Dl. Hicks et al., EIGENFORM ERROR-ESTIMATES OF COMPUTATIONAL MATERIAL DYNAMICS WITH SHOCKS .1.1. HOOKE LAW MATERIALS, Applied mathematics and computation, 66(2-3), 1994, pp. 181-216
Eigenform error estimates are sharper than previous a priori error bou
nds for the von Neumann-Richtmyer (vNR) scheme. Theoretical results gi
ve insight into the experimental results on the test problems which in
clude shocks. The vNR-RK4 scheme, a Runge-Kutta modification of the or
iginal vNR, is not only more accurate than the original vNR but also t
he eigenform error estimates are more accurate for vNR-RK4.