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 ...

Quantum computing is not just another technological advancement—it’s a complete shift in the way we think about solving ...

The method uses approximate prolate spheroidal wave functions and ... to construct a system of equations that can be solved by marching on in time. Numerical results show that the proposed method is ...

At Utah State University, researchers are using a radical idea known as the holographic principle to bridge the gap. By ...

Researchers have mathematically elucidated how the presence of crystals and gas bubbles in magma affects the propagation of seismic P-waves. A novel equation was derived to describe the travel of ...

Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, P. R. China Center for Nonlinear Science Studies, Kunming University of Science and ...

School of Mathematical Sciences, Huaqiao University, Quanzhou, Fujian 362021, P. R. China Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang ...