Weighted non-oscillatory (WENO) methods for solving hyperbolic conservation laws

In this book we present some WENO schemes for solving hyperbolic conservation laws in one and two dimensions scalar and vector problems. WENO methods give very high accuracy results and non-oscillatory profiles. Here we give fifth seventh and ninth order methods. Also we proposed the seventh order Hermite WENO method. We use also Runge-Kutta methods for time integration. The presented different schemes are superior to the other classical WENO schemes.