Computational approach to Riemann surfaces [electronic resource] / Alexander I. Bobenko, Christian Klein, editors.
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 t...
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Full Text (via Springer) |
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| Other Authors: | , |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Heidelberg :
Springer,
©2011.
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| Series: | Lecture notes in mathematics (Springer-Verlag) ;
2013. |
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Table of Contents:
- Introduction to compact Riemann surfaces / Alexander I. Bobenko
- Computing with plane algebraic curves and Riemann surfaces : the algorithms of the Maple package "algcurves" / Bernard Deconinck and Matthew S. Patterson
- Algebraic curves and Riemann surfaces in Matlab / Jörg Frauendiener and Christian Klein
- Computing Poincaré theta series for Schottky groups / Markus Schmies
- Uniformizing real hyperelliptic M-curves using the Schottky-Klein prime function / Darren Crowdy and Jonathan S. Marshall
- Numerical Schottky uniformizations : Myrberg's opening process / Rubén A. Hidalgo and Mika Seppälä
- Period matrices of polyhedral surfaces / Alexander I. Bobenko, Christian Mercat, and Markus Schmies
- On the spectral theory of the Laplacian on compact polyhedral surfaces of arbitrary genus / Alexey Kokotov.