Transforming ODEs and PDEs with radical coefficients into rational coefficients

Transforming ODEs and PDEs with radical coefficients into rational coefficients

We present an algorithm that transforms, if possible, a given ODE or PDE with radical function coefficients into one with rational coefficients by means of a rational change of variables. It also applies to systems of linear ODEs. It is based on previous work on reparametrization of radical algebrai...

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Hauptverfasser: Caravantes, Jorge, Sendra, J. Rafael, Sevilla, David, Villarino, Carlos
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Sprache:eng
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Computer Science - Symbolic Computation
Mathematics - Algebraic Geometry
Mathematics - Classical Analysis and ODEs
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creator Caravantes, Jorge
Sendra, J. Rafael
Sevilla, David
Villarino, Carlos
description We present an algorithm that transforms, if possible, a given ODE or PDE with radical function coefficients into one with rational coefficients by means of a rational change of variables. It also applies to systems of linear ODEs. It is based on previous work on reparametrization of radical algebraic varieties.
doi_str_mv 10.48550/arxiv.2003.06301
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subjects Computer Science - Symbolic Computation
Mathematics - Algebraic Geometry
Mathematics - Classical Analysis and ODEs
title Transforming ODEs and PDEs with radical coefficients into rational coefficients
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