Geodesic
Exponentially fitted scheme for a singularly perturbed problem
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 4, pp. 669-676

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A singularly perturbed problem with a turning point is considered. Its approximate solution is found by applying an exponentially fitted scheme on an equidistant mesh. The solutions produced by the scheme are proved to converge uniformly with respect to the perturbation parameter to the solution of the original differential problem within the first order accuracy. 
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     author = {K. V. Emel'yanov},
     title = {Exponentially fitted scheme for a singularly perturbed problem},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {669--676},
     publisher = {mathdoc},
     volume = {45},
     number = {4},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_4_a9/}
}
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K. V. Emel'yanov. Exponentially fitted scheme for a singularly perturbed problem. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 4, pp. 669-676. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_4_a9/