Peter Lynch

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114 Eoghan Harney & Peter Lynch, 2018: Laplace Transform Integration of a Baroclinic Model.
Submitted to Quart. J. Roy. Met. Soc.. Preprint (PDF). ArXiV.
113 Peter Lynch, 2018: Pedro Nunes and the Retrogression of the Sun.
Bull. Irish Math. Soc., 81, 23-30. PDF.
112 Peter Lynch, 2017: The Fractal Boundary of the Power Tower Function.
Proceedings of Recreational Mathematics Colloquium V - G4G, 127-138. Preprint (PDF)
111 Peter Lynch, 2016: Replication of Foucault’s pendulum experiment in Dublin
Proc. Roy. Irish Acad., 116C, 297-311. doi:10.3318/PRIAC.2016.116.03. PDF
110 Peter Lynch, 2016: An Artist's Impression of Richardson's Fantastic Forecast Factory.
Weather, 71, 14-18. PDF.
109 Peter Lynch & Colm Clancy, 2016: Improving the Laplace transform integration method
Q. J. Roy. Met. Soc., 142, 1196–1200, PDF.
108 Peter Lynch, 2015: The Ping Pong Pendulum.
ArXiV: Online, 11 December 2015: .
107 Peter Lynch, Dominique Marbouty & Tiziana Paccagnella, 2015: External review of the HIRLAM-B programme 2011 – 2015.
Ministère de l’Écologie, du Développement Durable et de l’Énergie, République Française, Septembre 2015. Rapport n° 010423-01 (PDF)
106 Peter Lynch, 2015: Numerical Weather Prediction.
In Princeton Companion to Applied Mathematics, Ed. N. J. Higham et al.,
Princeton Univ. Press, ISBN: 9-780-691-15039-0 PDF or PDF.
105 Peter Lynch, 2014: Matthew O'Brien: An Inventor of Vector Analysis.
Bull. Irish Math. Soc., 74, 81-88. PDF.
104 Peter Lynch, 2014: The High-power Hypar. In 50 Visions of Mathematics. IMA 50th Anniversary Book.
Oxford Univ. Press. Edited by Sam Parc, Foreword by Dara O’ Briain. 208 pages, ISBN 978-0-19-870181-1 PDF.
103 Peter Lynch, 2014: The Not-so-simple Pendulum: Balancing a Pencil on its Point.
ArXiV: Online, 5 June 2014: ArXiV.
102 Courtney, Jennifer, Peter Lynch and Conor Sweeney, 2013:
High Resolution Forecasting for Wind Energy Applications using Bayesian Model Averaging.
Tellus A 65, 19669, Online.   PDF.
101 Peter Lynch and Miguel D Bustamante, 2013:
Quaternion Solution for the Rock'n'roller: Box Orbits, Loop Orbits and Recession.
Reg. & Chaotic Dyn., 18, 1-2, 166-183. DOI: 10.1134/S1560354713010127. PDF (free). PDF (Pay).
100 Sweeney, Conor, Peter Lynch and Paul Nolan, 2013:
Reducing errors of wind speed forecasts by an optimal combination of post-processing methods.
Met. Applications 20, 1, 32–40. DOI: 10.1002/met.294 (published online: 13 Sep. 2011). PDF.
99 Peter Lynch, 2012: The Equation of Time and the Analemma.
Bull. Irish Math. Soc., 69, 47-56. PDF.
98 Nolan, Paul, Peter Lynch and Conor Sweeney, 2012:
Simulating the future wind energy resource of Ireland using the COSMO-CLM model.
Wind Energy Published online 17 SEP 2012, DOI: 10.1002/we.1554.   PDF.
97 Nolan, Paul, Peter Lynch Ray McGrath, Tido Semmler and Shiyu Wang, 2012:
Simulating Climate Change and its Effects on the Wind Energy Resource of Ireland.
Wind Energy . 15, 4, 593–608. DOI: 10.1002/we.489. PDF.
96 Colm Clancy & Peter Lynch, 2011a: Laplace transform integration of the shallow water equations.
Part 1: Eulerian formulation and Kelvin waves.
Q. J. Roy. Met. Soc., 137, 792-799. PDF.
95 Colm Clancy & Peter Lynch, 2011b: Laplace transform integration of the shallow water equations.
Part 2: Lagrangian formulation and orographic resonance.
Q. J. Roy. Met. Soc., 137, 800-809. PDF.
94 Peter Lynch, 2011: The Two-Child Paradox: Dichotomy and Ambiguity.
Bull. Irish Math. Soc., 67, 67-73. PDF.
93 Peter Lynch, 2011: From Richardson to Early Numerical Weather Prediction. PDF of chapter.
Pp. 3-17 in The Development of Atmospheric General Circulation Models: Complexity, Synthesis and Computation.
Leo Donner, Wayne Schubert, Richard Somerville (Eds). Cambridge University Press, 255+xvi pp. (ISBN-13: 9780521190060).
92 Rodrigo Caballero and Peter Lynch, 2011: Climate modelling and deep-time climate change. PDF.
Pp. 44-61 in Climate Change, Ecology and Systematics, Trevor Hodkinson, Mike Jones, John Parnell and Steve Waldren (Eds.),
Cambridge University Press, May. 2011 (ISBN-13: 9780521766098).
91 Conor Sweeney and Peter Lynch, 2011: Adaptive postprocessing of short-term wind forecasts for energy applications.
Wind Energy, 14, 317–325. Published online 2 Aug 2010. DOI: 10.1002/we.420 PDF.
90 Lynch, Peter, 2010: Rambling Round Ireland: A Commodius Vicus of Recirculation
The Liffey Press, 270+x pp. Further Information .
89 Peter Lynch and Xiang-Yu Huang, 2010: Initialization. PDF.
Pp. 241-260 in Data Assimilation: Making sense of Observations. William Lahoz, Boris Khattatov and Richard Ménard (Eds).
Springer. 732 pp. ISBN: 978-3-540-74702-4
88 Peter Lynch, 2010: Weather and Climate Forecasting: Chronicle of a Revolution.
WMO Bulletin. 59, 75-78. PDF.
87 Hanafin, J., McGrath, R., Semmler, T., Wang, S., Lynch, P., Steele-Dunne, S. and Nolan, P, 2010:
Air flow and stability indices in GCM future and control runs. Int. J. Climatol. , 31 (8), 1240–1247. PDF. DOI: 10.1002/joc.2125
86 Peter Lynch and Miguel D Bustamante, 2009: Precession and Recession of the Rock'n'roller.
J. Phys. A: Math. Theor. 42 (2009) 425203 (25pp). PDF. DOI: 10.1088/1751-8113/42/42
85 Peter Lynch, 2009: On Resonant Rossby-Haurwitz triads.
Tellus, 61A, 438-445. PDF. DOI: 10.1111/j.1600-0870.2009.00395.x
84 Wim Verkley and Peter Lynch, 2009:
Energy and enstrophy spectra of geostrophic turbulent flows derived from a maximum entropy principle.
J. Atmos. Sci., 66, 2216-2236. PDF. doi: 10.1175/2009JAS2889.1
83 Peter Lynch and Gérard De Moor, 2008:
Les origines de la prévision numérique du temps et de la modélisation climatique.
La Météorologie, 63, 14-24. PDF.
82 Wang, S., McGrath R., Hanafin J., Lynch P., Semmler T., Nolan P., 2008:
The impact of climate change on storm surges over Irish waters.
Ocean Modelling, 25, 83-94. PDF.
81 Ray McGrath & Peter Lynch (Editors), 2008:
Ireland in a Warmer World: Scientific Predictions of the Irish Climate in the Twenty-First Century.
Report of the C4I Project (Published by Met Éireann), 109+vi pp. ISBN 9 780952 123255. PDF.
80 Steele-Dunne, Susan, Peter Lynch, Ray McGrath, Tido Semmler, Shiyu Wang, Jenny Hanafin and Paul Nolan, 2008:
The impacts of climate change on hydrology in Ireland.
J. Hydrol., 356, 28-45. DOI: 10.1016/j.jhydrol.2008.03.025 PDF.
79 Lynch, Peter & Owen Lynch, 2008: Forecasts by PHONIAC. Weather, 63 , 324-326. HTML. PDF.
Cover story in Notices of the American Mathematical Society, 60, p.1113 PDF.
78 Lynch, Peter, 2008: The ENIAC Forecasts: A Recreation.
Bull. Amer. Met. Soc., 89, 45-55. Abstract . Full article (PDF).
77 Semmler, T., S. Varghese, R. McGrath, P. Nolan, S. Wang, P. Lynch, and C. O'Dowd (2008):
Regional climate model simulations of North Atlantic cyclones: frequency and intensity changes.

Clim. Res., 36, 1-16. doi:10.3354/cr00732. PDF file.
76 Semmler, T., S. Varghese, R. McGrath, P. Nolan, S. Wang, P. Lynch and C O'Dowd C, 2008:
Regional model simulation of North Atlantic cyclones: Present climate and idealized response to increased sea surface temperature.

J. Geophys. Res., Atmos., 113, D02107. PDF file.
75 Burzlaff, Jürgen, Edel DeLoughry and Peter Lynch, 2008:
Generation of zonal flow by resonant Rossby-Haurwitz wave interactions.

Geophys. Astrophys. Fluid Dynam., 102, 165-177. PDF file .
74 Lynch, Peter, 2008: The Origins of Computer Weather Prediction and Climate Modeling.
Invited contribution to Special Issue of J. Comp. Phys. 227, 3431-3444 [DOI: 10.1016/] PDF file .
73 Bokhove, O. and Peter Lynch, 2007: Air parcels and air particles: Hamiltonian dynamics.
Nieuw Arch. Wisk., 5/8(2), 100-106. PDF file .
72 Black,Kevin, Phill Davis, Peter Lynch, Mike Jones, Michael McGettigan and Bruce Osborne, 2006:
Long-term trends in solar irradiance in Ireland and their potential effects on gross primary productivity.
Agricultural and Forest Meteorology , 141, 118-132. PDF file .
71 Lynch, Peter, 2006: The Emergence of Numerical Weather Prediction: Richardson's Dream.
Cambridge University Press, 279pp. Further Information .
70 Lynch, Peter, 2006: Foreword to Weather Prediction by Numerical Process by Lewis Fry Richardson.
Second Edition. Cambridge University Press, 2006. ISBN: 0-521-68044-1 (250pp). Foreword .
69 Lynch, Peter, 2004: A Century of NWP: The View from Limerick. Weather, 59, 331. PDF file.
[Limericks now available in Hungarian too, thanks to Gyuró György]
68 Lynch, Peter, and Conor Houghton, 2004: Pulsation and Precession of the Resonant Swinging Spring .
Physica D, 190,1-2, 38-62 Abstract (HTML). PDF file.
67 R. H. Cushman, H. R. Dullin, A. Giacobbe, D. D. Holm, M. Joyeux, P. Lynch, D. A. Sadovskii and B. I. Zhilinskii, 2004:
The CO2 molecule as a quantum realization of the 1:1:2 resonant swing-spring with monodromy.
Phys. Rev. Lett., 93, 024302. PDF.
66 Lynch, Peter, 2003: Richardson Extrapolation: The Power of the 2-gon.
Mathematics Today, 39, 5, 159-160. Abstract (HTML). PDF file.
65 Lynch, Peter, 2003: Resonant Rossby Wave Triads and the Swinging Spring.
Bull. Amer. Met. Soc., 84, 605-616. Abstract (HTML). PDF file.
Extended version, with full mathematical treatment, published as BAMS Supplement (PDF).
64 Lynch, Peter, 2003: Introduction to Initialization. Abstract (HTML).
Pp. 97-111 in Data Assimilation for the Earth System. Eds. R. Swinbank, V. Shutyaev and W. Lahoz, 378pp. PDF file.  
63 Lynch, Peter, 2003: Digital Filter Initialization. Abstract (HTML).
Pp. 113-126 in Data Assimilation for the Earth System. Eds. R. Swinbank, V. Shutyaev and W. Lahoz, 378pp. PDF file.  
62 Lynch, Peter, 2003: Margules' Tendency Equation and Richardson's Forecast.
Weather, 58, 186-193. PDF file.    Abstract (HTML).
61 Lynch, Peter, 2003: On the Significance of the Titius-Bode Law for the Distribution of the Planets.
PDF file. Mon. Not. Roy. Astron. Soc., 341, 1174-1178. Abstract (HTML).
60 Holm, Darryl D. and Peter Lynch, 2002: Stepwise Precession of the Resonant Swinging Spring.
PDF file. SIAM Journal on Applied Dynamical Systems, 1, 44-64. Abstract (HTML).
59 Lynch, Peter, 2002: Resonant Motions of the Three-dimensional Elastic Pendulum.
PDF file. Intl. J. Nonlin. Mech., 37, 345-367. Abstract (HTML).
58 Lynch, Peter, 2002: The Swinging Spring: a Simple Model for Atmospheric Balance. PDF file.
Pp. 64-108 in Large-Scale Atmosphere-Ocean Dynamics: Vol II: Geometric Methods and Models.
Ed.~J.~Norbury and I.~Roulstone. Cambridge University Press. Abstract (HTML).
57 Peter Lynch, 2002: Hamiltonian Methods for Geophysical Fluid Dynamics: An Introduction
PDF file. IMA, University of Minnesota, Preprint 1838. Abstract (HTML).
56 Lynch, Peter, 2001: Max Margules and his Tendency Equation.
Historical Note No 5, Met Éireann, Dublin, October, 2001. ISSN 1393-9041, ISBN 0-952-1232-5-8.
PDF file. Including an English Translation of Max Margules 1904 paper
On the Relationship between Barometric Variations and the Continuity Equation. PDF file.
55 Lynch, Peter, 2001: Spring Weather. HTML Irish Scientist Yearbook No 9, 2001.
54 Lynch, Peter, 2000a: Weather Forecasting: from woolly art to solid science.
Pp. 106-119 in Meteorology at the Millennium. Academic Press. PDF file.
Invited contribution to Royal Meteorological Society Millennium Meeting, Cambridge, July, 2000. Abstract (HTML).
53 Lynch, Peter, 2000b: Numerical Weather Prediction: the Origins and Development of Computer Forecasting.
Historical Note No 4, Met Éireann, Dublin, August, 2000. ISSN 1393-9041, ISBN 0-952-1232-4-7
52 Lynch, Peter, 2000d: Boundary Filters using Half-sinc Functions. PDF file.
Hirlam Newsletter Number 35, 110-118. Abstract (HTML).
51 Lynch, Peter, Nils Gustafsson, Bent Hansen Sass and Gerard Cats, 2000:
Final Report of the HIRLAM 4 Project, 1997-1999. Contents (HTML). Chapter 1 (HTML).
50 Lynch, Peter, 1999a: Richardson's Marvellous Forecast. PDF file.
Pp 61-73 in The Life Cycles of Extratropical Cyclones,
M A Shapiro and S Grønås, Eds., Amer. Met. Soc., Boston, 355pp. Abstract (HTML).
49 Peter Lynch, 1999b: State-of-the-Art in Short Range Forecasting. PDF file.
Proceedings of European Conference on Applications of Meteorology, Norrköping, Sept., 1999.
48 Lynch, Peter, Ray McGrath and Aidan McDonald, 1999: Digital Filter Initialization for HIRLAM.
PDF file. HIRLAM Technical Report No. 42, June, 1999. Abstract (HTML).
47 Lynch, Peter, 1998: HTML in less than no time. HTML version.
Hirlam Newsletter Number 30, 52-56.
46 Lynch, P, D Majewski and P Prohl, 1998: Digital filtering initialization of the global icosahedral-hexagonal
grid NWP model (GME) of the Deutscher Wetterdienst.

CAS/JSC Working Group on Numerical Experimentation, Report 27 on Research Activities in
Atmospheric and Oceanic Modelling, A Staniforth, Ed., WMO, 459pp.
45 Lynch, Peter, 1997a: The Dolph-Chebyshev Window: A Simple Optimal Filter. PDF file.
Mon. Wea. Rev., 125, 655-660. Abstract (HTML).
44 Lynch, Peter, 1997b: Science at Met Éireann: FASTEX. The Irish Scientist, No 5, 114--115. Summary (HTML).
43 Lynch, Peter, Dominique Giard and Vladimir Ivanovici, 1997: Improving the efficiency of a digital filtering scheme.
PDF file . Mon. Wea. Rev., 125, 1976-1982. Abstract (HTML).
42 Joly, A., et al., 1997: The Fronts and Atlantic Storm-Track Experiment (FASTEX):
Scientific Objectives and Experimental Design.
PDF file . Bull. Amer. Met. Soc., 78, No. 9, 1917--1940. Abstract (HTML).
41 Lynch, Peter, 1996a: A Simple Filter for Initialization.
HIRLAM Technical Report No. 24 (available from SMHI, S-60176, Norrköping, Sweden). Abstract (HTML).
40 Lynch, Peter, 1996b: The elastic pendulum: a simple mechanical model for atmospheric balance.
Isaac Newton Institute, Cambridge. Paper No. NI-96010.
39 Lynch, Peter, 1996c: The elastic pendulum: a simple mechanical model for atmospheric balance.
Technical Note No. 54. Met Éireann, Dublin. Abstract (HTML).
38 Lynch, Peter, 1995: HIRLAM Forecasts of the Epiphany Snow Storm. Hirlam Progress Report No. 2,
Irish Meteorological Service Summary (HTML).
37 Lynch, Peter, 1994a: Richardson's Marvellous Forecast. PDF file.
Proceedings of the International Symposium on the Life Cycles of Extratropical Cyclones,
Bergen, Norway, 27 June--1 July, 1994, 38--48. Abstract (HTML).
36 Lynch, Peter, 1994b: The outlook is bright. The Irish Scientist, 1, 28. Summary (HTML).
35 Lynch, Peter, 1994c: Climate Modelling. HTML. In Climate Variation and Climate Change in Ireland.
Ed. John Feehan, Env. Unit, University College, Dublin, 151pp
34 Lynch, Peter and Xiang-Yu Huang, 1994: Diabatic initialization using recursive filters. PDF.
Tellus, 46A, 583-597. Abstract (HTML).
33 Huang, Xiang-Yu and Peter Lynch, 1993: Diabatic digital filtering initialization: Application to the HIRLAM Model.
PDF file. Mon. Weather Rev., 121, 589-603. Abstract (HTML).
32 Lynch, P. 1993a: Digital filters for numerical weather prediction. PDF file.
HIRLAM Technical Report No. 10 (available from FMI, PB 503, SF-00101 Helsinki, Finland.) Abstract (HTML).
31 Lynch, P. 1993b: Richardson's forecast factory: the $64,000 question. PDF file. Met. Mag., 122, 69--70. HTML version.
30 Lynch, Peter and Xiang-Yu Huang, 1993: Initialization Schemes for HIRLAM based on Recursive Digital Filters. PDF file.
HIRLAM Technical Report No. 12. Abstract (HTML).
29 Lynch, Peter, 1992a: Richardson's barotropic forecast: a reappraisal. PDF file .
Bull. Amer. Met. Soc., 73, 35-47. Abstract (HTML).
28 Lynch, Peter, 1992b: Data Needs and Assimilation for Weather Prediction.
Report of CAS Group of Rapporteurs on Short-Range Weather Prediction Research,
Bracknell, U.K., 13--17 January, 1992. PWPR No. 1, WMO/TD No. 479. WMO, Geneva.
27 Lynch, Peter and Xiang-Yu Huang, 1992: Initialization of the HIRLAM model using a digital filter.
PDF file. Mon. Weather Rev., 120, 1019-1034. Abstract (HTML).
26 Lynch, Peter, 1991a: Filtering integration schemes based on the Laplace and Z transforms. PDF file .
Mon. Weather Rev., 119, 653-666. Abstract (HTML).
25 Lynch, Peter, 1991b: Filtered Equations and Filtering Integration Schemes.
Proceedings of Seminar on Numerical Methods in Atmospheric Models.
ECMWF, Reading, U.K., 9--13 September, 1991. Summary (HTML). Full chapter PDF .
24 Lynch, Peter, 1991c: Filtered Equations and Filtering Integration Schemes.
Technical Note No. 52. Meteorological Service, Dublin.
23 Lynch, Peter and Xiang-Yu Huang, 1991: Initialization of the HIRLAM model using a digital filter.
Report DM-57, Dept. of Meteorology, Stockholm University, 34pp.
22 Lynch, Peter and A McDonald, 1990: A multi-level limited area slow equation model: application to initialization.
Q. J. Roy. Met. Soc., 116, 595-609. PDF file .
21 Lynch, Peter and Ray McGrath, 1990a: Hurricane Charlie: Modelling a severe storm with the HIRLAM System.
HIRLAM Tech. Rep. No. 8, 83--98. PDF file .
20 Lynch, Peter and Ray McGrath, 1990b: Spectral synthesis on rotated and regular grids.
HIRLAM Tech. Rep. No. 6, 18pp. Abstract (HTML).
19 Lynch, Peter, 1989a: Partitioning the wind in a limited domain. PDF file .
Mon. Weather Rev., 117, 1492-1500. Abstract (HTML).
18 Lynch, Peter, 1989b: The Slow Equations. Q. J. Roy. Met. Soc., 115, 201-219. PDF file .
17 Lynch, Peter, 1989c: The Laplace Tidal Equation: Its Geophysical Significance and Mathematical Difficulty.
Proceedings of the Second Meeting on Differential Equations, N.I.H.E., Glasnevin, Dublin, 22-25 May, 1989. Abstract (HTML).
16 Lynch, Peter, 1988: Deducing the wind from the vorticity and divergence. PDF file .
Mon. Weather Rev., 116, 86-93. Abstract (HTML).
15 Lynch, Peter, 1987a: Techniques of Initialization. PDF file. Weather, 42, No. 3, pp 66-70.
Abstract (HTML).
14 Lynch, Peter, 1987b: The Slow Equations. Part I: Derivation and Properties of the System.
Part II: Application to Continuous Data Assimilation.
Tech. Note No. 50, Irish Meteorological Service, Dublin.
13 Bijlsma, SJ., L.M. Hafkenscheid and Peter Lynch, 1986:
Computation of the stream function and velocity potential and reconstruction of the wind field. PDF file .
Mon. Weather Rev., 114, 1547-1551. Abstract (HTML).
12 Lynch, Peter, 1986a: Numerical forecasting using Laplace transforms: Theory and application to data assimilation.
Tech. Note No. 48, Irish Meteorological Service, Dublin. PDF file .
11 Lynch, Peter, 1986b: Computing Tomorrow's Weather. Technology Ireland, August, 1986.
10 Lynch, Peter, 1985a: Initialization of a barotropic limited area model using the Laplace Transform technique.
PDF file . Mon. Weather Rev., 113, 1338-1344. Abstract (HTML).
9 Lynch, Peter, 1985b: Initialization using Laplace transforms.
Q. J. Roy. Meteor. Soc., 111, 243-258. PDF file .
8 Lynch, Peter, 1985c: Forecast Updating: Theory and Application to a simple model.
Scientific Report WR 85-4, KNMI, De Bilt.
7 Lynch, Peter, 1984a: Initialization using Laplace Transforms.
Tech. Note No. 45, Irish Meteorological Service, Dublin.
6 Lynch, Peter, 1984b: DYNAMO---A one dimensional primitive equation model.
Tech. Note No. 44, Irish Meteorological Service, Dublin. PDF file .
5 Lynch, Peter, 1984c: Initialization of a barotropic limited area model using the Laplace Transform technique.
Tech. Note No. 46, Irish Meteorological Service, Dublin.
4 Lynch, Peter, 1984d: The Long Hot Summer (article on Carbon Dioxide and Global Climate).
Technology Ireland, July, 1984.
3 Lynch, Peter, 1983: A rapidly travelling planetary-scale instability in the atmosphere.
Geophys. Res. Lett. , 10, 1176-1179.
2 Lynch, Peter, 1982: Planetary-scale Hydrodynamic Instability in the Atmosphere.
Ph.D. Thesis, Trinity College, Dublin, June, 1982.
1 Lynch, Peter, 1979: Baroclinic instability of ultra-long waves modelled by the planetary geostrophic equations.
Geophys. Astrophs. Fluid Dynam., 13, 107-124.

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