Symmetric multistep methods for charged-particle dynamics

Author:

Hairer Ernst,Lubich Christian

Publisher

Cellule MathDoc/CEDRAM

Subject

Computational Mathematics,Modeling and Simulation,Numerical Analysis,Statistics and Probability

Reference12 articles.

1. [1] Boris, J. P. Relativistic plasma simulation-optimization of a hybrid code, Proceeding of Fourth Conference on Numerical Simulations of Plasmas (1970), pp. 3-67

2. [2] Console, P.; Hairer, E.; Lubich, C. Symmetric multistep methods for constrained Hamiltonian systems, Numerische Mathematik, Volume 124 (2013), pp. 517-539

3. [3] Dahlquist, G. Stability and error bounds in the numerical integration of ordinary differential equations, Trans. of the Royal Inst. of Techn., Stockholm, Sweden, Volume 130 (1959)

4. [4] Ellison, C. L.; Burby, J. W.; Qin, H. Comment on “Symplectic integration of magnetic systems”: A proof that the Boris algorithm is not variational, J. Comput. Phys., Volume 301 (2015), pp. 489-493

5. [5] Hairer, E.; Lubich, C. Symmetric multistep methods over long times, Numer. Math., Volume 97 (2004), pp. 699-723

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