On accuracy and efficiency of the CESE-method of C. S. Chang for one-dimensional unstaedy flow computation

About twenty years ago a NASA-group around S. C. Chang began to develop a method using space-time domains as elements for unstaedy flow computation. There are two kinds of elements. One within which the linearized form of the underlying differential equation is satisfied and one whithin which space-time flux is conserved. Therefore the method is called conservation-element solution-element or shortly CESE. Applied to one-dimensional flow equations we show conditions under which the method in the version of Jerez et al. 1] is - second order accurate and - more efficient than Lax-Wendroff type methods. (© 2016 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)