We test and compare the higher order convergence behavior of the proposed TB form with that of Lin and Rokne's TB form and also with that of the Taylor model of ...

Printed in the Netherlands. Higher Order Convergence for Multidimensional. Functions with a New Taylor-Bernstein Form as. Inclusion Function. PALURI S. V. ...

In the most general case, f is not necessarily a polynomial, the Taylor-Bernstein model approach can be used to obtain range enclosures of f [22, 28] . The rst ...

101-109) introduced the so-called Taylor-Bernstein (TB) form as an inclusion function form for multidimensional functions. This form was theoretically shown to ...

Bibliographic details on Higher Order Convergence for Multidimensional Functions with a New Taylor-Bernstein Form as Inclusion Function.

We propose in this work a new inclusion function form having the super- convergence property for multidimensional functions. The proposed inclusion function ...

Recently, two versions of the so-called Taylor-Bernstein (TB) form having the property of higher order convergence were proposed in [5] and [10].

Apr 25, 2024 · Higher Order Convergence for Multidimensional Functions with a New Taylor-Bernstein Form as Inclusion Function. Reliab. Comput. 9(3): 185 ...

... inclusion function form of i in the MS algorithm. The Taylor0Bernstein form is an inclusion function form exhibiting high order convergence, and we therefore.

Higher Order Convergence for Multidimensional Functions with a New Taylor-Bernstein Form as Inclusion Function · P. NatarajK. Kotecha. Mathematics. Reliab ...