Results 41 to 50 of about 3,166 (168)

Second-Order Time-Accurate ALE Schemes for Flow Computations with Moving and Topologically Changing Grids

Fluids, 2023
In computations of unsteady flow problems by the arbitrary Lagrangian–Eulerian (ALE) method, the introduction of the grid velocity in the transport terms of the governing equations is not a sufficient condition for conservativeness if topology changes in
Daniel Costero, Federico Piscaglia
doaj   +1 more source

A novel time efficient structure-preserving splitting method for the solution of two-dimensional reaction-diffusion systems

Advances in Difference Equations, 2020
In this article, the first part is concerned with the important questions related to the existence and uniqueness of solutions for nonlinear reaction-diffusion systems.
Nauman Ahmed, Alper Korkmaz, M. Rafiq, Dumitru Baleanu, Ali Saleh Alshomrani, M. A. Rehman, M. S. Iqbal   +6 more
doaj   +1 more source

Fitted numerical method for singularly perturbed Burger–Huxley equation

Boundary Value Problems, 2022
This paper deals with the numerical treatment of a singularly perturbed unsteady Burger–Huxley equation. We linearize the problem using the Newton–Raphson–Kantorovich approximation method.
Imiru T. Daba, Gemechis F. Duressa
doaj   +1 more source

Comparative Study of Finite Difference and Finite Element Methods for Solving 2D Parabolic Convection–Diffusion–Reaction Equations With Variable Coefficients

International Journal of Differential Equations
This study investigates the numerical solution of two-dimensional parabolic convection–diffusion–reaction (CDR) equations with variable coefficients using the finite difference method (FDM) and the finite element method (FEM).
Endalew Getnet Tsega
doaj   +1 more source

Stable and Efficient Time Integration of a Dynamic Pore Network Model for Two-Phase Flow in Porous Media

Frontiers in Physics, 2018
We study three different time integration methods for a dynamic pore network model for immiscible two-phase flow in porous media. Considered are two explicit methods, the forward Euler and midpoint methods, and a new semi-implicit method developed herein.
Magnus Aa. Gjennestad, Morten Vassvik, Signe Kjelstrup, Alex Hansen   +3 more
doaj   +1 more source

A Novel Sliding Mode Filter with Implicit-Euler Discretization for Simultaneous Noise Attenuation and Derivative Estimation

Journal of Applied Science and Engineering
In control systems, obtaining reliable filtered signals and their derivatives simultaneously from noisecontaminated inputs represents a key challenge.
Zuoping Zhao, Dongyang Li, Zhengjian Lai
doaj   +1 more source

A-stable spectral deferred correction method for nonlinear Allen-Cahn model

Alexandria Engineering Journal
This paper presents a type of A-stable spectral deferred correction (SDC) method. The scheme is initiated by the first-order backward Euler method. We adopt the linear stabilization approach for the Allen-Cahn model to get the linear semi-implicit SDC ...
Lin Yao, Xindong Zhang
doaj   +1 more source

IM-BERT: Enhancing Robustness of BERT through the Implicit Euler Method

Proceedings of the 2024 Conference on Empirical Methods in Natural Language Processing
Pre-trained Language Models (PLMs) have achieved remarkable performance on diverse NLP tasks through pre-training and fine-tuning. However, fine-tuning the model with a large number of parameters on limited downstream datasets often leads to vulnerability to adversarial attacks, causing overfitting of the model on standard datasets.
Kim, Mihyeon, Park, Juhyoung, Kim, Youngbin   +2 more
openaire   +2 more sources

Elastoplastic deformation analysis by return-mapping and consistent tangent modulus tensor based on subloading surface model (2st Report, Deformation analyses of machine elements)

Nihon Kikai Gakkai ronbunshu, 2014
The implicit stress integration algorithm was devised in the first report by formulating the return-mapping based on the cutting-plane projection and the consistent tangent modulus tensor due to the numerical method for the subloading surface model.
Noriyuki SUZUKI, Koichi HASHIGUCHI, Masami UENO   +2 more
doaj   +1 more source

Chattering-Free Implementation of Continuous Terminal Algorithm with Implicit Euler Method

, 2019
This paper proposes an efficient implementation for a continuous terminal algorithm (CTA). Although CTA is a continuous version of the famous twisting algorithm (TA), the conventional implementations of this CTA still suffer from chattering, especially when the gains and the time-step sizes are selected very large.
Xiong, Xiaogang, Chen, Wei, Jiao, Guohua, Jin, Shanhai, Kamal, Shyam   +4 more
openaire   +2 more sources