dorsal/arxiv
View SchemaApproximate Lie Group Analysis of a Model Advection Equation on an Unstructured Grid
| Authors | Azat M. Latypov |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9505005 |
| URL | https://arxiv.org/abs/solv-int/9505005 |
Abstract
A technique of ``approximate group analysis'' recently developed by Baikov, Gazizov and Ibragimov is applied to a differential approximation (otherwise referred to as an equivalent differential equation) corresponding to the finite difference approximation of a nonlinear advection equation on unstructured grid. We determine which groups from the infinite variety of groups admitted by a nonlinear advection equation ``survive'' the discretization. The situations arising for different choices of an arbitrary function (local speed of propagation) are also studied.
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"abstract": "A technique of ``approximate group analysis\u0027\u0027 recently developed by Baikov,\nGazizov and Ibragimov is applied to a differential approximation (otherwise\nreferred to as an equivalent differential equation) corresponding to the finite\ndifference approximation of a nonlinear advection equation on unstructured\ngrid. We determine which groups from the infinite variety of groups admitted by\na nonlinear advection equation ``survive\u0027\u0027 the discretization. The situations\narising for different choices of an arbitrary function (local speed of\npropagation) are also studied.",
"arxiv_id": "solv-int/9505005",
"authors": [
"Azat M. Latypov"
],
"categories": [
"solv-int",
"comp-gas",
"nlin.CG",
"nlin.SI"
],
"title": "Approximate Lie Group Analysis of a Model Advection Equation on an Unstructured Grid",
"url": "https://arxiv.org/abs/solv-int/9505005"
},
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"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
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