论文信息 - Invariant imbedding and the numerical integration of boundary-value problems for unstable linear systems of ordinary differential equations

Invariant imbedding and the numerical integration of boundary-value problems for unstable linear systems of ordinary differential equations

Abstract : In such diverse areas as radiative transfer in planetary atmospheres and optimal guidance and control, two-point boundary-value problems for unstable systems arise, greatly complicating the numerical solution. An invariant imbedding technique is presented which is useful in overcoming these frequently encountered instabilities, and the results of some numerical experiments are presented. (Author)

[1] R. Bellman,et al. Quasilinearization and nonlinear boundary-value problems , 1966 .

[2] Robert E. Kalaba,et al. Invariant Imbedding and a Reformulation of the Internal Intensity Problem in Radiative Transfer Theory , 1966 .

[3] H. Keller,et al. Approximate Solutions of Transport Problems. II. Convergence and Applications of the Discrete Ordinate Method , 1960 .

[4] J. E. Kelley. Modern Computing Methods , 1959 .

[5] Richard Bellman,et al. Invariant imbedding and the integration of Hamilton’s equations , 1963 .

[6] Robert E. Kalaba,et al. Transport theory and invariant imbedding. , 1959 .