On Kahan's Rules for Determining Branch Cuts
On Kahan's Rules for Determining Branch Cuts
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.
SYNASC 2011. 13th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing. (2011)
differential equation, Computer Science - Symbolic Computation, FOS: Computer and information sciences, [INFO.INFO-SC] Computer Science [cs]/Symbolic Computation [cs.SC], branch cut, Symbolic Computation (cs.SC), computer algebra
differential equation, Computer Science - Symbolic Computation, FOS: Computer and information sciences, [INFO.INFO-SC] Computer Science [cs]/Symbolic Computation [cs.SC], branch cut, Symbolic Computation (cs.SC), computer algebra
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