Delta-2

Delta-2 is a process of Accélération of continuations in Mathématiques discovered by the mathematician Alexander Aitken in 1926.

This process is in particular used to accelerate the algorithm of decomposition of field of the type Schwarz (additives and multiplicative). Indeed, one can notice that under certain conditions, the coefficients of Fourier related to the reiterated solutions obtained have a purely linear convergence. By this principle, one can reduce the full number of iterations of the algorithm to 3 or 5 iterations for problems 1D or 2D (respectively).

It is especially used in numerical analysis to accelerate certain convergent continuations and other close relations of its core. Thus, the desired value is more precise and more accessible; one can perhaps by this way solve major problems such as the method of Monte Carlo.

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