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Deep learning-based schemes for singularly perturbed convection-diffusion problems - MaRDI portal

Deep learning-based schemes for singularly perturbed convection-diffusion problems (Q6127045)

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scientific article; zbMATH DE number 7829992

Language	Label	Description	Also known as
English	Deep learning-based schemes for singularly perturbed convection-diffusion problems	scientific article; zbMATH DE number 7829992

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scholarly article

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Deep learning-based schemes for singularly perturbed convection-diffusion problems (English)

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Virginie Ehrlacher

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Agustín Somacal

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ESAIM: Proceedings and Surveys

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publication date

10 April 2024

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full work available at URL

https://arxiv.org/abs/2205.04779

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zbMATH Keywords

neural networks

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pinns

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singularly perturbed problems

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MaRDI profile type

MaRDI publication profile

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Neural algorithm for solving differential equations

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Machine learning design of volume of fluid schemes for compressible flows

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Machine-learning error models for approximate solutions to parameterized systems of nonlinear equations

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Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

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DGM: a deep learning algorithm for solving partial differential equations

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\textit{hp}-VPINNs: variational physics-informed neural networks with domain decomposition

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The Deep Ritz Method: a deep learning-based numerical algorithm for solving variational problems

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Deep learning-based numerical methods for high-dimensional parabolic partial differential equations and backward stochastic differential equations

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The Variational Formulation of the Fokker--Planck Equation

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Fokker–Planck–Kolmogorov Equations

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Robust Numerical Methods for Singularly Perturbed Differential Equations

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Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations

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Robust DPG Method for Convection-Dominated Diffusion Problems

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A robust DPG method for convection-dominated diffusion problems. II: Adjoint boundary conditions and mesh-dependent test norms

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On the limited memory BFGS method for large scale optimization

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Identifiers

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1051/PROC/202373048

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Sitelinks

Mathematics(1 entry)

mardi Publication:6127045

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