On the accuracy of Glimm's scheme

Peter D. Lax
2000 Methods and Applications of Analysis  
Glimm's random choice scheme constructs with probability close to 1 an approximate solution of an initial value problem for a hyperbolic system of conservation laws. This note describes an estimate for the probability of error that is much sharper than the one given by Glimm. A nontechnical discussion of this circle of ideas is given in [8] by Cathleen Morawetz, to whom this paper is affectionately dedicated.
doi:10.4310/maa.2000.v7.n3.a4 fatcat:humfngqgrvhinlovrkjlfg4nmy