Asymptotics of a discretediscontinuity profile in the computation of shock waves by difference schemes
Abstract
The paper examines a class of monotonic difference schemes represented in a conservative form and approximating a quasilinear hyperbolic differential equation. Necessary and sufficient conditions are formulated under which the numerical solution obtained in shockwave computation converges in a strong norm at t approaching infinity to a certain limit function. This latter function is monotonic, and satisfies a nonlinear functional equation and prescribed conditions on +,  infinity. The rate of convergence of the numerical solution to the limit one is estimated.
 Publication:

IN: Current problems in mathematical physics and computational mathematics (A8613676 0364). Moscow
 Pub Date:
 1984
 Bibcode:
 1984cpmp.book...22B
 Keywords:

 Asymptotic Methods;
 Computational Fluid Dynamics;
 Discrete Functions;
 Finite Difference Theory;
 Shock Discontinuity;
 Shock Waves;
 Convergence;
 Difference Equations;
 Hyperbolic Differential Equations;
 Limits (Mathematics);
 Monotone Functions;
 Fluid Mechanics and Heat Transfer