Computational performance of simple and efficient sequential and parallel Dirac equation solvers

Xavier Antoine (1, 2) , Emmanuel Lorin (3, 4)

1 SPHINX - Systems with physical heterogeneities : inverse problems, numerical simulation, control and stabilization
2 IECL - Institut Élie Cartan de Lorraine
3 School of Mathematics and Statistics [Ottawa]
4 CRM - Centre de Recherches Mathématiques [Montréal]

This paper is dedicated to the study of the computational performance of basic and efficient pseudo-spectral methods [9, 20, 27, 28] and of a more recent Quantum Lattice Boltzmann-like approach [13, 15, 26, 32, 35] for solving the Time Dependent Dirac Equation (TDDE) modeling the interaction of classical electromagnetic fields with quantum relativistic particles .

Mots clés: pseudo-spectral method; wave equation; high performance computing; Dirac equation

Domaines: Analyse numérique [math.NA]; Equations aux dérivées partielles [math.AP]

Xavier Antoine, Emmanuel Lorin. Computational performance of simple and efficient sequential and parallel Dirac equation solvers. Computer Physics Communications, 2017, 220, pp.150-172. ⟨10.1016/j.cpc.2017.07.001⟩. ⟨hal-01496817⟩