Geodesic
Robust a posteriori error bounds for spline collocation applied to singularly perturbed reaction-diffusion problems
Electronic transactions on numerical analysis, Tome 45 (2016), pp. 342-353.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Collocation with arbitrary order $C^1$-splines for a singularly perturbed reaction-diffusion problem in one dimension is studied. Robust a posteriori error bounds are derived for the collocation method on arbitrary meshes. These bounds are used to drive an adaptive mesh moving algorithm. Numerical results are presented.
Classification : 65L10, 65L11, 65L60
Keywords: reaction-diffusion, spline collocation, singular perturbations, a posteriori error estimation 
@article{ETNA_2016__45__a8,
     author = {Linss, Torsten and Radojev, Goran},
     title = {Robust a posteriori error bounds for spline collocation applied to singularly perturbed reaction-diffusion problems},
     journal = {Electronic transactions on numerical analysis},
     pages = {342--353},
     publisher = {mathdoc},
     volume = {45},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2016__45__a8/}
}
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Linss, Torsten; Radojev, Goran. Robust a posteriori error bounds for spline collocation applied to singularly perturbed reaction-diffusion problems. Electronic transactions on numerical analysis, Tome 45 (2016), pp. 342-353. http://geodesic.mathdoc.fr/item/ETNA_2016__45__a8/