American Journal of Mathematics, Vol. 133, No. 1 (February 2011), pp. 91-130 (40 pages) We derive rigorously, for both ℝ² and [−L, L] ×2 , the cubic nonlinear Schrödinger equation in a suitable ...
ABSTRACT. We present a comparison among the performance of solvers based on Nyström discretizations of several well-posed boundary integral equation formulations of Helmholtz transmission problems in ...
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