activity
20072014
most citedA High-Order Numerical Method for the Nonlinear Helmholtz Equation in Multidimensional Layered Media

29 citations · 75 across the 5 of their papers we have counts for

collaborators

5 papers

stat.ML2014★ 1 cited

A Ternary Non-Commutative Latent Factor Model for Scalable Three-Way Real Tensor Completion

Guy Baruch

Motivated by large-scale Collaborative-Filtering applications, we present a Non-Commuting Latent Factor (NCLF) tensor-completion approach for modeling three-way arrays, which is di…

math.AP2009

Singular solutions of the biharmonic Nonlinear Schrodinger equation

G. Baruch, G. Fibich, E. Mandelbaum

We consider singular solutions of the biharmonic NLS. In the L^2-critical case, the blowup rate is bounded by a quartic-root power law, the solution approaches a self-similar profi…

math.AP2009★ 19 cited

Singular standing-ring solutions of nonlinear partial differential equations

Guy Baruch, Gadi Fibich, Nir Gavish

We present a general framework for constructing singular solutions of nonlinear evolution equations that become singular on a d-dimensional sphere, where d>1. The asymptotic profil…

math-ph2009★ 29 cited

A High-Order Numerical Method for the Nonlinear Helmholtz Equation in Multidimensional Layered Media

Guy Baruch, Gadi Fibich, Semyon V. Tsynkov

We present a novel computational methodology for solving the scalar nonlinear Helmholtz equation (NLH) that governs the propagation of laser light in Kerr dielectrics. The methodol…

math-ph2007★ 26 cited

High-order numerical method for the nonlinear Helmholtz equation with material discontinuities in one space dimension

Guy Baruch, Gadi Fibich, Semyon V. Tsynkov

The nonlinear Helmholtz equation (NLH) models the propagation of electromagnetic waves in Kerr media, and describes a range of important phenomena in nonlinear optics and in other…