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Time solvers of the Non Linear Schrödinger Equation (NLSE)

- The Non Linear Schrödinger Equation

- The Lowest Eigenvalues and Eigenvectors Problem of NLSE

- A totally implicit time step method

- A semi-implicit time step method

- A variational form of a semi-implicit time step method

- A Lagrange finite element method of
a semi-implicit time step method

- Algorithm 1: A semi-implicit time step method

- Algorithm 2: A modified semi-implicit time step method

- Test1 on a square [-1,1]
^{2} with a polynomial exact wave solution

- Test2 on a square [-1,1]
^{2} with a polynomial and cosine exact wave solution

- Test3 on a cube [-1,1]
^{3} with a polynomial exact wave solution

- Test4 CYLBREAK2D on a square [-12,12]
^{2}

- Test5 of a Quintic NLSE on a sphere of radius 20

- Test6 of NLSE eigenvector stability on a cube [-1,1]
^{3}

- Test7 of Gross-Pitaevskii Equation viewed as a Nonlinear Schrodinger equation on a square [-7,7]
^{2}

- Conclusions of tests

* Alain Perronnet 2015/09/09*