This open access book introduces the fundamentals of the space–time conservation element and solution element (CESE) method, which is a novel numerical approa

Without resorting to special treatment for each individual test case, the 1D and 2D CE/SE shock-capturing schemes described previously (in Part I) are used to s

A new high resolution and genuinely multidimensional numerical method for solving conservation laws is being, developed. It was designed to avoid the limitation