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math.AP2013
Numerical methods with controlled dissipation for small-scale dependent shocks
Philippe G. LeFloch, Siddhartha Mishra
We provide a `user guide' to the literature of the past twenty years concerning the modeling and approximation of discontinuous solutions to nonlinear hyperbolic systems that admit…
math.AP2013
The equations of elastostatics in a Riemannian manifold
Nastasia Grubic, Philippe G. LeFloch, Cristinel Mardare
To begin with, we identify the equations of elastostatics in a Riemannian manifold, which generalize those of classical elasticity in the three-dimensional Euclidean space. Our app…