Additive normal forms and integration of differential fractions

DOI10.1016/j.jsc.2016.01.002zbMath1338.65062OpenAlexW2290979728MaRDI QIDQ277215

François Lemaire, François Boulier, Georg Regensburger, Markus Rosenkranz, Joseph Lallemand

Publication date: 4 May 2016

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

Full work available at URL: https://doi.org/10.1016/j.jsc.2016.01.002

zbMATH Keywords

algorithmnormal formsintegrationdifferential algebradifferential fractionfractions of differential polynomials

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Differential algebra (12H05) Numerical integration (65D30)

Related Items (3)

Comments on Risch’s On the Integration of Elementary Functions which are Built Up Using Algebraic Operations ⋮ A distribution input-output polynomial approach for estimating parameters in nonlinear models. Application to a chikungunya model ⋮ On Symbolic Approaches to Integro-Differential Equations

Uses Software

• DifferentialAlgebra
• INTEG

Cites Work

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• Decomposition of ordinary differential polynomials
• Fractional powers of operators and Hamiltonian systems
• Symbolic integration. I: Transcendental functions
• Associative differential operations
• An Algorithm for Converting Nonlinear Differential Equations to Integral Equations with an Application to Parameter Estimation from Noisy Data
• Hermite reduction and creative telescoping for hyperexponential functions
• On the integration of differential fractions
• Integration of unspecified functions and families of iterated integrals
• Finding First Integrals Using Normal Forms Modulo Differential Regular Chains
• Decomposition of differential polynomials with constant coefficients
• Multivariate partial fraction expansion

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