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Learning to differentiate (Q2123932)

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Language	Label	Description	Also known as
English	Learning to differentiate	scientific article

Statements

scholarly article

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Learning to differentiate (English)

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Gianluca Iaccarino

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Journal of Computational Physics

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publication date

14 April 2022

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zbMATH Keywords

neural networks

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discrete differential operators

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stability

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summation-by-parts

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overlapping grids

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.jcp.2020.109873

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A generalized framework for nodal first derivative summation-by-parts operators

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Finite volume methods, unstructured meshes and strict stability for hyperbolic problems

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Review of summation-by-parts schemes for initial-boundary-value problems

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A Skew-Symmetric Discontinuous Galerkin Spectral Element Discretization and Its Relation to SBP-SAT Finite Difference Methods

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Review of summation-by-parts operators with simultaneous approximation terms for the numerical solution of partial differential equations

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Stable and accurate wave-propagation in discontinuous media

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fPINNs: Fractional Physics-Informed Neural Networks

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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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Extensions of Gauss quadrature via linear programming

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Stability of interpolation on overlapping grids

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Composite overlapping meshes for the solution of partial differential equations

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A fourth-order accurate method for the incompressible Navier-Stokes equations on overlapping grids

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Towards Time-Stable and Accurate LES on Unstructured Grids

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A Scheme for Conservative Interpolation on Overlapping Grids

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Moving overlapping grids with adaptive mesh refinement for high-speed reactive and non-reactive flow

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Parallel computation of three-dimensional flows using overlapping grids with adaptive mesh refinement

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Energy stable numerical methods for hyperbolic partial differential equations using overlapping domain decomposition

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Stability Analysis of Interface Temporal Discretization in Grid Overlapping Methods

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Implementing Spectral Methods for Partial Differential Equations

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Necessary and Sufficient Conditions for Equidistant Quadrature Formula

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Stable discretisations of high-order discontinuous Galerkin methods on equidistant and scattered points

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A stable and conservative interface treatment of arbitrary spatial accuracy

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Conservative finite difference formulations, variable coefficients, energy estimates and artificial dissipation

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Discretely conservative finite-difference formulations for nonlinear conservation laws in split form: theory and boundary conditions

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Identifiers

10.1016/j.jcp.2020.109873

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2123932

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