| 1. |
- Mais, Helmut, et al.
(författare)
-
Stochastic dynamics and Fokker-Planck equation in accelerator physics
- 1999
-
Ingår i: Nuovo cimento. A. - : Editrice Compositori. - 0369-3546 .- 1826-9869. ; 12:5, s. 467-474
-
Tidskriftsartikel (refereegranskat)abstract
- The aim of this contribution is to study the particle dynamics in a storage ring under the influence of noise. Some simplified stochastic beam dynamics problems are treated by solving the corresponding Fokker-Planck equations numerically
|
|
| 2. |
- Zorzano, María Paz, et al.
(författare)
-
Numerical solution for Fokker-Planck equations in accelerators
- 1998
-
Ingår i: Proceedings of the 1997 17th Particle Accelerator Conference, PAC-97. - Piscataway, NJ : Institute of Electrical and Electronics Engineers (IEEE). ; , s. 1825-1827
-
Konferensbidrag (refereegranskat)abstract
- A finite difference scheme is presented to solve the Fokker-Planck equation in (2+1) variables numerically. This scheme is applied to study stochastic beam dynamics in two-dimensional phase space.
|
|
| 3. |
- Zorzano, María Paz, et al.
(författare)
-
Numerical solution for Fokker-Planck equations in accelerators
- 1998
-
Ingår i: Physica D. - : Elsevier. - 0167-2789 .- 1872-8022. ; 113:2-4, s. 379-381
-
Tidskriftsartikel (refereegranskat)abstract
- We present a finite difference scheme to solve numerically the type of Fokker-Planck equations describing the stochastic dynamics of a particle in a storage ring.
|
|
| 4. |
- Zorzano, María Paz, et al.
(författare)
-
Numerical solution of two dimensional Fokker-Planck equations
- 1999
-
Ingår i: Applied Mathematics and Computation. - : Elsevier. - 0096-3003 .- 1873-5649. ; 98:2-3, s. 109-117
-
Tidskriftsartikel (refereegranskat)abstract
- We present a robust finite difference scheme for the integration of the Fokker-Planck (FP) equation with two variables plus time. The scheme is checked with problems where analytical solutions exist and it is compared with finite element codes, as well as with simulations of the associated Stochastic Differential Equation (SDE). The precision and stability of the scheme are verified.
|
|
