Browsing Institutt for matematiske fag by Journals "SIAM Journal on Scientific Computing"

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    • Dissipative numerical schemes on Riemannian manifolds with applications to gradient flows 

      Celledoni, Elena; Eidnes, Sølve; Owren, Brynjulf; Ringholm, Torbjørn (Journal article; Peer reviewed, 2018)
      This paper concerns an extension of discrete gradient methods to finite-dimensional Riemannian manifolds termed discrete Riemannian gradients, and their application to dissipative ordinary differential equations. This ...

    • Multivariate Hermite interpolation of manifold-valued data 

      Zimmermann, Ralf; Bergmann, Ronny (Journal article, 2024)
      In this paper, we propose two methods for multivariate Hermite interpolation of manifold-valued functions. On the one hand, we approach the problem via computing suitable weighted Riemannian barycenters. To satisfy the ...