Zobrazeno 1 - 10
of 77
pro vyhledávání: '"Brynjulf Owren"'
Publikováno v:
Modeling, Identification and Control, Vol 27, Iss 4, Pp 201-218 (2006)
Using the notion of integrating factors, Lawson developed a class of numerical methods for solving stiff systems of ordinary differential equations. However, the performance of these "Generalized Runge - Kutta processes" was demonstrably poorer when
Externí odkaz:
https://doaj.org/article/f93b59e886e946e48518b4919950fc9d
Publikováno v:
Modeling, Identification and Control, Vol 18, Iss 1, Pp 75-88 (1997)
During the last few years, different approaches for integrating ordinary differential equations on manifolds have been published. In this work, we consider two of these approaches. We present some numerical experiments showing benefits and some pitfa
Externí odkaz:
https://doaj.org/article/4731cfb474244d2cbe273e04776b330b
We present several novel examples of integrable quadratic vector fields for which Kahan's discretization method preserves integrability. Our examples include generalized Suslov and Ishii systems, Nambu systems, Riccati systems, and the first Painlev\
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::acbe3128e59ac68eac6579502787d708
Autor:
Brynjulf Owren, Charles Curry
Publikováno v:
IFAC-PapersOnLine. 54:103-107
Autor:
Carola-Bibiane Schönlieb, Matthias J. Ehrhardt, Brynjulf Owren, Elena Celledoni, Martin Benning
Publikováno v:
IFAC-PapersOnLine. 54:620-623
We briefly review recent work where deep learning neural networks have been interpreted as discretisations of an optimal control problem subject to an ordinary differential equation constraint. We report here new preliminary experiments with implicit
Publikováno v:
Mathematics of Computation. 89:2785-2799
We relate the classical and post-Lie Magnus expansions. Intertwining algebraic and geometric arguments allows to placing the classical Magnus expansion in the context of Lie group integrators.
Comment: final version
Comment: final version
Publikováno v:
Journal of Computational and Applied Mathematics
Recently, there has been an increasing interest in modelling and computation of physical systems with neural networks. Hamiltonian systems are an elegant and compact formalism in classical mechanics, where the dynamics is fully determined by one scal
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c494b54887a915fb1fe5f694828282bb
https://hdl.handle.net/11250/3034521
https://hdl.handle.net/11250/3034521
Publikováno v:
Mathematics in Industry ISBN: 9783031118173
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1d2eb91c90addf300469d50ea8af41eb
https://doi.org/10.1007/978-3-031-11818-0_39
https://doi.org/10.1007/978-3-031-11818-0_39
Autor:
Christian Etmann, Matthias J. Ehrhardt, Ferdia Sherry, Elena Celledoni, Carola-Bibiane Schönlieb, Brynjulf Owren, Robert I.. McLachlan
Publikováno v:
Celledoni, E, Ehrhardt, M J, Etmann, C, McLachlan, R I, Owren, B, Schonlieb, C B & Sherry, F 2021, ' Structure-preserving deep learning ', European Journal of Applied Mathematics, vol. 32, no. 5, pp. 888-936 . https://doi.org/10.1017/S0956792521000139
Over the past few years, deep learning has risen to the foreground as a topic of massive interest, mainly as a result of successes obtained in solving large-scale image processing tasks. There are multiple challenging mathematical problems involved i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dec4c651cb307aad46b10586a7f1706a
https://purehost.bath.ac.uk/ws/files/205822347/2006.03364v1.pdf
https://purehost.bath.ac.uk/ws/files/205822347/2006.03364v1.pdf
Autor:
Charles Curry, Brynjulf Owren
Publikováno v:
Numerical Algorithms
We introduce variable step size commutator free Lie group integrators, where the error control is achieved using embedded Runge–Kutta pairs. These are schemes for the integration of initial value problems posed on homogeneous spaces by means of Lie