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 ...
In science, most breakthroughs cannot be derived from known physical laws: they are based on inspired conjectures 2. Comparison with experiment of the predictions based on such a hypothesis allows us ...