Research

On Kahan's rules for determining branch cuts


Reference:

Chyzak, F., Davenport, J. H., Koutschan, C. and Salvy, B., 2012. On Kahan's rules for determining branch cuts. In: Proc. SYNASC '11. IEEE Press.

Related documents:

This repository does not currently have the full-text of this item.
You may be able to access a copy if URLs are provided below.

Abstract

In computer algebra there are different ways of approaching the mathematical concept of functions, one of which is by defining them as solutions of differential equations. We compare different such approaches and discuss the occurring problems. The main focus is on the question of determining possible branch cuts. We explore the extent to which the treatment of branch cuts can be rendered (more) algorithmic, by adapting Kahan's rules to the differential equation setting.

Details

Item Type Book Sections
CreatorsChyzak, F., Davenport, J. H., Koutschan, C. and Salvy, B.
Uncontrolled Keywordsdifferential equation, computer algebra, branch cut
DepartmentsFaculty of Science > Computer Science
Publisher StatementFunctionsvF.pdf: © 2012 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
StatusPublished
ID Code27427
Additional InformationSYNASC 2011. 13th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing. September 26-29, 2011. Timisoara, Romania

Export

Actions (login required)

View Item