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Computational approach to Riemann surfaces

Author: Alexander I Bobenko; Christian Klein
Publisher: Heidelberg : Springer, ©2011.
Series: Lecture notes in mathematics (Springer-Verlag), 2013.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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. In addition examples for solutions to partial differential  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Computational approach to Riemann surfaces.
Heidelberg : Springer, ©2011
(OCoLC)690089181
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Alexander I Bobenko; Christian Klein
ISBN: 9783642174131 3642174132
OCLC Number: 710113236
Description: 1 online resource (xii, 257 pages) : illustrations.
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.
Series Title: Lecture notes in mathematics (Springer-Verlag), 2013.
Responsibility: Alexander I. Bobenko, Christian Klein, editors.

Abstract:

This volume is a well structured overview of existing computational approaches to Riemann surfaces as well as those under development. It covers the software tools currently available and provides  Read more...

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