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.

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    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.;FunctionsvF.pdf: © 2012 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, 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 components 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

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