Abstract: This paper proposes a novel non-iterative method to solve power system differential algebraic equations (DAEs) using the differential transformation, which is a mathematical tool able to ...

Abstract: A novel fully explicit vectorial time-domain algorithm for the analysis of photonic devices capable of solving Maxwell's equations with arbitrarily large time steps is presented. Furthermore ...

Final project @ Numerical Linear Algebra (数值代数) at Peking University. Consider the Stokes equations: $$-\Delta \vec{u} + \nabla p = \vec{F}, (x, y) \in (0,1 ...

Turbulence is a complex flow phenomenon characterized by chaotic multiscale interactions which can be accurately modeled using direct numerical simulations (DNS). However, DNS is computationally ...