Zobrazeno 1 - 10
of 36
pro vyhledávání: '"Judith Bunder"'
Publikováno v:
Numerische Mathematik. 149:229-272
Equation-free macroscale modelling is a systematic and rigorous computational methodology for efficiently predicting the dynamics of a microscale complex system at a desired macroscale system level. In this scheme, a given microscale model is compute
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9db4e4c95152820b2c70254cee0b108c
https://doi.org/10.1007/s00211-021-01232-5
https://doi.org/10.1007/s00211-021-01232-5
Publikováno v:
IEEE Journal on Multiscale and Multiphysics Computational Techniques. 6:8-15
Scientists and engineers often create accurate, trustworthy, computational simulation schemes—but all too often these are too computationally expensive to execute over the time or spatial domain of interest. The equation-free approach is to marry s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::15c520a825f8b668795231aa5331875f
https://doi.org/10.1109/jmmct.2021.3054012
https://doi.org/10.1109/jmmct.2021.3054012
Publikováno v:
Numerical Algorithms. 87:1729-1748
The ‘equation-free toolbox’ empowers the computer-assisted analysis of complex, multiscale systems. Its aim is to enable scientists and engineers to immediately use microscopic simulators to perform macro-scale system level tasks and analysis, be
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::44eecbfba56b6002d697fcc73c576f27
https://doi.org/10.1007/s11075-020-01027-z
https://doi.org/10.1007/s11075-020-01027-z
Autor:
Anthony Roberts, Judith Bunder
Publikováno v:
Partial Differential Equations in Applied Mathematics. 6:100449
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::149162b567a76e49ec917f03c05ed0c3
https://doi.org/10.1016/j.padiff.2022.100449
https://doi.org/10.1016/j.padiff.2022.100449
Publikováno v:
ANZIAM Journal. 61:270-285
The Kuramoto–Sivashinsky equation is a prototypical chaotic nonlinear partial differential equation (PDE) in which the size of the spatial domain plays the role of a bifurcation parameter. We investigate the changing dynamics of the Kuramoto–Siva
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::83c2e76d4ca4b46444d1a285ea3090e2
https://doi.org/10.21914/anziamj.v61i0.13939
https://doi.org/10.21914/anziamj.v61i0.13939
Autor:
Judith Bunder, Anthony J. Roberts
Publikováno v:
SN Applied Sciences, Vol 3, Iss 7, Pp 1-28 (2021)
Many multiscale physical scenarios have a spatial domain which is large in some dimensions but relatively thin in other dimensions. These scenarios includes homogenization problems where microscale heterogeneity is effectively a ‘thin dimension’.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7b04c98d2898198b317d7a10b7940993
https://doi.org/10.1007/s42452-021-04229-9
https://doi.org/10.1007/s42452-021-04229-9
Publikováno v:
ANZIAM Journal. 61
EMAC 2019 UNSW Canberra, Australia 26th Nov–29th Nov 2019 This Special Section of the ANZIAM Journal (Electronic Supplement) contains the refereed papers from the 14th Engineering Mathematics and Applications Conference (EMAC2019), which was held a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aa3d6aeb622fdf1bf61c43294a4a5cf8
https://doi.org/10.21914/anziamj.v61i0.15015
https://doi.org/10.21914/anziamj.v61i0.15015
Autor:
Anthony J. Roberts, Judith Bunder
Publikováno v:
Applied Mathematics and Computation. 304:164-179
We consider a general method for the macroscale modelling of nonlinear, nonautomomous partial differential equations or difference equations.Our method is able to resolve the complex fluctuations which arise in nonliner, nonautonomous systems.These f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::45b5d6c115de1dd2509a0a88b107bcbf
https://doi.org/10.1016/j.amc.2017.01.056
https://doi.org/10.1016/j.amc.2017.01.056
Publikováno v:
Journal of Computational Physics. 337:154-174
Computational simulation of microscale detailed systems is frequently only feasible over spatial domains much smaller than the macroscale of interest. The ‘equation-free’ methodology couples many small patches of microscale computations across sp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bda50a80516b75c5be1a8b998bec7d5f
https://doi.org/10.1016/j.jcp.2017.02.004
https://doi.org/10.1016/j.jcp.2017.02.004
Publikováno v:
SIAM Journal on Scientific Computing. 38:C335-C371
Massive parallelization has lead to a dramatic increase in available computational power. However, data transfer speeds have failed to keep pace and are the major limiting factor in the development of exascale computing. New algorithms must be develo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6d61bb96c4c90fb38c3c727096a482fe
https://doi.org/10.1137/15m1015005
https://doi.org/10.1137/15m1015005