Zobrazeno 1 - 10
of 436
pro vyhledávání: '"J F Williams"'
Publikováno v:
Applied Numerical Mathematics. 161:101-110
We propose and investigate a Chebyshev spectral collocation method for solving mixed functional differential equations. One can usually not solve these equations analytically, and hence one must employef numerical methods. Our method is for boundary
Publikováno v:
BMJ Military Health. 166:396-400
IntroductionChanges of environment brought about by deployments are often attributed to an increase in smoking of service personnel. Electronic cigarettes are recognised as being a viable aid to quitting smoking but are currently banned from sale in
Autor:
Jan Bouwe van den Berg, J. F. Williams
Publikováno v:
Van Den Berg, J B & Williams, J F 2019, ' Rigorously computing symmetric stationary states of the Ohta-Kawasaki problem in three dimensions ', SIAM Journal on Mathematical Analysis, vol. 51, no. 1, pp. 131-158 . https://doi.org/10.1137/17M1155624
SIAM Journal on Mathematical Analysis, 51(1), 131-158. Society for Industrial and Applied Mathematics Publications
SIAM Journal on Mathematical Analysis, 51(1), 131-158. Society for Industrial and Applied Mathematics Publications
In this paper we develop a symmetry preserving method for the rigorous computation of stationary states of the Ohta-Kawasaki partial differential equation in three space dimensions. By preserving the relevant symmetries we achieve an enormous reducti
Autor:
Jan Bouwe van den Berg, J. F. Williams
Publikováno v:
van den Berg, J B & Williams, J F 2021, ' Optimal periodic structures with general space group symmetries in the Ohta–Kawasaki problem ', Physica D: Nonlinear Phenomena, vol. 415, 132732, pp. 1-23 . https://doi.org/10.1016/j.physd.2020.132732
Physica D: Nonlinear Phenomena, 415:132732, 1-23. Elsevier
Physica D: Nonlinear Phenomena, 415:132732, 1-23. Elsevier
We consider the problem of rigorously computing periodic minimizers to the Ohta–Kawasaki energy. We develop a method to prove existence of solutions and determine rigorous bounds on the distance between our numerical approximations and the true inf
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1ff3906eb59e5a1378f4717992c69d69
https://hdl.handle.net/1871.1/9111531f-341e-4357-b50d-5fb025f68621
https://hdl.handle.net/1871.1/9111531f-341e-4357-b50d-5fb025f68621
Autor:
János Dudás, Julien Courtois, István Balázs, Jan Bouwe van den Berg, Anett Vörös-Kiss, Jean-Philippe Lessard, J. F. Williams, Xi Yuan Yin
Publikováno v:
van den Berg, J B, Balázs, I, Courtois, J, Dudás, J, Vörös-Kiss, A, Yin, X Y, Williams, J F & Lessard, J-P 2018, ' Computer-assisted proofs for radially symmetric solutions of PDEs ', Journal of Computational Dynamics, vol. 5, no. 1&2, pp. 61-80 . https://doi.org/10.3934/jcd.2018003
Journal of Computational Dynamics, 5(1&2), 61-80. American Institute of Mathematical Sciences
Journal of Computational Dynamics, 5(1&2), 61-80. American Institute of Mathematical Sciences
We obtain radially symmetric solutions of some nonlinear (geometric) partial differential equations via a rigorous computer-assisted method. We introduce all main ideas through examples, accessible to non-experts. The proofs are obtained by solving f
Publikováno v:
California Agriculture, Vol 44, Iss 5, Pp 7-10 (1990)
A strategy of slightly deeper water, no draining, and lower grass herbicide rates can help rice growers maintain weed control and sustain high yields while lowering the economic and runoff costs of herbicides.
Externí odkaz:
https://doaj.org/article/4840416b5eae4982bcf2a9883b8bbf1d
Autor:
J. F. Williams
Publikováno v:
International Conference on Sustainable Infrastructure 2019.
Publikováno v:
van den Berg, G J B, Groothedde, C M & Williams, J F 2015, ' Rigorous Computation of a Radially Symmetric Localized Solution in a Ginzburg–Landau Problem ', SIAM Journal on Applied Dynamical Systems, vol. 14, no. 1, pp. 423-447 . https://doi.org/10.1137/140987973
SIAM Journal on Applied Dynamical Systems, 14(1), 423-447. Society of Industrial and Applied Mathematics
SIAM Journal on Applied Dynamical Systems, 14(1), 423-447. Society of Industrial and Applied Mathematics
We present a rigorous numerical method for proving the existence of a localized radially symmetric solution for a Ginzburg--Landau-type equation. This has a direct application to the problem of finding spots in the Swift--Hohenberg equation. The meth
Publikováno v:
Journal of Computational Physics. 230:3302-3330
In this work, we describe an approach for higher dimensional adaptive grid generation based on solving the L^2 Monge-Kantorovich problem (MKP) which is a special case of the classical optimal mass transportation problem. Two methods are developed for
Publikováno v:
Applied Numerical Mathematics. 61:298-307
In this paper, we present a new method to compute the numerical solution of the elliptic Monge-Ampere equation. This method is based on solving a parabolic Monge-Ampere equation for the steady state solution. We study the problem of global existence,