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An Algorithm for Global Optimization using the Taylor–Bernstein Form as Inclusion Function

Journal of Global Optimization, 2002
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NATARAY, PSV, KOTECHA, K
openaire   +4 more sources

Determining dissipativity for nonlinear systems from noisy data using Taylor polynomial approximation

American Control Conference, 2022
In the literature of data-driven dissipativity verification, many approaches are restricted to linear systems or require knowledge on the basis functions of the nonlinear system dynamics.
Tim Martin, F. Allgöwer
semanticscholar   +1 more source

Abel universal functions

Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 2022
Given a sequence $\varrho =(r_n)_n\in [0,1)$ tending to $1$ , we consider the set ${\mathcal {U}}_A({\mathbb {D}},\varrho )$ of Abel universal functions consisting of holomorphic functions f in the open unit disk $\mathbb {D}$ such that for any ...
S. Charpentier, A. Mouze
semanticscholar   +1 more source

Global Optimization with Higher Order Inclusion Function Forms Part 1: A Combined Taylor-Bernstein Form

Reliable Computing, 2004
Recently, two versions of the so-called Taylor-Bernstein (TB) form having the property of higher order convergence were proposed in [5] and [10]. However, in many application problems, both these TB forms encounter difficulties in computing the range enclosures for some domain widths, due to excessive memory and/or time requirements.
Paluri S. V. Nataraj, Ketan Kotecha
openaire   +1 more source

‘A Bunch of Riffs’: Language, Post-Modernity, and the Politics of Inclusion in Improvised Music

Contemporary Music Review, 2019
Jazz improvisation is as dependent on the use of pre-existing riffs as it is on extemporaneous creation. These riffs create, establish, and reference genres, and provide an extra-temporal aspect to the moment of performance. The re-appropriation of these
Wendy Eisenberg
semanticscholar   +1 more source

Geometric Properties of Operators Associated with Normalized Jackson and Hahn-Exton $q$-Bessel Functions and $q$-Extension of the Hohlov Integral Operator

Armenian Journal of Mathematics
In this paper, we examine the geometric properties of linear operators associated with normalized Jackson and Hahn-Exton $q$-Bessel functions that arise through suitable transformations and $q$-extension of the Hohlov integral operator.
Manas Kumar Giri, Kondooru Raghavendar
semanticscholar   +1 more source

Four-Moment Refinements of Jensen's Inequality: Rigor, Remainder Bounds, and Applications in Actuarial

Journal of Time Scales Analysis
We revisit moment-based refinements of Jensen's inequality for convex functions and provide a rigorous framework that explicitly states all smoothness, integrability, and remainder assumptions.
Halim zeghdoudi
semanticscholar   +1 more source

Discrete unified gas kinetic scheme for incompressible flow.

Physical Review E
In this work, an improved discrete unified gas kinetic scheme (DUGKS) is proposed. Like the original DUGKS and the optimized DUGKS, the improved DUGKS uses trapezoidal rule for the integration of the collision term, and introduces two auxiliary ...
Wenqiang Guo
semanticscholar   +1 more source

Taylor models and other validated functional inclusion methods

The authors give a review of Taylor model methods for validated computation and compares the efficacy of a number of different approaches. Arithmetics for effective computation of Taylor model methods are presented along with a number of algorithms for computing a variety of analytic operations.
Makino, Kyoko, Berz, Martin
openaire   +2 more sources

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