The integration of systems of linear PDEs using conservation laws of syzygies

DOI10.1016/S0747-7171(03)00020-8zbMath1026.35003OpenAlexW2047164313MaRDI QIDQ1404416

D. Massart

Publication date: 21 August 2003

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

Full work available at URL: https://doi.org/10.1016/s0747-7171(03)00020-8

zbMATH Keywords

differential Gröbner basis computation

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Numerical mathematical programming methods (65K05) Hyperbolic conservation laws (35L65) Geometric theory, characteristics, transformations in context of PDEs (35A30) Overdetermined systems of PDEs with variable coefficients (35N10) Other special methods applied to PDEs (35A25)

Related Items (1)

Sufficient set of integrability conditions of an orthonomic system

Uses Software

• diffgrob2

Cites Work

• Computer algebra algorithms and routines for the computation of conservation laws and fixing of gauge in differential expressions
• Essential components of an algebraic differential equation
• Reduction of systems of nonlinear partial differential equations to simplified involutive forms
• A comparison of four approaches to the calculation of conservation laws
• The symbolic integration of exact PDEs.
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