Central Difference Approximations First-order derivatives: 2n additional function calls are needed. Second-order derivatives based on function calls only, when the "grd" module is not specified ...

Hansraj Gupta, Finite Differences of the Partition Function, Mathematics of Computation, Vol. 32, No. 144 (Oct., 1978), pp. 1241-1243 ...

By using of the interpolation formulas for the spaces of discrete functions with unequal meshsteps and the method of a priori estimation for the discrete solutions of finite difference schemes with ...

The very large theory of difference equations in the field of analytic functions of a complex variable has been completely omitted.

These are known as the radial-basis-function generated finite-difference method and the Hermite finite-difference method. The convergence and stability of these schemes are investigated numerically ...

Computing derivatives by finite-difference approximations can be very time consuming, especially for second-order derivatives based only on values of the objective function (FD= option). If analytical ...