Efficient differential algebra computations

Author

Cary, John R. ; Shasharina, Svetlana G.

Author_Institution

Tech-X Corp., Boulder, CO, USA

Volume

1

fYear

1999

fDate

1999

Firstpage

377

Abstract

Numerical Differential Algebra (DA) is a powerful tool for studying non-linear motion in accelerators, beam and optics devices. Implementation of DA is the easiest in an object oriented programming language, especially C++. In addition to standard object oriented features, C++ allows for operator overloading and static polymorphism via templates. In this paper we discuss (1) use of templates for polymorphic use of the code, so it can treat both dynamical variables and DA maps, (2) methods of optimisation for speed needed for efficient use DA in accelerator physics and other applications

Keywords

C++ language; algebra; object-oriented programming; particle beam dynamics; physics computing; accelerator physics; efficient differential algebra computations; object oriented programming language; operator overloading; polymorphic use; standard object oriented features; static polymorphism; templates; Algebra; Nonlinear equations; Nonlinear optical devices; Nonlinear optics; Object oriented programming; Optical beams; Optical devices; Optical sensors; Particle beams; Taylor series;

fLanguage

English

Publisher

ieee

Conference_Titel

Particle Accelerator Conference, 1999. Proceedings of the 1999

Conference_Location

New York, NY

Print_ISBN

0-7803-5573-3

Type

conf

DOI

10.1109/PAC.1999.795710

Filename

795710