In this paper we consider the construction, analysis, implementation and application of
exponential integrators. The focus will be on two types of stiff problems. The first one is …

An efficient Krylov subspace algorithm for computing actions of the φ matrix function for large
matrices is proposed. This matrix function is widely used in exponential time integration …

In this paper we develop a new spatial fourth-order energy-conserved splitting finite-
difference time-domain method for Maxwell's equations. Based on the staggered grids, the …

In this paper, some stable and efficient numerical methods are developed for two-
dimensional Maxwell equations. To avoid solving large scale algebraic equations, we use …

We present an efficient and accurate energy-conserving implicit particle-in-cell (PIC)
algorithm for the electrostatic Vlasov system, with particular emphasis on its high robustness …

In this work, a high-efficient and accurate pure meshless method is designated as splitting
step reduced-dimension finite pointset method, which is first proposed to solve the time …

The convergence of various operator splitting procedures, such as the sequential, the Strang
and the weighted splitting, is investigated in the presence of a spatial approximation. To this …

An efficient Krylov subspace algorithm for computing actions of the $\varphi $ matrix function
for large matrices is proposed. This matrix function is widely used in exponential time …

In this paper, the energy-conserved splitting Legendre Galerkin method and energy-
conserved splitting Legendre collocation method for Maxwell's equations in two dimensions …

In this work operator splitting techniques have been applied successfully to improve the
accuracy of multi-scale Lithium-ion (Li-ion) battery models. A slightly simplified Li-ion battery …