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math.NA2020
Structure-preserving algorithms with uniform error bound and long-time energy conservation for highly oscillatory Hamiltonian systems
Bin Wang, Yaolin Jiang
Structure-preserving algorithms and algorithms with uniform error bound have constituted two interesting classes of numerical methods. In this paper, we blend these two kinds of me…
math.NA2020
Optimal convergence and long-time conservation of exponential integration for Schrödinger equations in a normal or highly oscillatory regime
Bin Wang, Yaolin Jiang
In this paper, we formulate and analyse exponential integrations when applied to nonlinear Schrödinger equations in a normal or highly oscillatory regime. A kind of exponential int…
math.NA2020
Error estimates of some splitting schemes for charged-particle dynamics under strong magnetic field
Bin Wang, Xiaofei Zhao
In this work, we consider the error estimates of some splitting schemes for the charged-particle dynamics under a strong magnetic field. We first propose a novel energy-preserving…