@article{oai:chuo-u.repo.nii.ac.jp:00001269,
 author = {山村, 清隆 and 高橋, 朋弘 and 小林, 一哉},
 journal = {中央大学理工学研究所論文集},
 month = {Mar},
 note = {application/pdf, Nonlinear boundary value problems often have several solutions. In such a case, it is important to find all solutions of the finite difference equations that describe the nonlinear boundary value problems. Various algorithms have been proposed for finding all solutions of nonlinear equations. However, since the computation time of most of these algorithms grows exponentially with the number of variables, it is difficult to apply them to finite difference equations that generally consist of many variables. Recently, an efficient algorithm has been proposed for finding all solutions of piecewise-linear resistive circuits using linear programming. In this paper, we apply this algorithm to a class of nonlinear two-point boundary value problems. By numerical examples, it is shown that the algorithm could find all solutions of systems of 300 finite difference equations (where the number of linear regions is 10300) in practical computation time using a 360MHz computer., 【査読有】},
 pages = {19--28},
 title = {線形計画法を用いたあるクラスの非線形 2 点境界値問題の全解探索法},
 volume = {6},
 year = {2001},
 yomi = {ヤマムラ, キヨタカ and タカハシ, トモヒロ and コバヤシ, カズヤ}
}