Comparing time integrators for parabolic equations in two space dimensions with a mixed derivative

AbstractA numerical comparison is made between three integration methods for semi-discrete parabolic partial differential equations in two space variables with a mixed derivative. Linear as well as non-linear equations are considered. The integration methods are the well-known one-step line hopscotch method, a four-step line hopscotch method, and a stabilized, explicit Runge-Kutta method