Alexander I. This volume offers a well-structured overview of existent computational approaches to Riemann surfaces and those currently in development.

The authors of the contributions represent the groups providing publically available numerical codes in this field. Thus this volume illustrates which software tools are available and how they can be used in practice.

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## Topics in the Theory of Riemann Surfaces

In addition examples for solutions to partial differential equations and in surface theory are presented. The intended audience of this book is twofold.

- Computational Approach to Riemann Surfaces.
- A Course in Complex Analysis and Riemann Surfaces.
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It can be used as a textbook for a graduate course in numerics of Riemann surfaces, in which case the standard undergraduate background, i. The notion of weighted Delaunay tessellations carries over almost without change.

## EBSCOhost | | Computational Approach to Hyperelliptic Riemann Surfaces.

Punctured Riemann surfaces. In this project we will mostly follow a different approach involving the construction of Epstein and Penner, which is peculiar to hyperbolic geometry. The details of this construction were worked out by Epstein and Penner. These constructions have yet to be worked out in full detail.

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For instance, the maximal secondary cones will not necessarily correspond to triangulations. Algebra Geom.

Theory Ser. A, Date: DOI: Group: A. Geometry Principal Investigators: Prof. Home News Projects.

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