DocumentCode
335102
Title
A flexible-variable truncated power series algebra in Zlib
Author
Yan, Y.T. ; Cai, Y. ; Irwin, J.
Author_Institution
Linear Accel. Center, Stanford Univ., CA, USA
Volume
2
fYear
1997
fDate
12-16 May 1997
Firstpage
2636
Abstract
Zlib is a numerical library for truncated power series algebra (TPSA) and Lie algebra for application to nonlinear analysis of single particle dynamics. The first version was developed in 1990 with the use of the one-step index pointers (OSIP´s). The OSIP´s form the Zlib nerve that offers optimal computation and allow order grading as well as flexible initialization of the global number of variables for the TPSA. While the OSIP´s are still kept for minimum index passing to achieve efficient computation, Zlib has been upgraded to allow flexible and gradable local number of variables in each C++ object of the truncated power series class. Possible applications using Zlib are discussed
Keywords
particle beam dynamics; physics computing; series (mathematics); Lie algebra; Zlib; one-step index pointers; single particle dynamics; truncated power series algebra; Algebra; Algorithms; Contracts; Data structures; H infinity control; Indexing; Labeling; Libraries; Physics;
fLanguage
English
Publisher
ieee
Conference_Titel
Particle Accelerator Conference, 1997. Proceedings of the 1997
Conference_Location
Vancouver, BC
Print_ISBN
0-7803-4376-X
Type
conf
DOI
10.1109/PAC.1997.751299
Filename
751299
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