A Bisection-Like Algorithm for Branch Switching at a Simple Branch Point

2009 ◽  
Vol 41 (1) ◽  
pp. 62-69 ◽  
Author(s):  
J. Hughes ◽  
M. Friedman
2005 ◽  
Vol 38 (10) ◽  
pp. 4484-4494 ◽  
Author(s):  
Jung Hun Lee ◽  
Lewis J. Fetters ◽  
Lynden A. Archer

2013 ◽  
Vol 33 (5) ◽  
pp. 2156-2165 ◽  
Author(s):  
M. Ferrante ◽  
M. Migliore ◽  
G. A. Ascoli

2021 ◽  
Vol 24 (3) ◽  
Author(s):  
Alexander I. Bobenko ◽  
Ulrike Bücking

AbstractWe consider the class of compact Riemann surfaces which are ramified coverings of the Riemann sphere $\hat {\mathbb {C}}$ ℂ ̂ . Based on a triangulation of this covering we define discrete (multivalued) harmonic and holomorphic functions. We prove that the corresponding discrete period matrices converge to their continuous counterparts. In order to achieve an error estimate, which is linear in the maximal edge length of the triangles, we suitably adapt the triangulations in a neighborhood of every branch point. Finally, we also prove a convergence result for discrete holomorphic integrals for our adapted triangulations of the ramified covering.


Nano Letters ◽  
2005 ◽  
Vol 5 (7) ◽  
pp. 1519-1523 ◽  
Author(s):  
Yi Cui ◽  
Uri Banin ◽  
Mikael T. Björk ◽  
A. Paul Alivisatos

Bone ◽  
2017 ◽  
Vol 94 ◽  
pp. 75-83 ◽  
Author(s):  
Birgit Mentrup ◽  
Hermann Girschick ◽  
Franz Jakob ◽  
Christine Hofmann
Keyword(s):  

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