| dbo:abstract |
En mathématiques, un stencil est une représentation géométrique d'un réseau nodal illustrant les points d'intérêt utilisés dans un schéma de discrétisation pour la résolution numérique des équations différentielles, notamment des équations aux dérivées partielles combinant variables temporelles spatiales. Les stencils peuvent être compacts ou non, selon les niveaux utilisés autour du point d'intérêt. (fr) In mathematics, especially the areas of numerical analysis concentrating on the numerical solution of partial differential equations, a stencil is a geometric arrangement of a nodal group that relate to the point of interest by using a numerical approximation routine. Stencils are the basis for many algorithms to numerically solve partial differential equations (PDE). Two examples of stencils are the five-point stencil and the Crank–Nicolson method stencil. Stencils are classified into two categories: compact and non-compact, the difference being the layers from the point of interest that are also used for calculation. In the notation used for one-dimensional stencils n-1, n, n+1 indicate the time steps where timestep n and n-1 have known solutions and time step n+1 is to be calculated. The spatial location of finite volumes used in the calculation are indicated by j-1, j and j+1. (en) |
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wiki-commons:Special:FilePath/Crank-Nicolson-stencil.svg?width=300 |
| dbo:wikiPageExternalLink |
https://www.researchgate.net/profile/William_Spotz/publication/2591103_High-Order_Compact_Finite_Difference_Schemes_for_Computational_Mechanics/links/00463524456e49822a000000/High-Order-Compact-Finite-Difference-Schemes-for-Computational-Mechanics.pdf |
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| dct:subject |
dbc:Numerical_differential_equations |
| gold:hypernym |
dbr:Arrangement |
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| rdfs:comment |
En mathématiques, un stencil est une représentation géométrique d'un réseau nodal illustrant les points d'intérêt utilisés dans un schéma de discrétisation pour la résolution numérique des équations différentielles, notamment des équations aux dérivées partielles combinant variables temporelles spatiales. Les stencils peuvent être compacts ou non, selon les niveaux utilisés autour du point d'intérêt. (fr) In mathematics, especially the areas of numerical analysis concentrating on the numerical solution of partial differential equations, a stencil is a geometric arrangement of a nodal group that relate to the point of interest by using a numerical approximation routine. Stencils are the basis for many algorithms to numerically solve partial differential equations (PDE). Two examples of stencils are the five-point stencil and the Crank–Nicolson method stencil. (en) |
| rdfs:label |
Stencil (analyse numérique) (fr) Stencil (numerical analysis) (en) |
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