Results 61 to 70 of about 6,277 (191)

Autoformer‐Driven Convolutional Perfectly Matched Layer for 2D HIE‐FDTD Method

IET Microwaves, Antennas &Propagation, Volume 19, Issue 1, January/December 2025.
The Autoformer neural network is introduced to replace the conventional multi‐layer CPML structure. This method markedly improves computational efficiency while maintaining excellent wave absorption performance. ABSTRACT An innovative deep‐learning driven convolutional perfectly matched layer (CPML) integrated into the hybrid implicit‐explicit finite ...
Yexin Li, Xinjun Hu, Jing Wang, Kuiwen Xu, Ning Xu   +4 more
wiley   +1 more source

An ADI Method for the Numerical Solution of 3D Fractional Reaction-Diffusion Equations

Fractal and Fractional, 2020
A numerical method for solving fractional partial differential equations (fPDEs) of the diffusion and reaction–diffusion type, subject to Dirichlet boundary data, in three dimensions is developed.
Moreno Concezzi, Renato Spigler
doaj   +1 more source

A comparison of different numerical schemes in spherical Couette flow simulation

AIP Advances, 2021
We compare the performance of line Gauss–Seidel (LGS), point Gauss–Seidel (PGS), and alternating direction implicit (ADI) linear solvers used in the artificial compressibility method for the numerical solution of the three-dimensional incompressible ...
Suhail Abbas, Abdullah Shah, Zahid Hussain, Shahid Hussain   +3 more
doaj   +1 more source

A Comprehensive Review of Matrix Equations in Dynamical Systems and Control Theory

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
Matrix equations are of foundational importance in the modeling, investigation, and control of dynamical systems. This review discusses various classes of matrix equations, their solutions, and their relevance in control theory and dynamical systems.
Chacha Stephen Chacha, Arpan Hazra
wiley   +1 more source

Two-dimensional Modelling of Thermal Responses of GFRP Profiles Exposed to ISO-834 Fire [PDF]

MATEC Web of Conferences, 2019
In the past three decades, one-dimensional (1-D) thermal model was usually used to estimate the thermal responses of glass fiber-reinforced polymer (GFRP) materials and structures.
Ding Teng, Wang Lu, Liu Weiqing
doaj   +1 more source

Low‐rank approximations of frequency‐limited discrete‐time Gramians

Proceedings in Applied Mathematics and Mechanics, Volume 24, Issue 4, December 2024.
Abstract We consider the approximate computation of Gramians of large‐scale linear discrete‐time state‐space systems. Of particular interest are the Gramians which arise in frequency‐limited balanced truncation model order reduction. While there are many results for the continuous‐time situation, the discrete‐time scenario is usually considered to a ...
Patrick Kürschner
wiley   +1 more source

The Splitting Crank–Nicolson Scheme with Intrinsic Parallelism for Solving Parabolic Equations

Journal of Function Spaces, 2020
In this paper, a splitting Crank–Nicolson (SC-N) scheme with intrinsic parallelism is proposed for parabolic equations. The new algorithm splits the Crank–Nicolson scheme into two domain decomposition methods, each one is applied to compute the values at
Guanyu Xue, Yunjie Gong, Hui Feng
doaj   +1 more source

Higher-order implicit-explicit multi-domain compressible Navier-Stokes solvers [PDF]

, 2019
This paper presents a new class of solvers for the subsonic compressible Navier-Stokes equations in general two- and three-dimensional multi-domains. Building up on the recent single-domain ADI-based high-order Navier-Stokes solvers (Bruno and Cubillos ...
Bruno, Oscar P., Cubillos, Max, Jimenez, Edwin   +2 more
core  

Steady-periodic method for modeling mode instability in fiber amplifiers

, 2013
We present a detailed description of the methods used in our model of mode instability in high-power, rare earth-doped, large-mode-area fiber amplifiers.
Smith, Arlee V., Smith, Jesse J.
core   +1 more source

A three‐dimensional parabolic equation with fast reordered‐alternate direction decomposition in atmosphere duct environment

IET Microwaves, Antennas &Propagation, Volume 18, Issue 7, Page 537-551, July 2024.
The authors introduce a radio wave propagation loss prediction model for marine atmospheric ducting environments, based on Fast Reordered‐Alternate Direction Decomposition (FR‐ADD), for wireless communication and navigation systems. The model improves computational processes, maintaining prediction accuracy while significantly reducing computational ...
Liang Shuai Shuai, Li Lei, Zhang Rui, Lin Le Ke, Yang Xiao, Li Zhuo Chen   +5 more
wiley   +1 more source