.2022.48…
www.damtp.cam.ac.uk/user/drh39/2022_swim.pdf1 Dec 2023: Email address for correspondence: d.hewitt@ucl.ac.uk. The Author(s), 2022. Published by Cambridge University Press 936 A17-1. ... These data areprovided in tabulated form in the online supplementary material available at -
J. Fluid Mech. (2022), vol. 941, A56, doi:10.1017/jfm.2022.335…
www.damtp.cam.ac.uk/user/drh39/2022_layeredconvection.pdf1 Dec 2023: J. Fluid Mech. (2022), vol. 941, A56, doi:10.1017/jfm.2022.335. Evolution of convection in a layered porousmedium. ... CO2 is weakly. † Email address for correspondence: d.hewitt@ucl.ac.uk. The Author(s), 2022. -
Istvan KadarChurchill College, Cambridge, CB3 0DS, United Kingdom…
www.damtp.cam.ac.uk/user/ik338/cv.pdf4 Sep 2023: Preprint. 2022, arXiv:2208.09194. Invited talks. Singularities and Curvature in General Relativity, Nijmegen June 2023. ... Part III Analysis of Partial Differential Equations Michaelmas 2022. Part III General Relativity Michaelmas 2021-2022. -
Cop yrig ht © 202 3 U nive rsity ...
www.damtp.cam.ac.uk/user/examples/3C7a.pdf9 May 2023: Mathematical Tripos III: Perturbation Methods 2 S.J.Cowley@maths.cam.ac.uk, Michaelmas 2022. ... Mathematical Tripos III: Perturbation Methods 3 S.J.Cowley@maths.cam.ac.uk, Michaelmas 2022. -
Cop yrig ht © 202 3 U nive rsity ...
www.damtp.cam.ac.uk/user/examples/3C7c.pdf9 May 2023: Mathematical Tripos III: Perturbation Methods 1 S.J.Cowley@maths.cam.ac.uk, Michaelmas 2022. ... Er =c20|A0|. 2. 2ρ0, and ωr = ω kU. Mathematical Tripos III: Perturbation Methods 2 S.J.Cowley@maths.cam.ac.uk, Michaelmas 2022. -
Advancing optothermal manipulation: decoupling temperature and flow…
www.damtp.cam.ac.uk/user/lauga/papers/218_news_views.pdf5 Sep 2023: Chem. Soc. Rev. 51, 9203–9242 (2022). 3. Liu, Y. R. et al. ... Light-driven single-cell rotational adhesion frequency assay.eLight 2, 13 (2022). 4. Chen, Z. -
Nick_retirement_conference
www.damtp.cam.ac.uk/user/mjc249/talks/Nick_NEP_mjc.pdf17 Aug 2023: 2] Colbrook, Matthew J. "Computing semigroups with error control." SIAM Journal on Numerical Analysis 60.1 (2022): 396-422. ... Academy of Sciences 119.12 (2022): e2107151119. [7] Colbrook, Matthew, Andrew Horning, and Alex Townsend. -
Taming Discretization Challenges for Nonlinear Eigenvalue Problems
www.damtp.cam.ac.uk/user/mjc249/talks/INI_NEP_mjc.pdf26 Jul 2023: Comput. Math., 2022.• Webb, Olver, “Spectra of Jacobi operators via connection coefficient matrices,” Commun. ... Academy of Sciences 119.12 (2022): e2107151119. [7] Colbrook, Matthew, Andrew Horning, and Alex Townsend. -
Imperial_NLEVPs
www.damtp.cam.ac.uk/user/mjc249/talks/Imperial_NEP_mjc.pdf15 Jul 2023: 2] Colbrook, Matthew J. "Computing semigroups with error control." SIAM Journal on Numerical Analysis 60.1 (2022): 396-422. ... Academy of Sciences 119.12 (2022): e2107151119. [7] Colbrook, Matthew, Andrew Horning, and Alex Townsend. -
brum_mjc
www.damtp.cam.ac.uk/user/mjc249/talks/birmingham_mjc.pdf20 Sep 2023: Eur. Math. Soc., 2022.• C., Antun, Hansen, "The difficulty of computing stable and accurate neural networks," Proc. ... Academy of Sciences 119.12 (2022): e2107151119. [11] Colbrook, Matthew, Andrew Horning, and Alex Townsend. -
FoCM: Solve-the-discretize for NLEPS
www.damtp.cam.ac.uk/user/mjc249/talks/FOCM_2023_NEP_mjc.pdf15 Jul 2023: 2] Colbrook, Matthew J. "Computing semigroups with error control." SIAM Journal on Numerical Analysis 60.1 (2022): 396-422. ... Academy of Sciences 119.12 (2022): e2107151119. [7] Colbrook, Matthew, Andrew Horning, and Alex Townsend. -
23/01/2023, 22:13 Resilient Data-driven Dynamical Systems with…
www.damtp.cam.ac.uk/user/mjc249/pdfs/Koopman_NA.pdf23 Jan 2023: 2022). Modern Koopman theory for dynamical systems. SIAM Rev.,. 64(2), 229-340. ... 2022). Residual dynamic mode decomposition: Robust and verified. Koopmanism. Preprint, arXiv:2205.09779. -
Residual Dynamic Mode Decomposition Rigorous data-driven computation…
www.damtp.cam.ac.uk/user/mjc249/talks/mpEDMD_portland_mjc.pdf15 Jul 2023: 3] Colbrook, Matthew, Vegard Antun, and Anders Hansen. "Mathematical paradoxes unearth the boundaries of AI." TheScienceBreaker 8.3 (2022). ... The foundations of spectral computations via the solvability complexity index hierarchy." Journal of the -
S-D NLEVPs
www.damtp.cam.ac.uk/user/mjc249/talks/strathclyde_2023_NEP_mjc.pdf15 Jul 2023: The foundations of spectral computations via the solvability complexity index hierarchy." Journal of the European Mathematical Society (2022). ... Colbrook, Matthew, Vegard Antun, and Anders Hansen. "Mathematical paradoxes unearth the boundaries of AI." -
PDEs_meets_DATA_mjc
www.damtp.cam.ac.uk/user/mjc249/talks/PDE_meets_data_mjc.pdf19 Sep 2023: Eur. Math. Soc., 2022.• C., Antun, Hansen, "The difficulty of computing stable and accurate neural networks," Proc. ... Academy of Sciences 119.12 (2022): e2107151119. [11] Colbrook, Matthew, Andrew Horning, and Alex Townsend. -
Residual Dynamic Mode Decomposition Rigorous data-driven computation…
www.damtp.cam.ac.uk/user/mjc249/talks/INI_ResDMD.pdf9 Mar 2023: Natl. Acad. Sci. USA, 2022.• C., “Computing spectral measures and spectral types,” Comm. ... Numer. Anal., 2022.• Boullé, Townsend, “Learning elliptic partial differential equations with randomized linear algebra”, Found. -
A programme for computational analysis in the age of data
www.damtp.cam.ac.uk/user/mjc249/talks/SCI_talk_BANFF.pdf18 Apr 2023: Comput. Math., 2022. 8/25. 𝜎inf 𝐴 = inf 𝐴𝑣 :𝑣 𝔇 𝐴 , 𝑣 = 1. ... Comput. Math., 2022. 8/25. Class Ω 𝐴, want to compute Ξ:Ω (,𝑑). • -
The difficulty of computing stable and accurate neural networks On…
www.damtp.cam.ac.uk/user/mjc249/talks/SAE_mjc.pdf9 Feb 2023: M. Colbrook, V. Antun, A. Hansen, “The difficulty of computing stable and accurate neuralnetworks: On the barriers of deep learning and Smale’s 18th problem” (PNAS, 2022). ... M. Colbrook, V. Antun, A. Hansen, “The difficulty of computing stable -
A programme for computational analysis in the age of data
www.damtp.cam.ac.uk/user/mjc249/talks/SCI_talk_JMM.pdf6 Jan 2023: Comput. Math., 2022. 7/36. Class Ω 𝐴, want to compute Ξ:Ω (,𝑑). • ... Eur. Math. Soc., 2022. 17/36. Theorem: Let Ω be class of self-adjoint diff. -
10th_Popov_Prize
www.damtp.cam.ac.uk/user/mjc249/talks/Popov_talk_FoCM_mjc.pdf15 Jul 2023: Comput. Math., 2022.• C., Hansen, “The foundations of spectral computations via the solvability complexity index hierarchy," J. ... Comput. Math., 2022. • Optimisation and regularisation• Bastounis, Hansen, Vlačić, “The extended Smale's 9th -
J. Fluid Mech. (2018), vol. 837, pp. 520–545. c© ...
www.damtp.cam.ac.uk/user/drh39/2018_JPfinger.pdf1 Dec 2023: J. Fluid Mech. (2018), vol. 837, pp. 520–545. c Cambridge University Press 2018doi:10.1017/jfm.2017.829. 520. The dynamics of miscible viscous fingering fromonset to shutdown. Japinder S. Nijjer1,†, Duncan R. Hewitt1 and Jerome A. Neufeld1,2,3. -
This isa spec ific indiv idual’s copy of the ...
www.damtp.cam.ac.uk/user/sjc1/teaching/PM/notes.pdf23 Aug 2023: 12 ). Mathematical Tripos: Part III PM 4 S.J.Cowley@maths.cam.ac.uk, Michaelmas 2022. ... exp. Mathematical Tripos: Part III PM 18 S.J.Cowley@maths.cam.ac.uk, Michaelmas 2022. -
Stochastic_res_DMD
www.damtp.cam.ac.uk/user/mjc249/talks/ICIAM_stochastic_ResDMD.pdf22 Aug 2023: the barriers of deep learning and Smale’s 18th problem." Proceedings of the National Academy of Sciences 119.12 (2022):. -
ON THE EXISTENCE OF OPTIMAL MULTI-VALUED DECODERS AND THEIR ...
www.damtp.cam.ac.uk/research/afha/anders/Version0.pdf28 Nov 2023: ON THE EXISTENCE OF OPTIMAL MULTI-VALUED DECODERS AND THEIR ACCURACYBOUNDS FOR UNDERSAMPLED INVERSE PROBLEMS. NINA M. GOTTSCHLING, PAOLO CAMPODONICO, VEGARD ANTUN, AND ANDERS C. HANSEN. ABSTRACT. Undersampled inverse problems occur everywhere in the -
An algorithm for semigroups
www.damtp.cam.ac.uk/user/mjc249/talks/semigroups_FOX_final.pdf2 Jul 2023: Based on: C. “Computing semigroups with error control.” SINUM 60.1 (2022): 396-422. ... 𝑢(𝑥, 𝑡). 𝑁𝑥. References. [1] Colbrook, Matthew J. "Computing semigroups with error control." SIAM Journal on Numerical Analysis 60.1 (2022): 396-422 -
Climate tipping points: A personal view Michael Edgeworth McIntyre ...
www.damtp.cam.ac.uk/user/mem/climate-essay-pt-final-publ-230301.pdf2 Mar 2023: paper he published in Meteorology in April 2022. The worst uncertainties about climate. ... Press (2022). 4. R. B. Alley, Proc. Natl. Acad. Sci. USA 97, 1331 (2000).5. -
Obstructed viscoplastic flow in a Hele-Shaw cell
www.damtp.cam.ac.uk/user/drh39/2020_masoud.pdf1 Dec 2023: Express2, 2022 (2011). [21] M. Daneshi, A. Pourzahedi, D. M. Martinez, and D. -
Rate invariance and scallop theorem in viscosity gradients
www.damtp.cam.ac.uk/user/lauga/papers/217.pdf24 Jul 2023: Received 26 March 2022; accepted 12 May 2023; published 9 June 2023). -
The mpEDMD Algorithm for Data-Driven Computations of…
www.damtp.cam.ac.uk/user/mjc249/pdfs/mpEDMD.pdf16 Jun 2023: M.(1.2). Received by the editors September 12, 2022; accepted for publication (in revised form) March 6,2023; published electronically June 16, 2023. -
One-dimensional compression of a saturated elastoviscoplastic medium
www.damtp.cam.ac.uk/user/drh39/2022_elastoviscoplastic_compression.pdf1 Dec 2023: PHYSICAL REVIEW FLUIDS 7, 054303 (2022). One-dimensional compression of a saturated elastoviscoplastic medium. ... British Columbia V6T 1Z2, Canada. (Received 20 January 2022; accepted 9 May 2022; published 31 May 2022). -
This isasp ecificindividual’scopyofthenotes. Itis notto…
www.damtp.cam.ac.uk/user/sjc1/teaching/NSTIB/Mich/notes.pdf16 Aug 2023: Natural Sciences Tripos: IB Mathematical Methods I ii S.J.Cowley@maths.cam.ac.uk, Michaelmas 2022. ... Natural Sciences Tripos: IB Mathematical Methods I iii S.J.Cowley@maths.cam.ac.uk, Michaelmas 2022. -
© 2022 European Mathematical SocietyPublished by EMS Press J. ...
www.damtp.cam.ac.uk/user/mjc249/pdfs/JEMS_foundations_colbrook.pdf21 Feb 2023: 2022 European Mathematical SocietyPublished by EMS Press. J. Eur. Math. Soc. -
Phototaxis of Chlamydomonas arises from a tuned adaptive…
www.damtp.cam.ac.uk/user/gold/pdfs/chlamy_photo.pdf21 Jan 2023: Cambridge CB3 0WA, United Kingdom. (Received 21 July 2022; revised 3 November 2022; accepted 16 December 2022; published 20 January 2023). -
Computing spectral properties of topological insulators without…
www.damtp.cam.ac.uk/user/mjc249/pdfs/computing_top_ins.pdf7 Mar 2023: Computing spectral properties of topological insulators without. artificial truncation or supercell approximation. Matthew J. Colbrook, Andrew Horning, Kyle Thicke, Alexander B. Watson. Abstract. Topological insulators (TIs) are renowned for their -
COMPUTING SPECTRA – ON THE SOLVABILITY COMPLEXITY INDEX HIERARCHYAND…
www.damtp.cam.ac.uk/research/afha/anders/SCI_FINAL.pdf20 Nov 2023: COMPUTING SPECTRA – ON THE SOLVABILITY COMPLEXITY INDEX HIERARCHYAND TOWERS OF ALGORITHMS. J. BEN-ARTZI, M. J. COLBROOK, A. C. HANSEN, O. NEVANLINNA, AND M. SEIDEL. ABSTRACT. This paper establishes the Solvability Complexity Index (SCI) hierarchy -
Restarts subject to approximate sharpness: A parameter-free and…
www.damtp.cam.ac.uk/user/mjc249/pdfs/GeneralRestartSchemes.pdf11 Jan 2023: Restarts subject to approximate sharpness:. A parameter-free and optimal scheme for first-order methods. Ben Adcock, Matthew J. Colbrook, Maksym Neyra-Nesterenko. Abstract. Sharpness is an almost generic assumption in continuous optimization that -
Legendrean and G2 Contact Structures Timothy Moy April 1, ...
www.damtp.cam.ac.uk/user/tjahm2/MoyThesis.pdf24 Aug 2023: I acknowledge the support I have received for my research through the provisionof an Australian Government Research Training Program Scholarship. -
J. Fluid Mech. (2023), vol. 963, A24, doi:10.1017/jfm.2023.336…
www.damtp.cam.ac.uk/user/lauga/papers/216.pdf24 Jul 2023: Received 13 October 2022; revised 27 February 2023; accepted 10 April 2023). -
SpecSolve:SpectralMethodsforSpectralMeasures
www.damtp.cam.ac.uk/user/mjc249/pdfs/spectral_methods_for_spectral_measures.pdf26 Jul 2023: J. Eur. Math. Soc. (2022). https://ems.press/journals/jems/articles/ 8215362. 15. Colbrook, M.J.: On the computation of geometric features of spectra of linear operators on Hilbert spaces. ... Phys. Rev. B. 106(4), 045149 (2022). 18. Colbrook, M. J., -
WHEN CAN YOU TRUST FEATURE SELECTION? – II: ON ...
www.damtp.cam.ac.uk/research/afha/anders/InitialSubmitFeatureSelectionProbabilistic.pdf18 Dec 2023: WHEN CAN YOU TRUST FEATURE SELECTION? – II: ON THE EFFECTS OF RANDOMDATA ON CONDITION IN STATISTICS AND OPTIMISATION. ALEXANDER BASTOUNIS, FELIPE CUCKER, AND ANDERS C. HANSEN. ABSTRACT. In Part I, we defined a LASSO condition number and developed -
Vigorous convection in porous media
www.damtp.cam.ac.uk/user/drh39/2020_hewittreview.pdf1 Dec 2023: royalsocietypublishing.org/journal/rspa. ReviewCite this article: Hewitt DR. 2020 Vigorousconvection in porous media. Proc.R.Soc.A476: 20200111.http://dx.doi.org/10.1098/rspa.2020.0111. Received: 20 February 2020Accepted: 3 June 2020. Subject -
WHEN CAN YOU TRUST FEATURE SELECTION? – I: A ...
www.damtp.cam.ac.uk/research/afha/anders/InitialSubmitFeatureSelectionDeterministic.pdf18 Dec 2023: WHEN CAN YOU TRUST FEATURE SELECTION? – I: A CONDITION-BASED ANALYSIS OFLASSO AND GENERALISED HARDNESS OF APPROXIMATION. ALEXANDER BASTOUNIS, FELIPE CUCKER, AND ANDERS C. HANSEN. ABSTRACT. The arrival of AI techniques in computations, with the -
Conformal Properties of Spacetime Peter James Cameron St John’s ...
www.damtp.cam.ac.uk/user/md327/cameron_thesis.pdf10 Feb 2023: Doctor of Philosophy. October 2022. i. This thesis is the result of my own work and includes nothing which is the outcome of work. ... Quant. Grav. 39 (2022) 115002. • P. Cameron Positivity of mass in higher dimensions, Annales Henri Poincaré (2022),.
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