Mathematics of Computation, Vol. 31, No. 140 (Oct., 1977), pp. 848-872 (25 pages) A family of difference schemes solving the Cauchy problem for quasi-linear equations is studied. This family contains ...

Journal of Computational Mathematics, Vol. 35, No. 2 (March 2017), pp. 121-151 (31 pages) The Entropy-Ultra-Bee scheme was developed for the linear advection equation and extended to the Euler system ...

Shock waves should not be shocking—engineers across scientific fields need to be able to precisely predict how the instant and strong pressure changes initiate and dissipate to prevent damage. Now, ...