M. Berz

Publication List Details

Period

1994 - 2006

Number

14

Co-Authors

Taylor models and floating-point arithmetic: proof that arithmetic operations are validated in COSY (2006)

Revol, N., Makino, K., Berz, M.

The goal of this paper is to prove that the implementation of Taylor models in COSY, based on floating-point arithmetic, computes results satisfyin- g the «containment property», i.e. guaranteed...

Taylor models and floating-point arithmetic: proof that arithmetic operations are validated in COSY (2006)

Revol, N., Makino, K., Berz, M.

The goal of this paper is to prove that the implementation of Taylor models in COSY, based on floating-point arithmetic, computes results satisfyin- g the «containment property», i.e. guaranteed...

Taylor models and floating-point arithmetic: proof that arithmetic operations are validated in COSY (2003)

Unit Mixte, Recherche Cnrs-inria-ens Lyon, N. Revol, K. Makino, M. Berz

The goal of this paper is to prove that the implementation of Taylor models in COSY, based on oating-point arithmetic, computes results satisfying the containment property, i.e. guaranteed results.

Taylor models and floating-point arithmetic: proof that arithmetic operations are validated in COSY (2003)

Revol, N., Makino, K., Berz, M.

The goal of this paper is to prove that the implementation of Taylor models in COSY, based on floating-point arithmetic, computes results satisfyin- g the «containment property», i.e. guaranteed...

EUROPEAN ORGANIZATION FOR NUCLEAR RESEARCH CERN-SL-2000-011 AP CERN-NUFACT-NOTE 21 Fringe Fields and Dynamic Aperture in the FNAL Muon Storage Ring F. Zimmermann, C. Johnstone, M. Berz (2000)

F. Zimmermann, C. Johnstone, M. Berz, B. Erdelyi, K. Makino, W. Wan

Quadrupole fringe fields can limit the dynamic aperture of muon storage rings. Using the computer code COSY INFINITY for particle tracking and normal-form analysis, we evaluate the importance of...

Fringe Fields and Dynamic Aperture in the FNAL Muon Storage Ring (2000)

Zimmermann, Frank, Berz, M, Erdélyi, B, Johnstone, C, Makino, K, Wan, W

Quadrupole fringe fields can limit the dynamic aperture of muon storage rings.Using the computer code COSY INFINITY for particle tracking and normal-form analysis, we evaluate the importance of...

High-Order Computation And Normal Form Analysis Of Repetitive Systems (1998)

M. Berz

Besides the mere tracking of individual particles through an accelerator lattice, it is often helpful to study the corresponding phase space map relating initial and final coordinates. Recent years...

Differential Algebraic Description of Beam Dynamics to Very High Orders (1997)

M. Berz

The new method of differential algebras for the description of beam dynamics is presented. It allows a very straightforward and elegant computation of transfer maps of accelerator systems which can...

Automatic Differentiation as Nonarchimedean Analysis (1997)

M. Berz, Martin Berz

It is shown how the techniques of automatic differentiation can be viewed in a broader context as an application of analysis on a nonarchimedean field. The rings used in automatic differentiation can...