Results 1 to 10 of about 89,653 (316)
MathematicsThe paper expands the finite difference method to the complex plane, and thus obtains an improvement in the resolution of differential equations with an increase in numerical precision and a generalization in the mathematical modeling of problems.
Ana Laura Mendonça Almeida Magalhães +6 more
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Time-Domain Finite-Difference and Finite-Element Methods for Maxwell Equations in Complex Media
IEEE Transactions on Antennas and Propagation, 2008 Extensions of finite-difference time-domain (FDTD) and finite-element time-domain (FETD) algorithms are reviewed for solving transient Maxwell equations in complex media. Also provided are a few representative examples to illustrate the modeling capabilities of FDTD and FETD for complex media. The term complex media refers here to media with dispersive,
Fernando L Teixeira
exaly +4 more sources
Electronic Journal of Qualitative Theory of Differential Equations, 2016 Summary: This paper continues the investigation of solvability of product-type systems of difference equations, by studying the following system with two variables: \[ z_n=\alpha z_{n-1}^aw_{n-2}^b,\quad w_n=\beta w_{n-3}^cz_{n-2}^d,\quad n\in\mathbb{N}_0, \] where \(a,b,c,d\in\mathbb{Z}\), \(\alpha,\beta\in\mathbb{C}\setminus\{0\}\), \(w_{-3}, w_{-2},
S. Stević
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AIP Advances, 2019 Among the methods of the numerical analysis of the physical phenomena of the continuum, the finite difference method (FDM) is the first examined method and has been established as a full numerical calculation system over the regular domain.
Tsugio Fukuchi
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On a class of nonlinear difference equations in the complex domain [PDF]
Transactions of the American Mathematical Society, 1950 W. Strodt
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, 2021 WOS:000692199000020We indicate that the systems of difference equations {formula presented} where the sequences pn, qn, rn, sn are some of the sequences xn and yn, f: Df → ℝ is a “1 – 1” continuous function on its domain Df ⊆ ℝ, initial values x−j, y−j ...
Merve Kara, Y. Yazlık
semanticscholar +2 more sources
Perfectly Matched Layer for Accurate FDTD for Anisotropic Magnetized Plasma [PDF]
Journal of Electromagnetic Engineering and Science, 2020 In this work, we propose a stable perfectly matched layer (PML) for accurate finite-difference time-domain (FDTD) methods for analyzing electromagnetic wave propagation in the anisotropic magnetized plasma region.
Jeahoon Cho +2 more
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On local invertibility of functions of an h-complex variable
Журнал Белорусского государственного университета: Математика, информатика, 2022 The theory of functions of an h-complex variable is an alternative to the usual theory of functions of a complex variable, obtained by replacing the rules of multiplication.
Vladislav A. Pavlovsky, Igor L. Vasiliev
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On eight solvable systems of difference equations in terms of generalized Padovan sequences
Miskolc Mathematical Notes, 2021 . In this study we show that the systems of difference equations x af )+ , ( n − 1 )+ s n − 2 (cid:1) , for n ∈ N 0 , where the sequences p n , q n , r n and s n are some of the sequences x n and y n , f : D f −→ R is a “1 − 1” continuous function on its
Merve Kara, Y. Yazlık
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Binomial series and complex difference equations [PDF]
Journal of Mathematical Analysis and Applications, 2019 We consider properties of binomial series $\sum_{n=0}^\infty a_n z^{\underline{n}}$, where $z^{\underline{n}}=z(z-1)\cdots(z-n+1)$ and the convergence of binomial series in the complex domain.
K. Ishizaki, Z. Wen
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