A linear-algebraic method to compute polynomial PDE conservation laws

DOI10.1016/j.jsc.2021.06.003zbMath1475.35124OpenAlexW3167315729WikidataQ114154456 ScholiaQ114154456MaRDI QIDQ2048156

Michele Boreale, Luisa Collodi

Publication date: 5 August 2021

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2021.06.003

zbMATH Keywords

Gröbner basespolynomial conservation lawssystems of polynomial PDEs

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Hyperbolic conservation laws (35L65) Systems of nonlinear higher-order PDEs (35G50)

Related Items (1)

Automatic pre- and postconditions for partial differential equations

Uses Software

• ConservationLawsMD

Cites Work

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• Symbolic computation of conservation laws for nonlinear partial differential equations in multiple space dimensions
• Computation of fluxes of conservation laws
• Comparison of different approaches to conservation laws for some partial differential equations in fluid mechanics
• Finding First Integrals Using Normal Forms Modulo Differential Regular Chains
• A comparison of four approaches to the calculation of conservation laws
• Direct construction method for conservation laws of partial differential equations Part II: General treatment
• On the Coalgebra of Partial Differential Equations
• Complete Algorithms for Algebraic Strongest Postconditions and Weakest Preconditions in Polynomial ODE’S

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