Thus, to approximate limits with reasonable accuracy, it is necessary to compute a large number of terms, and this is in general costly. Īn important problem that arises in many scientific and engineering applications is that of approximating limits of infinite sequences which in most instances converge very slowly. These limits can be approximated economically and with high accuracy by applying suitable extrapolation (or convergence acceleration) methods to a small number of terms. It differs from existing books by concentrateing on the most powerful nonlinear methods, presenting in-depth treatments of them, and showing which methods are most effective for different classes of practical nontrivial problems.An important problem that arises in many scientific and engineering applications is that of approximating limits of infinite sequences which in most instances converge very slowly. The methods discussed are geared toward common problems in scientific and engineering disciplines. This state-of-the art reference for mathematicians, scientists and engineers is concerned with the coherent treatment, including derivation, analysis, and applications, of the most useful scalar extrapolation methods. An important problem that arises in many scientific and engineering applications is that of approximating limits of infinite sequences which in most instances converge very slowly.
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