Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	Dr. Jian Liu, University of Science and Technology of China
Inviter:
Title:	Lorentz covariant symplectic algorithms for dynamics of charged particles
Time & Venue:	2019.09.10 11:05-11:50 N204
Abstract:	Most differential equation systems (ODEs and PDEs) are Lorentz covariant for real physical models. Lorentz covariance is a key property of physical systems according to the theory of relativity. The Lorentz covariance of algorithms is introduced in this talk. Under Lorentz transformation, both the form and performance of a Lorentz covariant algorithm are invariant. To acquire the advantages of symplectic algorithms and Lorentz covariance, a general procedure for constructing Lorentz covariant canonical symplectic algorithms (LCCSAs) is provided, based on which an explicit LCCSA for dynamics of relativistic charged particles is built. LCCSA possesses Lorentz invariance as well as long-term numerical accuracy and stability, due to the preservation of a discrete symplectic structure and the Lorentz symmetry of the system.