250 citations · 1.1k across the 130 of their papers we have counts for
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math.AP2014
Mathematical Validity of the f(R) Theory of Modified Gravity
Philippe G. LeFloch, Yue Ma
We establish a well-posedness theory for the f(R) theory of modified gravity, which is a generalization of Einstein's theory of gravitation. The scalar curvature R of the spacetime…
math.AP2014★ 2 cited
The hyperboloidal foliation method
Philippe G. LeFloch, Yue Ma
The Hyperboloidal Foliation Method presented in this monograph is based on a (3+1)-foliation of Minkowski spacetime by hyperboloidal hypersurfaces. It allows us to establish global…
math.AP2014★ 10 cited
Revisiting the method of characteristics via a convex hull algorithm
Philippe G. LeFloch, Jean-Marc Mercier
We revisit the method of characteristics for shock wave solutions to nonlinear hyperbolic problems and we describe a novel numerical algorithm - the convex hull algorithm (CHA) - i…