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Three-Dimensional Nonlinear Lattices: From Oblique Vortices and Octupoles to Discrete Diamonds and Vortex Cubes
Topology discrete nonlinear schrodinger equation condensate light lattice crystal
2014/12/25
We construct a variety of novel localized topological structures in the 3D discrete nonlinear Schrödinger equation. The states can be created in Bose-Einstein condensates trapped in strong optica...
Approximation of solutions of SDE's with oblique reflection on an orthant
Approximation of solutions SDE oblique reflection an orthant
2009/9/21
We'consider the discrete penalization scheme, the projection
and the Euler-Peano scheme for SDE's driven by general semimartingale
on an orthant with oblique reflection. We prove that these
schemes...