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 ...
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 ...
Consider a scalar, nonlinear conservative difference scheme satisfying the entropy condition. It is shown that difference schemes containing more numerical viscosity will necessarily converge to the ...
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