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An improved algorithm is given for the computation of the coefficients of the interpolating polynomials for cubic natural splines with equi-spaced knots. By solving the continuity equation recursively, a gain in computation efficiency is obtained and the requirement of previous techniques for exact computation is eliminated.doi:10.1090/s0025-5718-1973-0326982-6 fatcat:7d56g3iuzvdmppo4y33mfhpgze