Crank–Nicolson Fourier spectral methods for the space fractional nonlinear Schrödinger equation and its parameter estimation

Analysis and Approximation of a Fractional Cahn--Hilliard Equation

(2017) Mark Ainsworth et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Mass-conservative Fourier spectral methods for solving the fractional nonlinear Schrödinger equation

(2016) Siwei Duo et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

A unified difference-spectral method for time–space fractional diffusion equations

(2016) Jianfei Huang et al.   INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

Kalman state filtering based least squares iterative parameter estimation for observer canonical state space systems using decomposition

(2016) Feng Ding et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

On the ground states and dynamics of space fractional nonlinear Schrödinger/Gross–Pitaevskii equations with rotation term and nonlocal nonlinear interactions

(2016) Xavier Antoine et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Parameter estimation for the fractional Schrödinger equation using Bayesian method

(2016) Hui Zhang et al.   JOURNAL OF MATHEMATICAL PHYSICS

Galerkin finite element method for nonlinear fractional Schrödinger equations

(2016) Meng Li et al.   NUMERICAL ALGORITHMS

Fractional Schrödinger dynamics and decoherence

(2016) Kay Kirkpatrick et al.   PHYSICA D-NONLINEAR PHENOMENA

Fast Finite Difference Approximation for Identifying Parameters in a Two-dimensional Space-fractional Nonlocal Model with Variable Diffusivity Coefficients

(2016) S. Chen et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

A semi-alternating direction method for a 2-D fractional FitzHugh–Nagumo monodomain model on an approximate irregular domain

(2015) F. Liu et al.   JOURNAL OF COMPUTATIONAL PHYSICS

An inverse problem for the Schrödinger equation with variable coefficients and lower order terms

(2015) Li Deng   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Finite difference method for time-space-fractional Schrödinger equation

(2014) Qun Liu et al.   INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

A Crank--Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation

(2014) Fanhai Zeng et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Crank–Nicolson difference scheme for the coupled nonlinear Schrödinger equations with the Riesz space fractional derivative

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

An inverse hyperbolic heat conduction problem in estimating surface heat flux of a living skin tissue

(2012) Haw-Long Lee et al.   APPLIED MATHEMATICAL MODELLING

The spectral method for high order problems with proper simulations of asymptotic behaviors at infinity

(2012) Ben-yu Guo et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Exact solutions of fractional Schrödinger-like equation with a nonlocal term

(2011) Xiaoyun Jiang et al.   JOURNAL OF MATHEMATICAL PHYSICS

Fractional-time quantum dynamics

(2009) Alexander Iomin   PHYSICAL REVIEW E

A Bayesian statistics approach to multiscale coarse graining

(2008) Pu Liu et al.   JOURNAL OF CHEMICAL PHYSICS

Fractional-order viscoelasticity applied to describe uniaxial stress relaxation of human arteries

(2008) Damian Craiem et al.   PHYSICS IN MEDICINE AND BIOLOGY