Computer programs for interpolations

Numerical evaluations have been performed on recent solution algorithms for interpolations through practical benchmark testings. Computer programs adopted for the present tests are those based on the Lagrange polynomial method, Aitken-Lagrange iterative method, the continued fraction iterative method, the spline method, and Akima's method, for uni-variate interpolations. In addition, programs using the spline method and Akima's method are tested for bi-variate interpolations. The results have shown that Akima's method is the best in every respect and hence it should take the place of the spline method used most often at present. In Appendix, input examples with job control cards are given for all tested programs and Anderson's program list rewritten in the standard FORTRAN for ter-variate interpolations. (auth.)