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Home/Magazine Archive/April 1965 (Vol. 8, No. 4)/Wengert's numerical method for partial derivatives.../Abstract

Wengert's numerical method for partial derivatives, orbit determination and quasilinearization

By R. E. Bellman, H. Kagiwada, R. E. Kalaba
Communications of the ACM, April 1965, Vol. 8 No. 4, Pages 231-232
10.1145/363831.364886
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In a recent article in the Communications of the ACM, R. Wengert suggested a technique for machine evaluation of the partial derivatives of a function given in analytical form. In solving nonlinear boundary-value problems using quasilinearization many partial derivatives must be formed analytically and then evaluated numerically. Wengert's method appears very attractive from the programming viewpoint and permits the treatment of large systems of differential equations which might not otherwise be undertaken.

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