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We present a simple systematic construction and analysis of solutions of the two-dimensional parabolic wave equation that exhibit far-field localisation near a given algebraic plane curve. Our solutions are complex contour integral superpositions of
Externí odkaz:
http://arxiv.org/abs/1806.02294
Publikováno v:
In International Journal of Solids and Structures 15 October 2022 253
Autor:
Connaughton, Colm, Ockendon, John R.
We combine a simple quasi-geostrophic flow model with the Zabusky-McWilliams theory of atmospheric vortex dynamics to address a hurricane-tracking problem of interest to the insurance industry. This enables us to make predictions about the "follow-my
Externí odkaz:
http://arxiv.org/abs/1106.3790
Publikováno v:
SIAM Journal on Applied Mathematics, 2018 Jan 01. 78(4), 2154-2175.
Externí odkaz:
https://www.jstor.org/stable/45093460
The question about the existence and characterization of bounded solutions to linear functional-differential equations with both advanced and delayed arguments was posed in early 1970s by T. Kato in connection with the analysis of the pantograph equa
Externí odkaz:
http://arxiv.org/abs/math/0703897
Publikováno v:
SIAM Journal on Applied Mathematics, 2010 Jan 01. 70(7/8), 2729-2749.
Externí odkaz:
https://www.jstor.org/stable/41111177
Autor:
Novokshanov, Roman, Ockendon, John
Publikováno v:
Proceedings: Mathematical, Physical and Engineering Sciences, 2006 Dec 01. 462(2076), 3663-3681.
Externí odkaz:
https://www.jstor.org/stable/20209093
Akademický článek
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Autor:
Allwright, David, Ballu, Marin, Correia, Joaquim M C, Chakraborty, Abishek, Cuminato, José, Ewetola, Michael, Grinfeld, Michael, Hall, Cameron, Hinch, John, Lacey, Andrew, Luong, Karen, Moreton, Gavin, Ockendon, John, Purvis, Richard, Sobral, Yuri D, Costa, Rita Teixeira da, Zhou, Yang
Publikováno v:
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Agência para a Sociedade do Conhecimento (UMIC)-FCT-Sociedade da Informação
instacron:RCAAP
Agência para a Sociedade do Conhecimento (UMIC)-FCT-Sociedade da Informação
instacron:RCAAP
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______3056::691869623a2ed6c709fd5abbd8367a0b
https://ecmiindmath.org/study-groups/
https://ecmiindmath.org/study-groups/
Publikováno v:
Chinese Journal of Geophysics. 54:864-869
This paper presents a dual-parameter regularization method with a term that has a second order regularization operator. The optimal value of the regularization parameter is determined by applying the L-curve criterion, the discrepancy principle and g