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ESAIM Mathematical Modelling and Numerical Analysis
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Article . 2002
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ESAIM Mathematical Modelling and Numerical Analysis
Article . 2002 . Peer-reviewed
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https://dx.doi.org/10.1051/m2a...
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GO++: A modular Lagrangian/Eulerian software for Hamilton Jacobi equations of geometric optics type

GO++: a modular Lagrangian/Eulerian software for Hamilton Jacobi equations of geometric optics type
descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 2002Publisher:EDP SciencesJournal:ESAIM: Mathematical Modelling and Numerical Analysis, volume 36, pages 883-905 (issn: 0764-583X, eissn: 1290-3841, Copyright policy )
Authors: Benamou, Jean-David; Hoch, Philippe;

doi: 10.1051/m2an:2002037

GO++: A modular Lagrangian/Eulerian software for Hamilton Jacobi equations of geometric optics type

Abstract

Summary: We describe both the classical Lagrangian and the Eulerian methods for first order Hamilton-Jacobi equations of geometric optic type. We then explain the basic structure of the software and how new solvers/models can be added to it. A selection of numerical examples are presented.

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Keywords

Software, source code, etc. for problems pertaining to optics and electromagnetic theory, Basic methods for problems in optics and electromagnetic theory, viscosity solution, geometric optics, ray tracing, Hamilton-Jacobi equations in mechanics, upwind scheme, Packaged methods for numerical algorithms, Hamiltonian system, Hamilton-Jacobi equations, Geometric optics, C++

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
bronze