A positivity preserving iterative method for finding the ground states of saturable nonlinear Schrödinger equations
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Publication:2199688
DOI10.1007/s10915-020-01297-8OpenAlexW3080230953MaRDI QIDQ2199688
Publication date: 14 September 2020
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.04644
\(M\)-matrixquadratic convergenceSchrödinger equationsground statespositivity preservingsaturable nonlinearity
Related Items
Newton--Noda Iteration for Computing the Ground States of Nonlinear Schrödinger Equations, Linear barycentric rational method for solving Schrödinger equation, Newton-based methods for finding the positive ground state of Gross-Pitaevskii equations, Monotone convergence of Newton-like iteration for a structured nonlinear eigen-problem
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Cites Work
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- Thresholds for breather solutions of the discrete nonlinear Schrödinger equation with saturable and power nonlinearity
- Discrete soliton collisions in a waveguide array with saturable nonlinearity
- Orbital stability of standing waves for some nonlinear Schrödinger equations
- On a class of nonlinear Schrödinger equations
- On the convergence of interior-reflective Newton methods for nonlinear minimization subject to bounds
- A regularized Newton method for computing ground states of Bose-Einstein condensates
- Ground-state solution of Bose--Einstein condensate by directly minimizing the energy functional
- Weakly coupled nonlinear Schrödinger systems: the saturation effect
- Orbital stability and energy estimate of ground states of saturable nonlinear Schrödinger equations with intensity functions in \(\mathbb{R}^2\)
- Newton-noda iteration for finding the Perron pair of a weakly irreducible nonnegative tensor
- Note on the computation of the maximal eigenvalue of a non-negative irreducible matrix
- Global existence and compact attractors for the discrete nonlinear Schrödinger equation
- A Positivity Preserving Inverse Iteration for Finding the Perron Pair of an Irreducible Nonnegative Third Order Tensor
- Matrix Analysis
- Attractors and dimensions for discretizations of a weakly damped Schrödinger equation and a Sine-Gorden equation
- An Explicit Unconditionally Stable Numerical Method for Solving Damped Nonlinear Schrödinger Equations with a Focusing Nonlinearity
- Computing the Ground State Solution of Bose--Einstein Condensates by a Normalized Gradient Flow
- An Interior Trust Region Approach for Nonlinear Minimization Subject to Bounds
