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- University of EdinburghGB11 papers
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10 papers · 1 filter
Discrete moving frames and discrete integrable systems
Elizabeth Mansfield, Gloria Marí Beffa, Jing Ping Wang
Group based moving frames have a wide range of applications, from the classical equivalence problems in differential geometry to more modern applications such as computer vision. H…
Homological Localisation of Model Categories
David Barnes, Constanze Roitzheim
One of the most useful methods for studying the stable homotopy category is localising at some spectrum E. For an arbitrary stable model category we introduce a candidate for the E…
Regular and Singular Boundary Problems in Maple
Anja Korporal, Georg Regensburger, Markus Rosenkranz
We describe a new Maple package for treating boundary problems for linear ordinary differential equations, allowing two-/multipoint as well as Stieltjes boundary conditions. For ex…
Symbolic Analysis for Boundary Problems: From Rewriting to Parametrized Gröbner Bases
Markus Rosenkranz, Georg Regensburger, Loredana Tec +1
We review our algebraic framework for linear boundary problems (concentrating on ordinary differential equations). Its starting point is an appropriate algebraization of the domain…
Properties of the series solution for Painleve I
A. N. W. Hone, O. Ragnisco, F. Zullo
We present some observations on the asymptotic behaviour of the coefficients in the Laurent series expansion of solutions of the first Painleve equation. For the general solution,…
Classification of factorial generalized down-up algebras
Stéphane Launois, Samuel A. Lopes
We determine when a generalized down-up algebra is a Noetherian unique factorisation domain or a Noetherian unique factorisation ring.