Zobrazeno 1 - 10
of 107
pro vyhledávání: '"Eugene O'Riordan"'
Autor:
John J. H. Miller, Eugene O'Riordan
Publikováno v:
Biomath, Vol 9, Iss 2 (2020)
A system of two coupled nonlinear initial value equations, arising in the mathematical modelling of enzyme kinetics, is examined. The system is singularly perturbed and one of the components will contain steep gradients. A priori parameter explicit b
Externí odkaz:
https://doaj.org/article/721ff393b03543ab8ca3716a93bd4901
Since the first edition of this book, the literature on fitted mesh methods for singularly perturbed problems has expanded significantly. Over the intervening years, fitted meshes have been shown to be effective for an extensive set of singularly per
Autor:
Eugene O'Riordan, José Luis Gracia
Publikováno v:
Applied Numerical Mathematics. 162:106-123
A singularly perturbed parabolic problem of convection-diffusion type with a discontinuous initial condition is examined. A particular complimentary error function is identified which matches the discontinuity in the initial condition. The difference
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::89c66f5089c40579349f3fdf3a7adfe7
https://doi.org/10.1016/j.apnum.2020.12.013
https://doi.org/10.1016/j.apnum.2020.12.013
Publikováno v:
Zaguán. Repositorio Digital de la Universidad de Zaragoza
instname
instname
Pointwise accurate numerical methods are constructed and analysed for three classes of singularly perturbed first order transport problems. The methods involve piecewise-uniform Shishkin meshes and the numerical approximations are shown to be paramet
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4ad6fb70449ac10b91bbed90dbf71274
http://zaguan.unizar.es/record/118186
http://zaguan.unizar.es/record/118186
Autor:
José Luis Gracia, Eugene O'Riordan
Publikováno v:
Applied Numerical Mathematics. 146:436-451
Numerical approximations to the solution of a linear singularly perturbed parabolic reaction-diffusion problem with incompatible boundary-initial data are generated. The method involves combining the computational solution of a classical finite diffe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cd3d02e9714a0355f7799266af24d5ee
https://doi.org/10.1016/j.apnum.2019.08.005
https://doi.org/10.1016/j.apnum.2019.08.005
Autor:
Eugene O'Riordan, Alan F. Hegarty
Publikováno v:
Computers & Mathematics with Applications. 78:3329-3344
A finite difference method is constructed for a singularly perturbed convection–diffusion problem posed on an annulus. The method involves combining polar coordinates, an upwind finite difference operator and a piecewise-uniform Shishkin mesh in th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9e826e0647a119ad05bbcad38fcf9be9
https://doi.org/10.1016/j.camwa.2019.05.006
https://doi.org/10.1016/j.camwa.2019.05.006
Publikováno v:
BIT Numerical Mathematics. 60:411-439
The Riemann–Liouville–Caputo (RLC) derivative is a new class of derivative that is motivated by modelling considerations; it lies between the more familiar Riemann–Liouville and Caputo derivatives. The present paper studies a two-point boundary
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d84337637ddf7e2ae51f76f2a03c8760
https://doi.org/10.1007/s10543-019-00777-0
https://doi.org/10.1007/s10543-019-00777-0
Autor:
M. L. Pickett, Eugene O'Riordan
Publikováno v:
O'Riordan, E & Pickett, M 2019, ' Numerical approximations to the scaled first derivatives of the solution to a two parameter singularly perturbed problem ', Journal of Computational and Applied Mathematics, vol. 347, pp. 128-149 . https://doi.org/10.1016/j.cam.2018.08.004
A singularly perturbed problem involving two singular perturbation parameters is discretized using the classical upwinded finite difference scheme on an appropriate piecewise-uniform Shishkin mesh. Scaled discrete derivatives (with scaling only used
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d0e74af50da0d6f78dc6a82961f5293c
https://doi.org/10.1016/j.cam.2018.08.004
https://doi.org/10.1016/j.cam.2018.08.004
Autor:
José Luis Gracia, Eugene O'Riordan
Publikováno v:
Zaguán. Repositorio Digital de la Universidad de Zaragoza
instname
instname
A singularly perturbed parabolic problem of convection-diffusion type with a discontinuous initial condition is examined. An analytic function is identified which matches the discontinuity in the initial condition and also satisfies the homogenous pa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bd7457ea6602c1ba885f5d7003bf53c9
http://zaguan.unizar.es/record/118646
http://zaguan.unizar.es/record/118646
Autor:
Eugene O'Riordan, John J. H. Miller
Publikováno v:
Biomath, Vol 9, Iss 2 (2020)
A system of two coupled nonlinear initial value equations, arising in the mathematical modelling of enzyme kinetics, is examined. The system is singularly perturbed and one of the components will contain steep gradients. A priori parameter explicit b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eca66f93f7d58fdee2de851c1187a42f
https://doi.org/10.11145/j.biomath.2020.08.227
https://doi.org/10.11145/j.biomath.2020.08.227