Results 71 to 80 of about 13,572,436 (276)
Numerical schemes for 3D parabolic problem with non-local boundwy condition
Lietuvos Matematikos Rinkinys, 2004 Two finite difference schemes are used to solve the 3D parabolic problem with a non-local boundary condition. A new approximation of the initial condition is proposed for the explicit Euler scheme.
Raimondas Čiegis +2 more
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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 +6 more
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A Geometric Characterization of Steady Laminar Flow
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We study the steady states of the Euler equations on the periodic channel or annulus. We show that if these flows are laminar (layered by closed non‐contractible streamlines which foliate the domain), then they must be either parallel or circular flows.
Theodore D. Drivas, Marc Nualart
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Topics in Numerical Computation of Compressible Flow [PDF]
, 1990 This thesis aims to assist the development of a multiblock implicit Navier-Stokes code for hypersonic flow applications. There are mainly three topics, which concern the understanding of basic Riemann solvers, the implementing of implicit zonal ...
Lin, Hong-Chia
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On Extension the Stability Region of Implicit-Explicit Linear Multistep Methods for Ordinary Differential Equation [PDF]
مجلة التربية والعلم, 2013 Stability properties of implicit – explicit (IMEX) of linear multistep methods for ordinary differential equations are analyzed on the basis of stability regions defined by using scalar test equations.
Ghanim M. S. Abdullah Department of Mathematic
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IM-BERT: Enhancing Robustness of BERT through the Implicit Euler Method
Proceedings of the 2024 Conference on Empirical Methods in Natural Language ProcessingPre-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.
Mihyeon Kim, Juhyoung Park, YoungBin Kim
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Drawing Euler Diagrams with Circles [PDF]
, 2010 Euler diagrams are a popular and intuitive visualization tool which are used in a wide variety of application areas, including biological and medical data analysis.
Howse, John +7 more
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Deep Underground Science and Engineering, EarlyView.For the roof of coral reef limestone caverns, a novel tension‐shear composite failure mechanism was developed. The most critical tensile crack model was identified using a hybrid optimization algorithm, and the stability of the cavern roof was analyzed accordingly.
Dongsheng Xu, Chenxu Li, Chuantan Hou
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Systems Science & Control EngineeringAccurate simulation of electromechanical systems requires the coherent integration of electrical, magnetic, and mechanical dynamics within a digital environment. However, conventional integrators often lose fidelity when the model enters stiff regions or
Jesús Rodríguez Mendoza +2 more
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Differential Inversion of the Implicit Euler Method: Symbolic Analysis
CoRRThe implicit Euler method integrates systems of ordinary differential equations $$\frac{d x}{d t}=G(t,x(t))$$ with differentiable right-hand side $G : {\mathbb R} \times {\mathbb R}^n \rightarrow {\mathbb R}^n$ from an initial state $x=x(0) \in {\mathbb R}^n$ to a target time $t \in {\mathbb R}$ as $x(t)=E(t,m,x)$ using an equidistant discretization of
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