Zobrazeno 1 - 10
of 148
pro vyhledávání: '"Jung Chang-Yeol"'
In this article, we present a new learning method called sl-PINN to tackle the one-dimensional viscous Burgers problem at a small viscosity, which results in a singular interior layer. To address this issue, we first determine the corrector that char
Externí odkaz:
http://arxiv.org/abs/2410.09723
Publikováno v:
Advances in Nonlinear Analysis, Vol 6, Iss 3, Pp 277-300 (2017)
In this article, we consider a singularly perturbed nonlinear reaction-diffusion equation whose solutions display thin boundary layers near the boundary of the domain. We fully analyse the singular behaviours of the solutions at any given order with
Externí odkaz:
https://doaj.org/article/410aca357d8a4bf69307418744e7e402
Singularly perturbed boundary value problems pose a significant challenge for their numerical approximations because of the presence of sharp boundary layers. These sharp boundary layers are responsible for the stiffness of solutions, which leads to
Externí odkaz:
http://arxiv.org/abs/2312.06278
This research explores neural network-based numerical approximation of two-dimensional convection-dominated singularly perturbed problems on square, circular, and elliptic domains. Singularly perturbed boundary value problems pose significant challen
Externí odkaz:
http://arxiv.org/abs/2312.03295
We propose a new semi-analytic physics informed neural network (PINN) to solve singularly perturbed boundary value problems. The PINN is a scientific machine learning framework that offers a promising perspective for finding numerical solutions to pa
Externí odkaz:
http://arxiv.org/abs/2208.09145
Publikováno v:
In Physica D: Nonlinear Phenomena December 2024 469
Publikováno v:
In Computers and Mathematics with Applications 15 July 2024 166:91-105
Publikováno v:
In Computers and Mathematics with Applications 15 May 2024 162:180-195
Publikováno v:
In Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena February 2024 179
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