Results 41 to 50 of about 4,075 (228)

Ultrahigh‐Order Harmonic Mode‐Locked Optoelectronic Oscillator

Laser &Photonics Reviews, EarlyView.
This article demonstrates a record‐breaking microwave frequency comb generator using an ultrahigh‐harmonic‐order mode‐locked optoelectronic oscillator. By integrating dual recirculating loops into a low‐coherence system, the researchers achieved a harmonic order of 956 with superior noise suppression.
Zhuoran Wang, Santiago Bernal, David V. Plant, Lawrence R. Chen   +3 more
wiley   +1 more source

Quadrature formulas using derivatives [PDF]

Mathematics of Computation, 1965
1. H. MINEUR, Techniques de Calcul Num~rique d l'Usage des Mathe'maticiens, Astronomes, Physiciens et Ingenieurs. Suivi de Quatre Notes Par: Mme. Henri Berthod-Zaborowski, Jean Bouzitat, et Marcel Mayot, B6ranger, Paris, 1952. 2. M. ABRAMOWITZ & I.
openaire   +2 more sources

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

Mathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay, Mtema James Chin, Nazim I. Mahmudov   +2 more
wiley   +1 more source

An iterative method based on the average quadrature formula [PDF]

Computational Algorithms and Numerical Dimensions
In our research, a new third-order iterative method has been introduced. This method involves the creation of a new quadrature formula by averaging Simpson's 1/3 rd and Trapezoidal rules.
Tusar Singh, Dwiti Behera, Shno Othman Ahmed, Rostam Saeed   +3 more
doaj   +1 more source

Symmetric Quadrature Formulae for Simplexes [PDF]

Mathematics of Computation, 1970
Symmetrie interpolation polynomials are defined for N N -dimensional simplexes with the aid of a symmetric coordinate ...
openaire   +1 more source

Finite Biorthogonal Polynomials Suggested by the Finite Orthogonal Polynomials Mnp,qx$$ {M}_n^{\left(p,q\right)}(x) $$

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Constructing a biorthogonal structure from scratch, that is, defining a biorthogonal pair is quite tough. Because here the orthogonality must be established between two different sets. There are four known univariate biorthogonal polynomial sets, suggested by Laguerre, Jacobi, Hermite and Szegő‐Hermite polynomials, in the literature.
Esra Güldoğan Lekesiz
wiley   +1 more source

Quadrature Formulas for the Wiener Measure

Journal of Complexity, 1999
This paper is concerned with path integrals \(I_\infty (f) =\int _Cf(x) dw(x)\) with respect to the Wiener measure on \(C=C[0,1]\). The author presents a new method for the approximation of \(I_\infty (f)\) by means of a sequence \((A_s)_{s=1,2,\dots }\) of quadrature formulas with the error bound \[ \sup _{f\in {\mathcal F} }|I_\infty (f) -A_s(f) |
openaire   +2 more sources

Sundman‐Like Transformations and the NRT Nonlinear Schrödinger Equation

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We present a new generalization of the well‐known power‐type Sundman transformation, involving not only powers of the function but also of its derivative, along with its inverse. Our aim is to explore the use of such transformations in the derivation of solutions of ordinary differential equations and in the study of their properties.
P. R. Gordoa, A. Pickering, D. Puertas‐Centeno, E. V. Toranzo   +3 more
wiley   +1 more source

Weighted Optimal Quadrature Formulas in Sobolev Space and Their Applications

Algorithms
The optimization of computational algorithms is one of the main problems of computational mathematics. This optimization is well demonstrated by the example of the theory of quadrature and cubature formulas.
Kholmat Shadimetov, Khojiakbar Usmanov
doaj   +1 more source

Enhancing Reference Tracking in Induction Motor Drives: A Hybrid Model Predictive Control and Artificial Neural Network Approach

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Induction motors (IMs) are widely used in industry for their robustness and cost‐effectiveness, yet their nonlinear and multivariable dynamics pose significant challenges for high‐performance speed control. Model Predictive Control (MPC) is a well‐established solution but suffers from limitations related to model accuracy and parameter ...
Asier del Rio, Oscar Barambones, Eneko Artetxe, Jokin Uralde, Isidro Calvo   +4 more
wiley   +1 more source