GeM software package for computation of symmetries and conservation laws of differential equations
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Publication:710099
DOI10.1016/j.cpc.2006.08.001zbMath1196.34045OpenAlexW2149369013WikidataQ115045520 ScholiaQ115045520MaRDI QIDQ710099
Publication date: 18 October 2010
Published in: Computer Physics Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cpc.2006.08.001
classificationPDEconservation lawssymbolic computationdifferential equationssymmetriesapproximate symmetryLie symmetryhigher symmetry\texttt{Maple}Lie-Bäcklund symmetry\texttt{GeM}adjoint symmetry
Symmetries, invariants of ordinary differential equations (34C14) Hyperbolic conservation laws (35L65) Geometric theory, characteristics, transformations in context of PDEs (35A30) Packaged methods for numerical algorithms (65Y15) Software, source code, etc. for problems pertaining to partial differential equations (35-04) Software, source code, etc. for problems pertaining to ordinary differential equations (34-04)
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Uses Software
Cites Work
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- Quasiconvexity and uniqueness of equilibrium solutions in nonlinear elasticity
- Perturbation methods in group analysis
- Review of symbolic software for Lie symmetry analysis
- Connections between symmetries and conservation laws
- Exact anisotropic MHD equilibria
- Framework for potential systems and nonlocal symmetries: Algorithmic approach
- On approximate symmetry and approximate solutions of the nonlinear wave equation with a small parameter
- Symbolic computation of conservation laws of nonlinear partial differential equations in multi‐dimensions
- A comparison of four approaches to the calculation of conservation laws
- Direct construction method for conservation laws of partial differential equations Part I: Examples of conservation law classifications
- Direct construction method for conservation laws of partial differential equations Part II: General treatment
- Integrals of nonlinear equations of evolution and solitary waves
- Symmetry-based algorithms to relate partial differential equations: I. Local symmetries
- Infinite symmetries of the ideal MHD equilibrium equations
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