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Convergence of spectral discretization for the flow of diffeomorphisms B2VE3JQZD3

URIm2://res/B2VE3JQZD3
Kindpreprint
CreatorsBenedikt Wirth
Date2024-10-09
MSC65-XX
Subjectsarxiv math.NA, arxiv cs.NA
Scopein

Expressions

e1: version, preprint

Languageen
Date2024-10-09
IdsarXiv 2410.06788

Items in this resource

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

ItemKindWhereSource
Continuity of compositionstatementlemma 8arxiv
Regularity of compositionstatementlemma 9arxiv
Convergent scheme for generic regularitystatementcorollary 28arxiv
Consistency order of truncated Fourier seriesstatementlemma 19arxiv
Quadratic term regularitystatementproposition 25arxiv
Group of Sobolev diffeomorphismsdefinitiondefinition 3arxiv
Weak geodesic PDEstatementlemma 14arxiv
Continuity of $\adjointMap^*$statementlemma 11arxiv
$H^{m-1}$-regularity of velocity changestatementcorollary 26arxiv
Convergence of geodesic approximationstatementtheorem 27arxiv
Convergence of bandlimited EPDiff equationstatementtheorem 1arxiv
Constant velocity geodesicsstatementlemma 24arxiv
Sobolev regularity preservation along geodesicsstatementtheorem 2arxiv
Differentiable Sobolev metricsstatementlemma 12arxiv
Eulerian velocity and flowdefinitiondefinition 6arxiv
Preservation of higher Sobolev regularitystatementtheorem 15arxiv
Right-invariant Sobolev metricdefinitiondefinition 4arxiv
Uniform Fourier decay along a continuous pathstatementlemma 20arxiv
Norm and composition estimates for the flowstatementproposition 10arxiv
Continuity of multiplicationstatementlemma 7arxiv
Computational effortstatementproposition 21arxiv
Approximate Riemannian Lie group geodesicsstatementproposition 22arxiv
Path energy and Riemannian distance on $\DiffSobId^m$definitiondefinition 5arxiv

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