Discover the optimal finite-difference scheme for the Helmholtz equation and a proven method to solve it. Explore the tested efficiency and accuracy on various examples.

Explore the qualitative behavior of solutions in a difference equation with positive coefficients and arbitrary initial conditions. Discover more in this scientific paper.

Also, the solutions to linear difference equations over the circle group can be simply described in a fashion which an example shows cannot be extended to all compact abelian groups.

The empirical distribution functions of the least squares estimators and test statistics in a system of stochastic difference equation are studied. The general conclusion is that the empirical ...