“…One reason for this might be the increasing complexity of the resulting linear and nonlinear algebraic systems if the approximations are built upon higher order piecewise polynomials in time and space; cf., e.g., [11,15,16,25,35]. Since recently, they have been applied for the numerical simulation of problems of practical interest; cf., e.g., [1,2,3,12,15,19,26,27,35]. Here we restrict ourselves to considering a family of continuous Galerkin-Petrov (cGP) methods in time and continuous Galerkin (cG) methods in space for second-order hyperbolic equations (cGP-cG method).…”