Zlib: A numerical library for optimal design of truncated power series algebra and map parameterization routines

Journal Article · Fri Jan 31 23:00:00 EST 1997 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.52378· OSTI ID:538329

Yan, Y T ^[1]

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1. Stanford Linear Accelerator Center, Stanford University, Stanford, California 94309 (United States)

A brief review of the Zlib development is given. Emphasized is the Zlib nerve system which uses the One-Step Index Pointers (OSIP{close_quote}s) for efficient computation and flexible use of the Truncated Power Series Algebra (TPSA). Also emphasized is the treatment of parameterized maps with an object-oriented language (e.g. C++). A parameterized map can be a Vector Power Series (Vps) or a Lie generator represented by an exponent of a Truncated Power Series (Tps) of which each coefficient is an object of truncated power series. {copyright} {ital 1997 American Institute of Physics.}

• Research Organization: Stanford Linear Accelerator Center
• Sponsoring Organization: USDOE
• DOE Contract Number: AC03-76SF00515
• OSTI ID: 538329
• Report Number(s): CONF-9609256--
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 391; ISSN 0094-243X; ISSN APCPCS
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
ACCELERATORS
BEAM DYNAMICS
BEAM TRANSPORT
C CODES
FORTRAN
LIE GROUPS
MATHEMATICAL MODELS
NONLINEAR PROBLEMS
POWER SERIES