Simon Fraser University

Finite Difference Approximations of Derivatives

The FD= and FDHESSIAN= options specify the use of finite difference approximations of the derivatives. The FD= option specifies that all derivatives are approximated using function evaluations, and ...
JSTOR Daily

Polynomial Approximation of a Function and Its First Derivative in Near Minimax Norms

Two near minimax norms for polynomial approximation are presented. They are designed for approximation of both a function and its first derivative uniformly by polynomials over a given finite interval ...
JSTOR Daily

Studies on Error Propagation for Certain Nonlinear Approximations to Hyperbolic Equations: Discontinuities in Derivatives

SIAM Journal on Numerical Analysis, Vol. 31, No. 3 (Jun., 1994), pp. 655-679 (25 pages) The accuracy of numerical approximations to piecewise smooth solutions of hyperbolic partial differential ...
Nature

Function Approximation and Sobolev Spaces

Function approximation, a central theme in numerical analysis and applied mathematics, seeks to represent complex functions through simpler or more computationally tractable forms. In this context, ...