Numerical Methods via Transformations
This article begins with the setting of equi-spaced approximation, and then connects these methods with various other numerical methods via simple transformations. In particular, one thus traverses the classes of methods to which Gautschi made many contributions. We also comment on the multistep formulas derived by Gautschi, based on exactness for trigonometric polynomials which deserves further study, owing to its potential power.
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