Results 1 to 10 of about 90,096 (231)
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
doaj +6 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
doaj +1 more source
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
doaj +1 more source
Different-Scale Simulation of Flows in Porous Media [PDF]
EPJ Web of Conferences, 2021 The paper considers the development of algorithms for an adequate description of processes of different scales in porous media. The choice of a computational technique is determined by the reference size of the problem being solved.
Trapeznikova Marina +2 more
doaj +1 more source
Exploiting graph neural networks to perform finite-difference time-domain based optical simulations
APL Photonics, 2023 Having an artificial neural network that solves Maxwell’s equations in a general setting is an intellectual challenge and a great utility. Recently, there have been multiple successful attempts to use artificial neural networks to predict electromagnetic
L. Kuhn, T. Repän, C. Rockstuhl
doaj +1 more source
Abstract and Applied Analysis, 2020 A family of linear singularly perturbed difference differential equations is examined. These equations stand for an analog of singularly perturbed PDEs with irregular and Fuchsian singularities in the complex domain recently investigated by A. Lastra and
Stephane Malek
doaj +1 more source
Stability of three-layer differential-difference schemes with weights in the space of summable functions with supports in a network-like domain [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2023 The work is a natural continuation of the authors' earlier studies in the analysis of the conditions for the weak solvability of one-dimensional initial-boundary value problems with a space variable changing on a graph (network) in the direction of ...
Hoang, Van Nguyen +1 more
doaj +1 more source
Diffusion with space memory modelled with distributed order space fractional differential equations
Annals of Geophysics, 2003 Distributed order fractional differential equations (Caputo, 1995, 2001; Bagley and Torvik, 2000a,b) were fi rst used in the time domain; they are here considered in the space domain and introduced in the constitutive equation of diffusion.
M. Caputo
doaj +1 more source
Journal of Mathematical Sciences and Modelling, 2023 Breast cancer is the most common cancer in women, and non-destructive detection of the tumor is vital. The interaction of electromagnetic waves with breast tissue and the behavior of waves after interaction are used to model tumor detection ...
Ümmü Şahin Şener
doaj +1 more source
Parametric formal Gevrey asymptotic expansions in two complex time variable problems [PDF]
Opuscula MathematicaThe analytic and formal solutions to a family of singularly perturbed partial differential equations in the complex domain involving two complex time variables are considered.
Guoting Chen +2 more
doaj +1 more source