We analyze a heuristic numerical method suggested by V.I. Petviashvili in 1976 for approximation of stationary solutions of nonlinear wave equations. The method is used to construct numerically the ...

We present a new method for solving the wave equation implicitly in one spatial dimension. Our approach is to discretize the wave equation in time, following the method of lines transpose, sometimes ...

A UB study characterizes two-dimensional wave patterns, such as the undular bores seen in a Chinese river, that move along ...

During 2024, onlookers observed a startling sight on China's Qiantang River: waves forming a grid-like pattern. Dubbed the "matrix tide," this complex wave pattern was caused by the river's famed ...