Results 121 to 130 of about 32,486 (162)

On a subclass of bi-univalent functions defined by convex combination of order α with the Faber polynomial expansion

Applied Mathematics-A Journal of Chinese Universities, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wurenqiqige, Shuhai Li, Tsedenbayar Dashdondog   +2 more
semanticscholar   +3 more sources

Local Propagators utilizing Faber Polynomial based Expansions

2022 IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization (NEMO), 2022
The approximation of propagators can be based on an appropriate polynomial expansion utilizing an overall constant time step size. With a polynomial expansion based on Faber polynomials a sub-gridding with different discretization patterns of the ...
Wladimir Plotnikov, Tobias Murawski, D. Schulz   +2 more
semanticscholar   +2 more sources

Evaluation of the Faber Polynomial Based Expansion for Different Contours in a Lossy System

2025 IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization (NEMO)
The aim of this paper is to decrease the runtime of the Faber polynomial based approach, which is used to approximate the matrix exponential in order to solve Maxwell's equations in the time domain.
Wladimir Plotnikov, Bernd L. Inci, D. Schulz   +2 more
semanticscholar   +2 more sources

Parallelization of Faber Polynomial Based Propagators for Laser Applications

International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, Volume 38, Issue 4, July/August 2025.
In order to simulate a laser system, the evaluation of a complex semilinear master equation is needed, including the description of the wave propagation by Maxwell's equations and appropriate rate equations.
Wladimir Plotnikov, D. Schulz
semanticscholar   +2 more sources

Series Expansions of the Layer Potential Operators Using the Faber Polynomials and Their Applications to the Transmission Problem

SIAM Journal on Mathematical Analysis, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jung, Younghoon, Lim, Mikyoung
openaire   +2 more sources

Assessment of a Time Domain Beam Propagation Algorithm Based on Faber Polynomial Expansions

2019 IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization (NEMO), 2019
In this contribution, a vectorial time domain beam propagation approach based on Faber polynomial expansions is investigated. The method allows a fully vectorial explicit formulation of the algorithm and the application of large time steps. The utilized near band approximation shows some interesting properties with respect to the computational ...
Hendrik Kleene, Dirk Schulz
openaire   +1 more source

Investigation of conformal Mappings for the Approximation of Faber Polynomial based Propagators

IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization, 2022
Time domain dependent exponential integrators for solving Maxwell's equations in an explicit manner can be approximated by the use of Faber polynomial based expansions.
Wladimir Plotnikov, Bernd L. Inci, D. Schulz   +2 more
semanticscholar   +1 more source