Geometric Numerical Integration

Erwan Faou (1, 2) , Ernst Hairer (3) , Marlis Hochbruck (4) , Christian Lubich (5)

1 IRMAR - Institut de Recherche Mathématique de Rennes
2 IPSO - Invariant Preserving SOlvers
3 Section de mathématiques [Genève]
4 Institut für Angewandte und Numerische Mathematik [Karlsruhe]
5 Mathematisches Institut [Tübingen]

The subject of this workshop was numerical methods that preserve geometric properties of the flow of an ordinary or partial differential equation. This was complemented by the question as to how structure preservation affects the long-time behaviour of numerical methods.

Domains: Numerical Analysis [math.NA]

Erwan Faou, Ernst Hairer, Marlis Hochbruck, Christian Lubich. Geometric Numerical Integration. [Research Report] 18/2016, Mathematisches Forschungsinstitut Oberwolfach. 2016, pp.869 - 948. ⟨hal-01403326⟩