A general formula is developed which gives the "best" approximation for any linear functional on the Hardy space H 2. Some "best" approximations are given for interpolation, differentiation, and ...

This unit is intended to serve as a first course in numerical analysis. As such the fundamental areas of root finding, numerical differentiation, numerical integration and solving ordinary ...

Description: Error analysis, solution of nonlinear equations, direct and iterative methods for solving linear systems, approximation of functions, numerical ...

SIAM Journal on Numerical Analysis, Vol. 3, No. 1 (Mar., 1966), pp. 143-156 (14 pages) In the numerical solution of operator equations Fx = 0, discretization of the equation and then application of ...

Fractional calculus extends the classical concepts of differentiation and integration to non-integer orders, providing a sophisticated framework for modelling memory and hereditary effects in complex ...