134 citations · 770 across the 68 of their papers we have counts for
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math.AP2019★ 3 cited
Effective Rankine-Hugoniot conditions for shock waves in periodic media
David I. Ketcheson, Manuel Quezada de Luna
Solutions of first-order nonlinear hyperbolic conservation laws typically develop shocks in finite time even with smooth initial conditions. However, in heterogeneous media with ra…
math.AP2019
A path integral method for solution of the wave equation with continuously-varying coefficients
Jithin D. George, David I. Ketcheson, Randall J. LeVeque
A new method of solution is proposed for solution of the wave equation in one space dimension with continuously-varying coefficients. By considering all paths along which informati…