Результаты исследований: Научные публикации в периодических изданиях › статья в журнале по материалам конференции › Рецензирование
Algebraic modeling and parallel computing. / Andrianov, S. N.; Edamenko, N. S.; Dyatlov, A. A.
в: Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Том 558, № 1, 01.03.2006, стр. 150-153.Результаты исследований: Научные публикации в периодических изданиях › статья в журнале по материалам конференции › Рецензирование
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TY - JOUR
T1 - Algebraic modeling and parallel computing
AU - Andrianov, S. N.
AU - Edamenko, N. S.
AU - Dyatlov, A. A.
PY - 2006/3/1
Y1 - 2006/3/1
N2 - In this paper, we present an algebraic approach for beam dynamics simulation in linear and circular accelerators. A two- and three-dimensional distribution function approach is employed within the matrix formalism for Lie algebraic methods and computer algebra codes. Implementing software design provides the code rather good maintainability, reusability, and extensibility. This approach is an alternative to well-known Particle-in-Cell approach. But it can be easily applied to the PIC-approach and thus to make better their effectiveness. As a required demand, the code also include symplectic integration methods (based on a correcting procedure for aberration matrices) up to an approximation order.
AB - In this paper, we present an algebraic approach for beam dynamics simulation in linear and circular accelerators. A two- and three-dimensional distribution function approach is employed within the matrix formalism for Lie algebraic methods and computer algebra codes. Implementing software design provides the code rather good maintainability, reusability, and extensibility. This approach is an alternative to well-known Particle-in-Cell approach. But it can be easily applied to the PIC-approach and thus to make better their effectiveness. As a required demand, the code also include symplectic integration methods (based on a correcting procedure for aberration matrices) up to an approximation order.
KW - Beam optics
KW - Lie methods
KW - Numerical optimization
KW - Symbolic computation
UR - http://www.scopus.com/inward/record.url?scp=32844463629&partnerID=8YFLogxK
U2 - 10.1016/j.nima.2005.11.036
DO - 10.1016/j.nima.2005.11.036
M3 - Conference article
AN - SCOPUS:32844463629
VL - 558
SP - 150
EP - 153
JO - Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment
JF - Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment
SN - 0168-9002
IS - 1
T2 - 8th International Computational Accelerator Physics Conference ICAP 2004
Y2 - 29 June 2004 through 2 July 2004
ER -
ID: 36657379