L. H. de Figueiredo, J. Stol, Metodos numericos auto-validados e aplicac~oes, Braz. Math. Colloq. 21, IMPA, 1997 Home/Search Document Not in Database Summary Related Articles |
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Computational algorithms for ordinary differential equations - Tucker (1999) (Correct)
....into nine cases (depending of the signs of the endpoints) where only one case involves more than two multiplications. Moreover, the formula for division can be modi ed for improved accuracy. When computing with nite precision, directed rounding must also be taken into account, see e.g. 2] 3] [1]. It follows immediately from the de nitions that addition and multiplication are both associative and commutative. The distributive law, however, does not always hold. As an example, we have [ 1; 1] 1; 0] 3; 4] 1; 1] 2; 4] 4; 4] whereas [ 1; 1] 1; 0] 1; 1] 3; 4] 1; 1] ....
L. H. de Figueiredo, J. Stol, Metodos numericos auto-validados e aplicac~oes, Braz. Math. Colloq. 21, IMPA, 1997
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