Conservative Finite-Difference Schemes for Two Nonlinear Schrödinger Equations Describing Frequency Tripling in a Medium with Cubic Nonlinearity: Competition of Invariants

Energy-conserving methods for the nonlinear Schrödinger equation

(2018) L. Barletti et al.   APPLIED MATHEMATICS AND COMPUTATION

Theory of SHG in a medium with combined nonlinear response

(2018) Vyacheslav A. Trofimov et al.   JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS

Third harmonic generation microscopy of cells and tissue organization

(2016) Bettina Weigelin et al.   JOURNAL OF CELL SCIENCE

Efficiency of exponential time differencing schemes for nonlinear Schrödinger equations

(2016) M. Hederi et al.   MATHEMATICS AND COMPUTERS IN SIMULATION

Enhanced Third Harmonic Generation in Single Germanium Nanodisks Excited at the Anapole Mode

(2016) Gustavo Grinblat et al.   NANO LETTERS

Instability of the finite-difference split-step method applied to the generalized nonlinear Schrödinger equation. III. external potential and oscillating pulse solutions

(2016) Taras I. Lakoba   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Phase-matched third-harmonic generation via doubly resonant optical surface modes in 1D photonic crystals

(2016) Valery N Konopsky et al.   Light-Science & Applications

A linearly implicit conservative difference scheme for the space fractional coupled nonlinear Schrödinger equations

(2014) Dongling Wang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Probing the Quantum Tunneling Limit of Plasmonic Enhancement by Third Harmonic Generation

(2014) Ghazal Hajisalem et al.   NANO LETTERS

Quantum theory of third-harmonic generation in graphene

(2014) S. A. Mikhailov   PHYSICAL REVIEW B

Numerical stability of explicit Runge–Kutta finite-difference schemes for the nonlinear Schrödinger equation

(2013) R.M. Caplan et al.   APPLIED NUMERICAL MATHEMATICS

A generalized finite-difference time-domain scheme for solving nonlinear Schrödinger equations

(2013) Frederick Ira Moxley et al.   COMPUTER PHYSICS COMMUNICATIONS

A two-step high-order compact scheme for the Laplacian operator and its implementation in an explicit method for integrating the nonlinear Schrödinger equation

(2013) R.M. Caplan et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Fourth-order compact and energy conservative difference schemes for the nonlinear Schrödinger equation in two dimensions

(2013) Tingchun Wang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Numerical second- and third-harmonic generation microscopy

(2013) Daaf Sandkuijl et al.   JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS

Order of Convergence of Splitting Schemes for Both Deterministic and Stochastic Nonlinear Schrödinger Equations

(2013) Jie Liu   SIAM JOURNAL ON NUMERICAL ANALYSIS

Fourth-order alternating direction implicit compact finite difference schemes for two-dimensional Schrödinger equations

(2010) Zhen Gao et al.   APPLIED NUMERICAL MATHEMATICS

Third-order nonlinear optical properties of a π-conjugated biradical molecule investigated by third-harmonic generation spectroscopy

(2010) Hideo Kishida et al.   THIN SOLID FILMS

New conservative difference schemes for a coupled nonlinear Schrödinger system

(2009) Tingchun Wang et al.   APPLIED MATHEMATICS AND COMPUTATION

A compact split-step finite difference method for solving the nonlinear Schrödinger equations with constant and variable coefficients

(2009) Mehdi Dehghan et al.   COMPUTER PHYSICS COMMUNICATIONS

Compact finite difference schemes with high accuracy for one-dimensional nonlinear Schrödinger equation

(2008) Shu-Sen Xie et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING