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The Lie Group Structure of the Butcher Group

- Geir Bogfjellmo, Alexander Schmeding
- MathematicsFound. Comput. Math.
- 17 October 2014

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Extending Whitney’s extension theorem: nonlinear function spaces

- David Michael Roberts, Alexander Schmeding
- MathematicsAnnales de l'Institut Fourier
- 12 January 2018

This article shows that there is a continuous extension operator for compactly-supported smooth sections of vector bundles on possibly non-compact smooth manifolds, where the closed set to which… Expand

The Lie group of bisections of a Lie groupoid

- Alexander Schmeding, Christoph Wockel
- Mathematics
- 4 September 2014

In this article, we endow the group of bisections of a Lie groupoid with compact base with a natural locally convex Lie group structure. Moreover, we develop thoroughly the connection to the algebra… Expand

Shape analysis on homogeneous spaces

- E. Celledoni, Sølve Eidnes, Alexander Schmeding
- Mathematics
- 5 April 2017

Shape analysis is ubiquitous in problems of pattern and object recognition and has developed considerably in the last decade. The use of shapes is natural in applications where one wants to compare… Expand

Shape Analysis on Homogeneous Spaces: A Generalised SRVT Framework

- E. Celledoni, Sølve Eidnes, Alexander Schmeding
- Mathematics
- 16 August 2016

Shape analysis is ubiquitous in problems of pattern and object recognition and has developed considerably in the last decade. The use of shapes is natural in applications where one wants to compare… Expand

Manifolds of absolutely continuous curves and the square root velocity framework

- Alexander Schmeding
- Mathematics
- 8 December 2016

A classical result in Riemannian geometry states that the absolutely continuous curves into a (finite-dimensional) Riemannian manifold form an infinite-dimensional manifold. In the present paper this… Expand

Lie groupoids of mappings taking values in a Lie groupoid

- H. Amiri, Helge Glockner, Alexander Schmeding
- MathematicsArchivum Mathematicum
- 7 November 2018

Endowing differentiable functions from a compact manifold to a Lie group with the pointwise group operations one obtains the so-called current groups and, as a special case, loop groups. These are… Expand

The Lie group of real analytic diffeomorphisms is not real analytic

- R. Dahmen, Alexander Schmeding
- Mathematics
- 24 October 2014

We construct an infinite dimensional real analytic manifold structure for the space of real analytic mappings from a compact manifold to a locally convex manifold. Here a map is real analytic if it… Expand

Differentiable mappings on products with different degrees of differentiability in the two factors

- Hamza Alzaareer, Alexander Schmeding
- Mathematics
- 31 August 2012

The tame Butcher group

- Geir Bogfjellmo, Alexander Schmeding
- Mathematics
- 11 September 2015

The Butcher group is a powerful tool to analyse integration methods for ordinary differential equations, in particular Runge--Kutta methods. Recently, a natural Lie group structure has been… Expand

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