caa a22 4500 467939144 CHVBK 20180406153007.0 cr unu---uuuuu 170328e20060101xx s 000 0 eng 10.1007/s10444-004-7641-0 doi (NATIONALLICENCE)springer-10.1007/s10444-004-7641-0 Chen Yanping Department of Mathematics, Xiangtan University, Hunan, People's Republic of China aut Uniform convergence analysis of finite difference approximations for singular perturbation problems on an adapted grid [Elektronische Daten] [Yanping Chen] A singularly perturbed two-point boundary value problem with an exponential boundary layer is solved numerically by using an adaptive grid method. The mesh is constructed adaptively by equidistributing a monitor function based on the arc-length of the approximated solutions. A first-order rate of convergence, independent of the perturbation parameter, is established by using the theory of the discrete Green's function. Unlike some previous analysis for the fully discretized approach, the present problem does not require the conservative form of the underlying boundary value problem. Springer, 2006 singular perturbation nationallicence moving mesh nationallicence rate of convergence nationallicence error estimate nationallicence Advances in Computational Mathematics Kluwer Academic Publishers 24/1-4(2006-01-01), 197-212 1019-7168 24:1-4<197 2006 24 10444 https://doi.org/10.1007/s10444-004-7641-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10444-004-7641-0 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Chen Yanping Department of Mathematics, Xiangtan University, Hunan, People's Republic of China aut NATIONALLICENCE 773 0- Advances in Computational Mathematics Kluwer Academic Publishers 24/1-4(2006-01-01), 197-212 1019-7168 24:1-4<197 2006 24 10444 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer