%0 Journal Article %1 ng79:JCP-33-70 %A Ng, B. S. %A Reid, W. H. %D 1979 %J Journal of Computational Physics %K 65l10-numerical-analysis-odes-bvps %R 10.1016/0021-9991(79)90028-7 %T A numerical method for linear two-point boundary-value problems using compound matrices %V 33 %X An initial-value method, based on the use of certain compound matrices, is presented for the treatment of mathematically unstable two-point boundary-value problems. A distinctive feature of the method is that the solution is obtained from an auxiliary equation which is mathematically stable and it thereby avoids the well-known difficulties associated with, for example, the method of complementary functions. The method is described in detail for fourth-order equations but it is also shown how the method can easily be adapted to deal with second- and third-order equations.

@article{ng79:JCP-33-70, abstract = {An initial-value method, based on the use of certain compound matrices, is presented for the treatment of mathematically unstable two-point boundary-value problems. A distinctive feature of the method is that the solution is obtained from an auxiliary equation which is mathematically stable and it thereby avoids the well-known difficulties associated with, for example, the method of complementary functions. The method is described in detail for fourth-order equations but it is also shown how the method can easily be adapted to deal with second- and third-order equations.}, added-at = {2017-06-29T07:13:07.000+0200}, author = {Ng, B. S. and Reid, W. H.}, biburl = {https://www.bibsonomy.org/bibtex/2bc6115a2bb904ff2a8d82b32bc5873a1/gdmcbain}, citeulike-article-id = {2442191}, doi = {10.1016/0021-9991(79)90028-7}, interhash = {6e851fd54ec9e3ce585453dcbbfae524}, intrahash = {bc6115a2bb904ff2a8d82b32bc5873a1}, journal = {Journal of Computational Physics}, keywords = {65l10-numerical-analysis-odes-bvps}, posted-at = {2008-02-28 10:11:02}, priority = {2}, timestamp = {2019-11-10T23:53:22.000+0100}, title = {A numerical method for linear two-point boundary-value problems using compound matrices}, volume = 33, year = 1979 }