Symbolic integration using homotopy methods

DOI10.1016/j.matcom.2009.08.032zbMath1182.65044OpenAlexW2047220215MaRDI QIDQ2655833

Michael Nivala, Bernard Deconinck

Publication date: 26 January 2010

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2009.08.032

zbMATH Keywords

optimizationalgorithmvariational calculusGaussian eliminationsymbolic integrationhomotopy methodsintegration of total derivatives

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Numerical integration (65D30)

Related Items

A family of wave-breaking equations generalizing the Camassa-Holm and Novikov equations ⋮ Symbolic integration using homotopy methods ⋮ Symmetry-invariant conservation laws of partial differential equations ⋮ Partial Euler operators and the efficient inversion of Div ⋮ Symbolic computation of conservation laws for nonlinear partial differential equations in multiple space dimensions ⋮ Computation of fluxes of conservation laws

Uses Software

• Maple

Cites Work

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• Continuous and discrete homotopy operators: a theoretical approach made concrete
• Computer algebra algorithms and routines for the computation of conservation laws and fixing of gauge in differential expressions
• Symbolic integration using homotopy methods
• Korteweg-deVries Equation and Generalizations. V. Uniqueness and Nonexistence of Polynomial Conservation Laws
• Direct construction method for conservation laws of partial differential equations Part II: General treatment
• Continuous and Discrete Homotopy Operators and the Computation of Conservation Laws
• The symbolic integration of exact PDEs.