Nonlinear Schrödinger equations

• Reliability of the time splitting Fourier method for singular solutions in quantum fluids ,
  M. Caliari and S. Zuccher
  Comput. Phys. Commun. (2018)
  BibTeX entry: CZ18
  
  
• INFFTM: Fast evaluation of 3d Fourier series in MATLAB with an application to quantum vortex reconnections,
  M. Caliari and S. Zuccher
  Comput. Phys. Commun. (2017)
  BibTeX entry: CZ172
  
  
• A splitting approach for the magnetic Schrödinger equation,
  M. Caliari, A. Ostermann, and C. Piazzola
  J. Comput. Appl. Math. (2017)
  BibTeX entry: COP17
  
  
• Quasi-Newton minimization for the p(x)-Laplacian problem,
  M. Caliari and S. Zuccher
  J. Comput. Appl. Math. (2017)
  BibTeX entry: CZ17
  
  
• The inverse power method for the p(x)-Laplacian problem,
  M. Caliari and S. Zuccher
  J. Sci. Comput. (2015)
  BibTeX entry: CZ15
  
  
• Vortex reconnections in atomic condensates at finite temperature,
  A. J. Allen, S. Zuccher, M. Caliari, N. P. Proukakis, N. G. Parker, and C. F. Barenghi
  Phys. Rev. A. (2014)
  BibTeX entry: AZCPPB14
  
  
• Computing the first eigenpar for problems with variable exponents,
  M. Bellomi, M. Caliari, and M. Squassina
  J. Fix. Point Theory Appl. (2013)
  BibTeX entry: BCS13
  
  
• Quantum vortex reconnections,
  S. Zuccher, M. Caliari, A. W. Baggaley, and C. F. Barenghi
  Phys. Fluids. (2012)
  BibTeX entry: ZCBB12
  
  
• GSGPEs: a MATLAB code for computing the ground state of systems of Gross-Pitaevskii equations,
  M. Caliari and S. Rainer
  Comput. Phys. Commun. (2013)
  BibTeX entry: CR13
  
  
• On a bifurcation value related to quasi-linear Schrödinger equations,
  M. Caliari and M. Squassina
  J. Fix. Point Theory Appl. (2012)
  BibTeX entry: CS12
  
  
• Numerical computation of soliton dynamics for NLS equations in a driving potential,
  M. Caliari and M. Squassina
  Electron. J. Diff. Eqns. (2010)
  BibTeX entry: CS10
  
  
• Spectral methods for dissipative nonlinear Schrödinger equations,
  M. Caliari, L. M. Morato, and S. Zuccher;
  Research report of the Department of Computer Science (76/2009)
  
  
• Cubic Nonlinear Schrödinger Equation with vorticity,
  M. Caliari, M. I. Loffredo, L. M. Morato, and S. Zuccher;
  New J. Phys. (2008)
  BibTeX entry: CLMZ08
  
  
• High-order time-splitting Hermite and Fourier spectral methods for the Gross–Pitaevskii equation,
  M. Thalhammer, M. Caliari, and Ch. Neuhauser;
  J. Comput. Phys. (2009)
  BibTeX entry: CNT09
  
  
• A minimisation approach for computing the ground state of Gross–Pitaevskii systems,
  M. Caliari, A. Ostermann, S. Rainer, and M. Thalhammer;
  J. Comput. Phys. (2009)
  BibTeX entry: CORT09
  Related software: GSGPE
  
  
• Spatial patterns for the three species Gross–Pitaevskii system in the plane,
  M. Caliari and M. Squassina;
  Electron. J. Diff. Eqns. (2008)
  BibTeX entry: CS082
  
  
• Convergence and energy conservation of the Strang time-splitting Hermite spectral method for nonlinear Schrödinger equations,
  M. Caliari, G. Kirchner, and M. Thalhammer;
  Submitted (2007)
  BibTeX entry: CKT07
  
  
• Location and phase segregation of ground and excited states for 2D Gross–Pitaevskii systems,
  M. Caliari and M. Squassina;
  Dyn. Partial Differ. Equ. (2008)
  BibTeX entry: CS08
  
  
• Dissipation caused by a vorticity field and generation of sigularities in Madelung fluid,
  M. Caliari, G. Inverso, and L. M. Morato;
  New J. Phys. (2004)
  BibTeX entry: CIM04