Work

On the singularity structure of Kahan discretizations of a class of quadratic vector fields

Year: 2021

Type: article

Abstract: We discuss the singularity structure of Kahan discretizations of a class of quadratic vector fields and provide a classification of the parameter values such that the corresponding Kahan map is integrable, in particular, admits an invariant pencil of elliptic curves.

Source: European Journal of Mathematics

DOI: 10.1007/s40879-021-00479-4

Author: René Zander

Institution: Technische Universität Berlin

Language: English

Topic: Numerical methods for differential equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,780

Funder: Deutsche Forschungsgemeinschaft