Time solvers of the Non Linear Schrödinger Equation (NLSE)


  1. The Non Linear Schrödinger Equation
  2. The Lowest Eigenvalues and Eigenvectors Problem of NLSE
  3. A totally implicit time step method
  4. A semi-implicit time step method
  5. A variational form of a semi-implicit time step method
  6. A Lagrange finite element method of a semi-implicit time step method
  7. Algorithm 1: A semi-implicit time step method
  8. Algorithm 2: A modified semi-implicit time step method
  9. Test1 on a square [-1,1]2 with a polynomial exact wave solution
  10. Test2 on a square [-1,1]2 with a polynomial and cosine exact wave solution
  11. Test3 on a cube [-1,1]3 with a polynomial exact wave solution
  12. Test4 CYLBREAK2D on a square [-12,12]2
  13. Test5 of a Quintic NLSE on a sphere of radius 20
  14. Test6 of NLSE eigenvector stability on a cube [-1,1]3
  15. Test7 of Gross-Pitaevskii Equation viewed as a Nonlinear Schrodinger equation on a square [-7,7]2
  16. Conclusions of tests

Alain Perronnet     2015/09/09