Computational Approach to Riemann Surfaces

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...

Full description

Bibliographic Details
Other Authors: TU Berlin, Alexander I. Bobenko (Editor), Klein, Christian (Editor)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2011, 2011
Edition:1st ed. 2011
Series:Lecture Notes in Mathematics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Introduction to Compact Riemann Surfaces
  • Computing with plane algebraic curves and Riemann surfaces: the algorithms of the Maple package “algcurves”
  • Algebraic curves and Riemann surfaces in Matlab
  • Computing Poincaré Theta Series for Schottky Groups
  • Uniformizing real hyperelliptic M-curves using the Schottky-Klein prime function
  • Numerical Schottky Uniformizations: Myrberg’s Opening Process
  • Period Matrices of Polyhedral Surfaces
  • On the spectral theory of the Laplacian on compact polyhedral surfaces of arbitrary genus