| Order by:
[Title],
[Author],
[Editor],
[Year] |
|---|
|
Martin Berz
Differential Algebraic Description of Beam Dynamics to Very High Orders
Article in
Particle Accelerators, 1989 |
not yet classified
|
|
|
Martin Berz
Differential Algebra -- A New Tool
Proceedings of the 1989 IEEE Particle Accelerator Conference, IEEE,
1989 |
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
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, Kyoko Makino
Verified Integration of ODEs and Flows using Differential Algebraic Methods on High-Order Taylor Models
Article in
Reliable Computing, 1998 |
not yet classified
|
|
|
Kyoko Makino, Martin Berz
Remainder Differential Algebras and their Applications
Computational Differentiation: Techniques, Applications, and Tools, SIAM,
1996 |
Tools:
COSY INFINITY
|
|
|
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
The Differential Algebra Fortran Precompiler DAFOR
Los Alamos National Laboratory, 1987 |
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 Treatment of Beam Dynamics to Very High Orders including Applications to Spacecharge
Article in
AIP Conference Proceedings, 1988 |
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
Automatic differentiation as an application of nonarchimedean analysis
Article in
IMACS Annals of Computing and Applied Mathematics, |
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
|
|
|
Etienne Forest, Martin Berz, J. Irwin
Normal Form Methods For Complicated Periodic Systems: A Complete Solution Using Differential Algebra and Lie Operators
Article in
Particle Accelerators, 1989 |
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
Differential Algebraic Formulation of Normal Form Theory
Conference proceeding,
Proc. Nonlinear Effects in Accelerators, IOP Publishing,
1992 |
not yet classified
|
|
|
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
|
|
|
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
|
