Advances in Discrete Differential Geometry

1. Discrete Conformal Maps: Boundary Value Problems, Circle Domains, Fuchsian and Schottky Uniformization
Alexander I. Bobenko, Stefan Sechelmann, Boris Springborn

2. Discrete Complex Analysis on Planar Quad-Graphs
Alexander I. Bobenko, Felix Günther

3. Approximation of Conformal Mappings Using Conformally Equivalent Triangular Lattices
Ulrike Bücking

4. Numerical Methods for the Discrete Map



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Folkmar Bornemann, Alexander Its, Sheehan Olver, Georg Wechslberger

5. A Variational Principle for Cyclic Polygons with Prescribed Edge Lengths
Hana Kouřimská, Lara Skuppin, Boris Springborn

6. Complex Line Bundles Over Simplicial Complexes and Their Applications
Felix Knöppel, Ulrich Pinkall

7. Holomorphic Vector Fields and Quadratic Differentials on Planar Triangular Meshes
Wai Yeung Lam, Ulrich Pinkall

8. Vertex Normals and Face Curvatures ofTriangle Meshes
Xiang Sun, Caigui Jiang, Johannes Wallner, Helmut Pottmann

9. S-Conical CMC Surfaces. Towards a Unified Theory of Discrete Surfaces with Constant Mean Curvature
Alexander I. Bobenko, Tim Hoffmann

10. Constructing Solutions to the Björling Problem for Isothermic Surfaces by Structure Preserving Discretization
Ulrike Bücking, Daniel Matthes

11. On the Lagrangian Structure of Integrable Hierarchies
Yuri B. Suris, Mats Vermeeren

12. On the Variational Interpretation of the Discrete KP Equation
Raphael Boll, Matteo Petrera, Yuri B. Suris

13. Six Topics on Inscribable Polytopes
Arnau Padrol, Günter M. Ziegler

14. DGD Gallery: Storage, Sharing, and Publication of Digital Research Data
Michael Joswig, Milan Mehner, Stefan Sechelmann, Jan Techter, Alexander I. Bobenko

Avainsanat: Mathematics, Differential Geometry, Functions of a Complex Variable, Dynamical Systems and Ergodic Theory, Computer Graphics, Numerical and Computational Physics