This study presents an energy preserving partially implicit scheme for the simulation of wave
propagation in homogeneous and heterogeneous mediums. Despite its implicit nature, the …

In this paper, we have developed new hybrid compact schemes for the simulation of stream
function–velocity formulation of a two-dimensional incompressible Navier–Stokes equation …

This paper discusses a new class of optimized implicit-explicit Runge-Kutta methods for the
numerical solution of the dispersive and non-dispersive hyperbolic systems. Optimized …

The stabilisation of the leapfrog time‐stepping scheme provided by the Robert–Asselin filter
has enabled decades of atmospheric and oceanic research and weather and climate …

解析四维集合变分数据同化方法是一种无需伴随的, 完全继承四维变分非线性处理能力的,“流
依赖” 的非顺序数据同化方法. 本研究基于解析四维集合变分, 开展全球正压谱模式初始场优化 …

This paper discusses the formulation of a class of hybrid compact schemes for structured
irregular meshes. First, we derived three-and five-point compact schemes with required …

Abstract The Analytical Four Dimensional Ensemble Variational is a “flow-dependent” and
non-sequential data assimilation method without adjoint models and completely inherits the …