"Eigenform error estimates of computational material dynamics with shoc" by D. L. Hicks, L. M. Liebrock et al.
 

Eigenform error estimates of computational material dynamics with shocks. 1.1. Hooke's law materials

Document Type

Article

Publication Date

12-1994

Department

Department of Mathematical Sciences

Abstract

Eigenform error estimates are sharper than previous a priori error bounds for the von Neumann-Richtmyer (vNR) scheme. Theoretical results give insight into the experimental results on the test problems which include shocks. The vNR-RK4 scheme, a Runge-Kutta modification of the original vNR, is not only more accurate than the original vNR but also the eigenform error estimates are more accurate for vNR-RK4.

Publication Title

Applied Mathematics and Computation

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