A necessary and sufficient condition is given for all hyperoblic difference schemes that use up to nine mesh points to be of second-order accuracy. We also construct a new difference scheme for ...

Abstract. For a two–dimensional time nonlinear hyperbolic equation with a power nonlinearity, a threshold exponent depending on the space dimension is presented. Furthermore, the analysis is extended ...

Tessellations aren’t just eye-catching patterns—they can be used to crack complex mathematical problems. By repeatedly ...