During computation if a numerical valueα<machine epsilon (and, of course, larger than the dwarf) then adding this value α to another value b will keep the result b only. Such a situation may lead to an infinit
Examples are given of the type of results which may be obtained from defective rectangular and annular crystals.doi:10.1016/0041-5553(63)90386-0Elsevier B.V.USSR Computational Mathematics and Mathematical PhysicsA. A. Samarskii and I. M. Sobol’, “Examples of Numerical Computation of Heat ...
Twitter Google Share on Facebook numerical analysis (redirected fromNumerical computation) Thesaurus Encyclopedia numerical analysis n. The study of approximation techniques for solving mathematical problems, taking into account the extent of possible errors. ...
A simple and effective iterative solving scheme is described. The computation of the antenna impedance in postprocessing is discussed. Examples are also provided to explain the method.doi:10.1080/02726340290083987Alfonzetti, SalvatoreAzzerboni, BrunoBorzì, Giuseppe...
Numerical Computation with ValidationNumerical Computation with ValidationIn order to conform to mathematical standards, numerical computations should produce results accompanied by a guarantee of their validity, or else a statement that validated results could not be obtained. The problem of validation of ...
In current section, two examples are discussed to confirm the effectiveness of the FDIS for 2D FCE. In the proposed iterative method combined method is executed over the different time and mesh sizes. The numerical simulation is done using the PC with 4GB RAM, core i3, Windows 7, 3.40 GHz...
By considering inner products of vectors as units of computation, it is shown that drastic reduction of numbers of changing rounding direction in achieved. Moreover, by this approach programming of verification becomes extremely simple. Taking examples such as the matrix equation, polynomial evaluation...
The set of selected characters seemed much more important for determining the final results than the numerical method used in computation. The polarity of character states did not substantially influence the final results. Consensus trees and the bootstrap method are the most promising techniques in ...
Supplementary Section S4 gives additional proofs and examples that perform the analysis using the rank of the Vandermonde matrix W in Eq. (4) instead of the elements of the generating vector u, which is defined by Eq. (11). In other words, the proof in this section is based on the sing...
This induces an additional computation effort [7,89,100]. On the other hand, it can be noted that algorithm B naturally enforces the normalization condition that was discussed in Section 3.1.2. This is a strong point of this discrete formulation as it guarantees, as a by-product, that ...