EIGENFORM ERROR-ESTIMATES OF COMPUTATIONAL MATERIAL DYNAMICS WITH SHOCKS .1.1. HOOKE LAW MATERIALS

Authors
HICKS DL LIEBROCK LM WEN Y
Citation
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
Citations number
18
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied mathematics and computation → ACNP
ISSN journal
00963003
Volume
66
Issue
2-3
Year of publication
1994
Pages
181 - 216
Database
ISI
SICI code
0096-3003(1994)66:2-3<181:EEOCMD>2.0.ZU;2-7
Abstract
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.