Zobrazeno 1 - 7
of 7
pro vyhledávání: '"M. L. Pickett"'
Publikováno v:
Mathematical Modelling and Analysis, Vol 11, Iss 2 (2006)
A priori parameter explicit bounds on the derivatives of the solution of a two parameter singularly perturbed elliptic problem in two space dimensions are presented. These bounds are used to establish parameter uniform error bounds for a numerical me
Externí odkaz:
https://doaj.org/article/36a93a58e66241b9811b4e53dda1ec71
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:
M. L. Pickett, Eugene O'Riordan
Publikováno v:
Advances in Computational Mathematics. 35:57-82
In this paper, a class of singularly perturbed elliptic partial differential equations posed on a rectangular domain is studied. The differential equation contains two singular perturbation parameters. The solutions of these singularly perturbed prob
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4ab59b4078105507cee079e802da0f9b
https://doi.org/10.1007/s10444-010-9164-1
https://doi.org/10.1007/s10444-010-9164-1
Publikováno v:
Applied Numerical Mathematics. 56:962-980
In this paper a second order monotone numerical method is constructed for a singularly perturbed ordinary differential equation with two small parameters affecting the convection and diffusion terms. The monotone operator is combined with a piecewise
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::21ac42ce60751041ee834f1b154eff7c
https://doi.org/10.1016/j.apnum.2005.08.002
https://doi.org/10.1016/j.apnum.2005.08.002
Publikováno v:
Mathematical Modelling and Analysis, Vol 11, Iss 2 (2006)
Mathematical Modelling and Analysis; Vol 11 No 2 (2006); 199-212
Mathematical Modelling and Analysis; Vol 11 No 2 (2006); 199-212
A priori parameter explicit bounds on the derivatives of the solution of a two parameter singularly perturbed elliptic problem in two space dimensions are presented. These bounds are used to establish parameter uniform error bounds for a numerical me
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::143912262bd8ed164d1f0e3b107ece1b
https://doi.org/10.3846/13926292.2006.9637313
https://doi.org/10.3846/13926292.2006.9637313
Publikováno v:
Mathematics of Computation. 75:1135-1155
In this paper, parameter-uniform numerical methods for a class of singularly perturbed parabolic partial differential equations with two small parameters on a rectangular domain are studied. Parameter-explicit theoretical bounds on the derivatives of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0ee13fcfb668c39aacc62a7bd6c2c1c2
https://doi.org/10.1090/s0025-5718-06-01846-1
https://doi.org/10.1090/s0025-5718-06-01846-1
Publikováno v:
Mathematics of Computation; 2006, Vol. 75 Issue 255, p1135-1154, 20p