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Spinor and Twistor Geometry in Einstein Gravity and Finsler Modifications

Vacaru, Sergiu

In: Advances in Applied Clifford Algebras, 2015, vol. 25, no. 2, p. 453-485

Sharp Differentiability Results for the Lower Local Lipschitz Constant and Applications to Non-embedding

Wildrick, K. ; Zürcher, T.

In: The Journal of Geometric Analysis, 2015, vol. 25, no. 4, p. 2590-2616

Optimal A Priori Discretization Error Bounds for Geodesic Finite Elements

Grohs, Philipp ; Hardering, Hanne ; Sander, Oliver

In: Foundations of Computational Mathematics, 2015, vol. 15, no. 6, p. 1357-1411

Almost Kähler Ricci Flows and Einstein and Lagrange-Finsler Structures on Lie Algebroids

Vacaru, Sergiu

In: Mediterranean Journal of Mathematics, 2015, vol. 12, no. 4, p. 1397-1427

Nonsmooth trust region algorithms for locally Lipschitz functions on Riemannian manifolds

Grohs, P. ; Hosseini, S.

In: Ima Journal of Numerical Analysis, 2016, vol. 36, no. 3, p. 1167-1192

Multilevel minimization in trust-region framework : algorithmic and software developments

Kopaničáková, Alena ; Krause, Rolf (Dir.)

Thèse de doctorat : Università della Svizzera italiana, 2020 ; 2020INFO021.

The field of scientific computing is associated with the modeling of complex physical phenomena. The resulting numerical models are often described by differential equations, which, in many cases, can be related to non-convex minimization problems. Thus, after discretization, the solution of large-scale non-convex optimization problem is required. Various iterative solution strategies can be...

On the quasi-isometric and bi-Lipschitz classification of 3D Riemannian Lie groups

Fässler, Katrin ; Donne, Enrico Le

In: Geometriae Dedicata, 2020, p. -

This note is concerned with the geometric classification of connected Lie groups of dimension three or less, endowed with left-invariant Riemannian metrics. On the one hand, assembling results from the literature, we give a review of the complete classification of such groups up to quasi-isometries and we compare the quasi- isometric classification with the bi-Lipschitz classification. On the...

The second order pullback equation

Csató, G. ; Dacorogna, B. ; Kneuss, O.

In: Calculus of Variations and Partial Differential Equations, 2014, vol. 49, no. 1-2, p. 583-611

Parabolic Molecules

Grohs, Philipp ; Kutyniok, Gitta

In: Foundations of Computational Mathematics, 2014, vol. 14, no. 2, p. 299-337

Kolmogorov-Chentsov Theorem and Differentiability of Random Fields on Manifolds

Andreev, R. ; Lang, A.

In: Potential Analysis, 2014, vol. 41, no. 3, p. 761-769