Without Dissipation SIAM Journal on Scientific Computing Volume 19, Number 5 pp. Linear Bicharacteristic Schemes Without Dissipation Philip Roe Abstract. This paper is concerned with developing methods for the propagation of linear waves in several space dimensions. The methods are time reversible and hence are free from numerical dissipation. They are based on bicharacteristic forms of the governing equations and are made possible by adopting forms of staggered storage that depend on the precise equations under consideration.
Analysis is presented for the equations of acoustics, electromagnetics, and elastodynamics.
76Q05, 78A08 PII .