Results 271 to 280 of about 275,517 (307)

On the Relationship Between Differential Algebra and Tropical Differential Algebraic Geometry [PDF]

open access: yesComputer Algebra in Scientific Computing, 2021
This paper presents the relationship between differential algebra and tropical differential algebraic geometry, mostly focusing on the existence problem of formal power series solutions for systems of polynomial ODE and PDE. Moreover, it improves an approximation theorem involved in the proof of the fundamental theorem of tropical differential ...
François Boulier   +3 more
semanticscholar   +6 more sources

Differential forms in algebraic geometry

, 2011
Before considering more general spaces we shall first discuss (1) the r-dimensional projective space Π r . In this space we shall consider a homogeneous coordinate system (Z0, Z1, ... , Z r ). Let U α be that part of Π r in which Z α ≠ 0. In U α we may then introduce non-homogeneous coordinates zαi = Zι/Zα (ι≠α).
W. Hodge
semanticscholar   +4 more sources

Numerical Algebraic Geometry and Differential Equations [PDF]

open access: possible, 2014
In this paper we review applications of numerical algebraic geometry to differential equations. The techniques we address are direct solution, bootstrapping by filtering, and continuation and bifurcation. We review differential equations systems with multiple solutions and bifurcations.
Wenrui Hao, Bei Hu, A. Sommese
semanticscholar   +2 more sources

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