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1.1 MATHMATICS, 1.2 COMPUTER AND INFORMATION SCIENCE
Several step-by-step methods for the computer solution systems of coupled second-order ordinary differential equations, are examined from the point of view of efficiency “time-wise” and “storage-wise”. Particular reference is made to a system arising in the close-coupling approximation of the Schroedinger equation. The stability of the solution is also considered.
O'Shea, B. (1978). Algorithms for the solution of systems of coupled second-order ordinary differential equations. Journal of Computational and Applied Mathematics, vol. 4, no. 1, 1978. doi:10.1016/0771-050X(78)90014-1