E. Fatemi et al., NUMERICAL-SOLUTION OF THE HIGH-FREQUENCY ASYMPTOTIC-EXPANSION FOR THESCALAR WAVE-EQUATION, Journal of computational physics, 120(1), 1995, pp. 145-155
New numerical methods are derived for calculation of high frequency as
ymptotic expansion of the scalar wave equation. The nonlinear partial
differential equations defining the terms in the expansion are approxi
mated directly rather than via ray tracing, High resolution numerical
algorithms are used to handle discontinuities and new devices are intr
oduced to represent the multivalued character of the solution. (C) 199
5 Academic Press, Inc.