SIAM Journal on Numerical Analysis, Vol. 34, No. 1 (Feb., 1997), pp. 22-47 (26 pages) We suggest a general method for the construction of highly continuous interpolants for one-step methods applied to ...

The use of computer algebra systems in a course on scientific computation is demonstrated. Various examples, such as the derivation of Newton's iteration formula, the secant method, Newton-Cotes and ...