Computational Approach to Riemann Surfaces

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Bobenko, Alexander I. (Επιμελητής έκδοσης), Klein, Christian (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.
• Σειρά: Lecture Notes in Mathematics, 2013
• Θέματα: Mathematics.; Algebraic geometry.; Functions of complex variables.; Numerical analysis.; Algebraic Geometry.; Functions of a Complex Variable.; Numerical Analysis.

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...

Πίνακας περιεχομένων:

• 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.