Publications by Author: Berz
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Order by: [Title], [Author], [Editor], [Year]
Martin Berz
Automatic differentiation as an application of nonarchimedean analysis
Article in IMACS Annals of Computing and Applied Mathematics,
not yet classified
Martin Berz
Automatic Differentiation as Nonarchimedean Analysis
National Superconducting Cyclotron Laboratory, Michigan State University, 1991
not yet classified
Martin Berz
Automatic Differentiation as Nonarchimedean Analysis
Conference proceeding, Computer Arithmetic and Enclosure Methods, Elsevier Science Publishers, 1992
not yet classified
Martin Berz
Calculus and Numerics on Levi-Civita Fields
Conference proceeding, Computational Differentiation: Techniques, Applications, and Tools, SIAM, 1996
not yet classified
Martin Berz, Kyoko Makino, Khodr Shamseddine, Georg H. Hoffstätter, Weishi Wan
COSY INFINITY and Its Applications in Nonlinear Dynamics
Computational Differentiation: Techniques, Applications, and Tools, SIAM, 1996
Tools:
COSY INFINITY
Theory & Techniques:
Sparsity
Martin Berz, Jens Hoefkens, Kyoko Makino
COSY INFINITY Version 8.1 --- Programming Manual
Department of Physics and Astronomy, Michigan State University, 2001
Tools:
COSY INFINITY
Martin Berz
COSY INFINITY Version 8.1 --- User's Guide and Reference Manual
Department of Physics and Astronomy, Michigan State University, 2002
Tools:
COSY INFINITY
Martin Berz
Differential Algebra -- A New Tool
Proceedings of the 1989 IEEE Particle Accelerator Conference, IEEE, 1989
not yet classified
Martin Berz
Differential Algebra Precompiler Version 3 --- Reference Manual
National Superconducting Cyclotron Laboratory, Michigan State University, 1990
not yet classified
Martin Berz
Differential algebraic description and analysis of trajectories in vacuum electronic devices including spacecharge effects
Article in IEEE Transactions on Electron Devices, 1988
not yet classified
Martin Berz
Differential Algebraic Description of Beam Dynamics to Very High Orders
Article in Particle Accelerators, 1989
not yet classified
Martin Berz
Differential Algebraic Formulation of Normal Form Theory
Conference proceeding, Proc. Nonlinear Effects in Accelerators, IOP Publishing, 1992
not yet classified
Martin Berz
Differential Algebraic Treatment of Beam Dynamics to Very High Orders including Applications to Spacecharge
Article in AIP Conference Proceedings, 1988
not yet classified
Jens Hoefkens, Martin Berz, Kyoko Makino
Efficient High-Order Methods for ODEs and DAEs
Automatic Differentiation of Algorithms: From Simulation to Optimization, Springer, 2002
not yet classified
Khodr Shamseddine, Martin Berz
Exception Handling in Derivative Computation with Nonarchimedean Calculus
Computational Differentiation: Techniques, Applications, and Tools, SIAM, 1996
not yet classified
Martin Berz
Forward Algorithms for High Orders and Many Variables with Application to Beam Physics
Automatic Differentiation of Algorithms: Theory, Implementation, and Application, SIAM, 1991
not yet classified
Martin Berz
High-Order Description of Accelerators using Differential Algebra and First Applications to the SSC
Conference proceeding, Proceedings, Snowmass Summer Meeting, 1988
not yet classified
Johannes Grote, Martin Berz, Kyoko Makino
High-Order Representation of Poincaré Maps
Automatic Differentiation: Applications, Theory, and Implementations, Springer, 2005
Application Area:
Dynamical Systems
Tools:
COSY INFINITY
Martin Berz
Infinitely Small Numbers and Almost Infinitely Large Accelerators, or: Automatic Differentiation as Nonarchimedean Analysis, in Workshop Report on First Theory Institute on Computational Differentiation
Mathematics and Computer Science Division, Argonne National Laboratory, 1993
not yet classified
Kyoko Makino, Martin Berz
New Applications of Taylor Model Methods
Automatic Differentiation of Algorithms: From Simulation to Optimization, Springer, 2002
not yet classified

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