Uniform Convergence via Preconditioning.
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@Article{IJNAMB-5-347,
author = {RELJA VULANOVI ́C AND TH ́AI ANH NHAN},
title = { Uniform Convergence via Preconditioning.},
journal = {International Journal of Numerical Analysis Modeling Series B},
year = {2014},
volume = {5},
number = {4},
pages = {347--356},
abstract = {The linear singularly perturbed convection-diffusion problem in one dimension is
considered and its discretization on the Shishkin mesh is analyzed. A new, conceptually simple
proof of pointwise convergence uniform in the perturbation parameter is provided. The proof is
based on the preconditioning of the discrete system.},
issn = {},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnamb/239.html}
}
TY - JOUR
T1 - Uniform Convergence via Preconditioning.
AU - RELJA VULANOVI ́C AND TH ́AI ANH NHAN
JO - International Journal of Numerical Analysis Modeling Series B
VL - 4
SP - 347
EP - 356
PY - 2014
DA - 2014/05
SN - 5
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnamb/239.html
KW - singular perturbation
KW - convection-diffusion
KW - boundary-value problem
KW - Shishkin mesh
KW - finite differences
KW - uniform convergence
KW - preconditioning
AB - The linear singularly perturbed convection-diffusion problem in one dimension is
considered and its discretization on the Shishkin mesh is analyzed. A new, conceptually simple
proof of pointwise convergence uniform in the perturbation parameter is provided. The proof is
based on the preconditioning of the discrete system.
RELJA VULANOVI ́C AND TH ́AI ANH NHAN. (2014). Uniform Convergence via Preconditioning..
International Journal of Numerical Analysis Modeling Series B. 5 (4).
347-356.
doi:
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