This paper shows that p-order metric regularity is preserved under perturbation of Hölder continuous mapping of order 1/p, which answers affirmatively a problem posed recently by Dontchev [2].

I describe the properties of a fourth-order accurate space, second-order accurate time two-dimensional P-Sk’ finite-difference scheme based on the MadariagaVirieux staggered-grid formulation. The numerical scheme is developed from the first-order system of hyperbolic elastic equations of motion and constitutive laws expressed in particle velocities and stresses. The Madariaga-Virieux staggered-...