Results 131 to 140 of about 32,486 (162)

Bounds on Initial Coefficients for a Certain New Subclass of Bi-univalent Functions by Means of Faber Polynomial Expansions

Mathematics in Computer Science, 2019
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Sakar, F. Müge, Aydoğan, S. Melike
openaire   +2 more sources

Optimization of the Faber Polynomial based Propagator through Parallelization

International Conference on Infrared, Millimeter, and Terahertz Waves
The Faber polynomial based approximation of the time dependent propagator enables the explicit solution of Maxwell’s equations. Compared to conventional solvers, the temporal propagation is not bound to the spatial approximation.
Wladimir Plotnikov, D. Schulz
semanticscholar   +1 more source

Concept of a Complex Envelope Faber Polynomial Approach for the Solution of Maxwell’s Equations

IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization, 2018
We investigate a novel complex envelope approach for the numerical solution of Maxwell’s equations based on the expansion of the time domain propagator using Faber polynomials.
Hendrik Kleene, D. Schulz
semanticscholar   +1 more source

Faber Polynomial based Local Propagators for Laser Applications

IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization
High spatial resolution is required to achieve accurate results in the investigation of laser applications. This leads to high complexity since nonlinear master equations are needed to simulate electromagnetic wave propagation.
Wladimir Plotnikov, Roman Pommer, D. Schulz   +2 more
semanticscholar   +1 more source

Explicit Wideband Time-Domain Beam Propagation Algorithm Based on Faber Polynomials

IEEE Journal on Multiscale and Multiphysics Computational Techniques, 2019
A novel explicit algorithm based on a wideband time-domain beam propagation approach for the solution of Maxwell's equation in the time domain is presented.
Hendrik Kleene, D. Schulz
semanticscholar   +1 more source

Chebyshev polynomials on equipotential curves

Bulletin of the London Mathematical Society
For an analytic function ϕ(z)$\phi (z)$ with a Laurent expansion at ∞$\infty$ of the form ϕ(z)=z+c0+c1z+c2z2+⋯,$$\begin{equation*} \phi (z)=z+c_{0}+\frac{c_{1}}{z}+\frac{c_{2}}{z^{2}}+\cdots, \end{equation*}$$the Faber polynomial Fn$F_n$ of degree n$n ...
Erwin Miña-Díaz, Olof Rubin
semanticscholar   +1 more source

A Polynomial Membership Function Approach for Stability Analysis of Fuzzy Systems

IEEE Transactions on Fuzzy Systems, 2021
Wen-Bo Xie, Hak-Keung Lam, Jian Zhang
exaly  

Optimal sparse polynomial chaos expansion for arbitrary probability distribution and its application on global sensitivity analysis

Computer Methods in Applied Mechanics and Engineering, 2022
Jie Liu
exaly  

Reliability analysis using adaptive Polynomial-Chaos Kriging and probability density evolution method

Reliability Engineering and System Safety, 2022
Yongbo Peng
exaly  

Simple Local Polynomial Density Estimators

Journal of the American Statistical Association, 2020
Matias D Cattaneo, Michael Jansson
exaly