Results 61 to 70 of about 32,914 (238)

Quantifier Elimination for Trigonometric Polynomials by Cylindrical Trigonometric Decomposition

Journal of Symbolic Computation, 2000
The authors present a quantifier elimination algorithm for some first-order formulas involving the trigonometric functions sine and cosine based on the cylindrical algebraic decomposition of semi-algebraic sets due to Collin (see \textit{G. E. Collins}, Lect. Notes Comput. Sci. 33, 134-183 (1975; Zbl 0318.02051)).
Pau, Petru, Schicho, Josef
openaire   +2 more sources

One‐Dimensional Finite Elements With Arbitrary Cross‐Sectional Displacement Fields

International Journal for Numerical Methods in Engineering, Volume 127, Issue 1, 15 January 2026.
ABSTRACT This paper introduces an unprecedented unified approach for developing structural theories with an arbitrary kinematic variable over the beam cross‐section. Each of the three displacement variables can be analyzed using an independent expansion function. Both the order of the expansion and the number of terms in each field can be any. That is,
E. Carrera, D. Scano, E. Zappino
wiley   +1 more source

Computing planar and spherical choreographies [PDF]

, 2015
An algorithm is presented for numerical computation of choreographies in the plane in a Newtonian potential and on the sphere in a cotangent potential. It is based on stereographic projection, approximation by trigonometric polynomials, and quasi-Newton ...
Gushterov, Nikola Ivanov, Montanelli, Hadrien   +1 more
core   +1 more source

Rotary 4D Printing of Programmable Metamaterials on Sustainable 4D Mandrel

Advanced Materials Technologies, Volume 11, Issue 1, 8 January 2026.
The paper introduces open, rotary 4D printing of programmable tubular metamaterials. It presents an open, non‐planar path‐to‐G‐code pipeline and shape‐changing rotary mandrel that enable support‐free fabrication and multi‐stimuli actuation. Experiments and FEA validate the mentioned features and stress redistribution.
Hesam Soleimanzadeh, Mahdi Bodaghi, Marzieh Jamalabadi, Bernard Rolfe, Ali Zolfagharian   +4 more
wiley   +1 more source

Super‐Convergent Meshless Computations for Active Vibration Control of Bi‐Directional Functionally Graded Terfenol‐D Beams with Twisted Geometry

Advanced Theory and Simulations, Volume 9, Issue 1, January 2026.
This study develops a superconvergent meshless method to analyze and control vibrations in twisted, bidirectional functionally graded Terfenol‐D beams. By optimizing magnetostrictive patch placement, it demonstrates effective vibration suppression under dynamic loads, highlighting the design potential of strategically graded materials in complex ...
Mukund A. Patil, Tanmoy Mukhopadhyay, Susmita Naskar   +2 more
wiley   +1 more source

Perspective Projection of an Ellipse and an Ellipsoid for Analytical View Factor Evaluation

Heat Transfer, Volume 55, Issue 1, Page 44-55, January 2026.
ABSTRACT Radiative view factors are fundamental quantities for evaluating radiative heat transfer between different surfaces. While analytical expressions of view factors have been evaluated for various types of basic geometries, including circular disks and spheres, extending these solutions to more complex geometries, such as ellipses and ellipsoids ...
Kaname Sasaki
wiley   +1 more source

Bounding Multivariate Trigonometric Polynomials

IEEE Transactions on Signal Processing, 2019
The extremal values of multivariate trigonometric polynomials are of interest in fields ranging from control theory to filter design, but finding the extremal values of such a polynomial is generally NP-Hard. In this paper, we develop simple and efficiently computable estimates of the extremal values of a multivariate trigonometric polynomial directly ...
Luke Pfister, Yoram Bresler
openaire   +1 more source

On the Stability Barrier of Hermite Type Discretizations of Advection Equations

Numerical Methods for Partial Differential Equations, Volume 42, Issue 1, January 2026.
ABSTRACT We establish a stability barrier for a class of high‐order Hermite‐type discretization of 1D advection equations underlying the hybrid‐variable (HV) and active flux (AF) methods. These methods approximate both cell averages and nodal solutions and evolve them in time simultaneously.
Xianyi Zeng
wiley   +1 more source

Discrete Least-norm Approximation by Nonnegative (Trigonomtric) Polynomials and Rational Functions [PDF]

Polynomials, trigonometric polynomials, and rational functions are widely used for the discrete approximation of functions or simulation models.Often, it is known beforehand, that the underlying unknown function has certain properties, e.g.
Hertog, D. den, Klerk, E. de, Siem, A.Y.D.   +2 more
core   +1 more source

Inequalities for trigonometric polynomials

Journal of Approximation Theory, 1991
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Department of Mathematics, University of Florida, Gainesville, Florida 32611, U.S.A. ( host institution ), Varma, A.K   +1 more
openaire   +2 more sources