Publications

Peter Lynch

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Papers archived on arXiv.org

137 Lynch, Peter & Michael Mackey, 2024: Parity and Partition of the Rational Numbers.
The College Mathematics Journal. Published online: 05 Mar 2024. PDF
136 Peter Lynch, 2023: The Sieve of Eratosthenes and a Partition of the Natural Numbers.
Bull. Irish Math. Soc., No. 92, 49-53. PDF.
135 Peter Lynch & Michael Mackey, 2023: Counting Sets with Surreals. Part I: Sets of Natural Numbers.
ArXiV.
134 Verrall, Steven C., Micah Atkins, Andrew Kaminsky, Emily Friederick, Andrew Otto, Kelly S. Verrall, and Peter Lynch, 2023:
Ground State Quantum Vortex Proton Model. Foundations of Physics. 58:28 22pp. Online (View only).
133 Lynch, Peter, 2022: A Lagrange-Laplace Integration Scheme for Weather Prediction and Climate Modelling.
Meteorology, 1(4), 355-376. Preprint (PDF). HTML
132 Lynch, Peter, 2022: Richardson’s Forecast: the Dream and the Fantasy.
Benchmark, NAFEMS Newsletter, Special edition: 100 years of CFD. October 2022, pp. 6-12. PDF.
131 Lynch, Peter, 2022: Determining the Time and Date from Shadows in a Photograph. Preprint
130 Peter Lynch, 2022: The Monte Carlo Method of Integration.
Irish Maths. Teachers Assoc. Newsletter, 120, 19-21. PDF
129 David M Schultz & Peter Lynch, 2022: 100 Years of L. F. Richardson’s Weather Prediction by Numerical Process.
Editorial, Monthly Weather Review, Vol 150, No 4 (April 2022), 693-695.
128 Peter Lynch, 2022: Mamikon’s Visual Calculus and the Hodograph.
Mathematics Today, April 2022, 212-214. Proof PDF.
127 Peter Lynch, 2022: That's Maths III : Elegant Abstractions & Eclectic Applications.
Logic Press, xii+260 pp. ISBN: 978-1-4717-5752-5.
126 Peter Lynch, 2021: Derangements and Continued Fractions for e.
Bull. Irish Math. Soc., 87, 45-49. arXiv (PDF). Final Version (PDF).
125 Peter Lynch, 2021: Euler: a mathematician without equal and an overall nice guy.
Irish Maths. Teachers Assoc. Newsletter, 119, 18-19. PDF
124 Peter Lynch, 2020: Goldbach's Conjecture: if it's unprovable, it must be true.
Bull. Irish Math. Soc., 86, 103--106. PDF.
123 Peter Lynch, 2020: That's Maths II : A Ton of Wonders.
Logic Press, vii+240 pp. ISBN 978-1-7165-0799-1.
122 Peter Lynch, 2019: Integrable elliptic billiards and ballyards.
Eur. J. Phys. 41(1), 015005. Online. DOI . Preprint. arXiv.
121 Bustamante, Miguel D and Peter Lynch, 2019:
Nonholonomic Noetherian symmetries and integrals of the Routh sphere and Chaplygin ball
Reg. & Chaotic Dyn. 24, 5, 511-524. Preprint. PDF on arXiv. PDF Springer Nature.
120 Peter Lynch, 2019: Stokes's Fundamental Contributions to Fluid Dynamics. Chapter 6 in
George Gabriel Stokes: Life, Science and Faith. Ed. Mark McCartney, Andrew Whitaker, and Alastair Wood.
Oxford University Press. OUP. Preprint: PDF.
119 Peter Lynch, 2019: Magnums: Counting Sets with Surreals. Recreational Mathematics Colloquium VI:
Proceedings,
Pp 123-138. August 2019, Jorge Nuno Silva (Editor). Preprint.
118 Randall, David Allan, Cecilia M. Bitz, Gokhan Danabasoglu, A. Scott Denning, Peter Gent, Andrew Gettelman,
Stephen Griffies, Peter Lynch, Hugh Morrison, Robert Pincus and John Thuburn, 2019:
Chapter 12: 100 Years of Earth System Model Development. Pages 12-1 to 12-66 in AMS Monograph
A Century of Progress in Atmospheric and Related Sciences: Celebrating the American Meteorological Society Centennial.
117 Benjamin, Stanley G., John M. Brown, Gilbert Brunet, Peter Lynch, Kazuo Saito and Thomas W. Schlatter, 2019:
Chapter 13: 100 Years of Progress in Forecasting and NWP Applications. Pages 13-1 to 13-67 in AMS Monograph
A Century of Progress in Atmospheric and Related Sciences: Celebrating the American Meteorological Society Centennial.
116 Peter Lynch, 2019: Laplace Transforms and Exponential Integrators.
Research Activities in Atmospheric and Oceanic Modelling (2019 WGNE Blue Book), pp. 3-03–04. Preprint. PDF.
115 Eoghan Harney & Peter Lynch, 2019: Laplace Transform Integration of a Baroclinic Model.
Quart. J. Roy. Met. Soc., 145, 347-355. Preprint. ArXiV. RMS
114 Peter Lynch, 2018: Pedro Nunes and the Retrogression of the Sun.
Bull. Irish Math. Soc., 81, 23-30. PDF.
113 Peter Lynch, 2017: The Fractal Boundary of the Power Tower Function.
Proceedings of Recreational Mathematics Colloquium V - G4G, 127-138. Preprint (PDF)
112 Peter Lynch, 2016: That's Maths: The Mathematical Magic in Everyday Life
Gill Books, xii+331 pp. Gill Books. Amazon .
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: http://arxiv.org/abs/1512.03700 .
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-A Peter Lynch, 2011: The Development of Computer Weather Forecasting in Ireland
Splanc, 32, 43-45. 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/j.jcp.2007.02.034] 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. PDF file .
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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