Frederic Chyzak, James Davenport, Christoph Koutschan, Bruno Salvy,
"On Kahan's Rules for Determining Branch Cuts"
, in Dongming Wang et al.: Proceedings of the 13th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC 2011), IEEE Computer Society - Conference Publishing Services (CPS), Seite(n) 47-51, 2011, ISBN: 978-0-7695-4630-8
Original Titel:
On Kahan's Rules for Determining Branch Cuts
Sprache des Titels:
Englisch
Original Buchtitel:
Proceedings of the 13th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC 2011)
Original Kurzfassung:
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.
Sprache der Kurzfassung:
Englisch
Veröffentlicher:
IEEE Computer Society - Conference Publishing Services (CPS)