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 ...

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 ...

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

SIAM Journal on Numerical Analysis, Vol. 49, No. 3/4 (2011), pp. 945-969 (25 pages) We present an unconditionally energy stable finite difference scheme for the Modified Phase Field Crystal equation, ...

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 ...