Abstract: The vector parabolic equation has been widely used to model radio wave propagation in tunnels. For its numerical solution, the Crank-Nicolson as well as the Alternating Direction Implicit ...

This book is an introduction to the general theory of second order parabolic differential equations, which model many important, time-dependent physical systems. It studies the existence, uniqueness, ...

Abstract: This article presents three-phase arc equations based on the general arc equation with the assumption of the Cassie model. A new set of arc equations is developed, which considers the three ...

We investigate an advanced 3D parabolic equation (3DPE) framework that synergistically integrates anisotropic refractive profiles with seasurface roughness characterization. An even-odd splitting ...

School of Mathematics, Southeast University, Dongnandaxue Road 2, Nanjing 211189, Jiangsu, P. R. China ...