@article{CZi18,
author = {M. Caliari and F. Zivcovich},
title = {On-the-fly backward error estimate for matrix exponential approximation by {T}aylor algorithm},
year = {2018},
journal = {J. Comput. Appl. Math.},
note = {Accepted for publication}
}

@article{CKZ18,
author = {M. Caliari and P. Kandolf and F. Zivcovich},
title = {Backward error analysis of polynomial approximations for computing the action of the matrix exponential},
year = {2018},
journal = {BIT},
note = {Accepted for publication}
}

@article{CZ18,
author = {M. Caliari and S. Zuccher},
title = {Reliability of the time splitting {F}ourier method for singular solutions in quantum fluids},
journal = {Comput. Phys. Commun.},
year = {2018},
volume = {222},
pages = {46--58}
}

@article{CZ172,
author = {M. Caliari and S. Zuccher},
title = {{INFFTM}: {F}ast evaluation of 3d {F}ourier series in {MATLAB} with an application to quantum vortex reconnection},
journal = {Comput. Phys. Commun.},
year = {2017},
volume = {213},
pages = {197--207}
}

@article{COP17,
author = {M. Caliari and A. Ostermann and C. Piazzola},
journal = {J. Comput. Appl. Math.},
title = {A splitting approach for the magnetic {S}chr\"odinger equation},
year = {2017},
volume = {316},
pages = {74--85}
}

@ARTICLE{CZ17,
author = {M. Caliari and S. Zuccher},
title = {Quasi-{N}ewton minimization for the $p(x)$-{L}aplacian problem},
journal = {J. Comput. Appl. Math.},
volume = {309},
pages = {122--131},
year = {2017}
}

@ARTICLE{CKOR16,
author = {M. Caliari and P. Kandolf and A. Ostermann and S. Rainer},
title = {The {L}eja method revisited: {B}ackward error analysis for the matrix exponential},
year = {2016},
journal = {SIAM J. Sci. Comput.},
volume = {38},
number = {3},
pages = {A1639--A1661}
}

@article{BC15,
author = {Bos, L. P. and M. Caliari},
journal = {Dolomites Res. Notes Approx.},
pages = {66--74},
title = {Application of modified {L}eja sequences to polynomial interpolation},
volume = {8},
year = {2015},
}

@ARTICLE{ZCBB12,
author = {S. Zuccher and M. Caliari and Baggaley, A. W. and Barenghi, C. F.},
title = {Quantum vortex reconnections},
year = 2012,
journal = {Phys. Fluids},
volume = {24},
issue = {12},
number = {125108},
}

@ARTICLE{CS12,
author = {M. Caliari and M. Squassina},
title = {On a bifurcation value related to quasi-linear {S}chr\"odinger equations},
year = {2012},
journal = {J. Fix. Point Theory Appl.},
volume = {12},
number = {1--2},
pages = {121--133}
}

@ARTICLE{COR11,
author = {M. Caliari and A. Ostermann and S. Rainer},
title = {Meshfree integrators},
year = 2011,
journal = {Oberwolfach Reports},
volume = 8,
number = 1,
pages = {883--885}
}

@ARTICLE{COR13S,
author = {M. Caliari and A. Ostermann and S. Rainer},
title = {Meshfree exponential integrators},
year = 2013,
journal = {SIAM J. Sci. Comput.},
volume = 35,
number = 1,
pages = {A431--A452}
}

@INPROCEEDINGS{COR13,
author = {M. Caliari and A. Ostermann and S. Rainer},
title = {A {M}eshfree splitting method for soliton dynamics in nonlinear {S}chr\"odinger equations},
journal = {Lect. Notes Comput. Sci. Eng.},
year = 2013,
booktitle = {Meshfree Methods for Partial Differential Equations VI},
series = {Lect. Notes Comput. Sci. Eng.},
editor = {M. Griebel and M. A. Schweitzer},
volume = 89,
publisher = {Springer},
pages = {127--139}
}

@ARTICLE{CS10,
author = {M. Caliari and M. Squassina},
title = {Numerical computation of soliton dynamics for {NLS} equations in a driving potential},
journal = {Electron. J. Diff. Eqns.},
volume = 89,
pages = {1--12},
year = 2010
}

@ARTICLE{CDMSV11,
author = {M. Caliari and De Marchi, S. and A. Sommariva and M. Vianello},
title = {{Padua2DM}: fast interpolation and cubature at the {P}adua points in {M}atlab/{O}ctave},
journal = {Numer. Algorithms},
volume = 56,
number = 1,
pages = {45--60},
year = 2011
}

@ARTICLE{BCV03,
author = {L. Bergamaschi and M. Caliari and M. Vianello},
title = {Efficient approximation of the exponential operator for discrete {2D} advection-diffusion problems},
journal = {Numer. Linear Algebra Appl.},
volume = 10,
number = 3,
pages = {271--289},
year = 2003
}

@ARTICLE{CVB04,
author = {M. Caliari and M. Vianello and L. Bergamaschi},
title = {Interpolating discrete advection-diffusion propagators at {L}eja sequences},
journal = {J. Comput. Appl. Math.},
volume = 172,
number = 1,
pages = {79--99},
year = 2004
}

@INPROCEEDINGS{BCV04,
author = {L. Bergamaschi and M. Caliari and M. Vianello},
title = {The {ReLPM} exponential integrator for {FE} discretizations of advection-diffusion equations},
booktitle = {Computational Science --- ICCS 2004},
series = {Lecture Notes in Comput. Sci.},
volume = 3039,
editor = {Bubak, M. and Albada, G. D. v. and Sloot, P. M. A. and J. Dongarra},
pages = {434--442},
note = {4th International Conference, Krak\'ow, Poland, June 6--9, 2004, Proceedings, Part IV},
publisher = {Springer},
address = {Berlin/Heidelberg},
year = 2004
} 5~5~

@ARTICLE{CIM04,
author = {M. Caliari and G. Inverso and Morato, L. M.},
title = {Dissipation caused by a vorticity field and generation of singularities in {M}adelung fluid},
journal = {New J. Phys.},
volume = 6,
number = 69,
year = 2004
}

@ARTICLE{CDMV05,
author = {M. Caliari and De Marchi, S. and M. Vianello},
title = {Bivariate polynomial interpolation on the square at new nodal sets},
journal = {Appl. Math. Comput.},
volume = 165,
number = 2,
pages = {261--274},
year = 2005
}

@INPROCEEDINGS{BCMV05,
author = {L. Bergamaschi and M. Caliari and A. Mart\'\i{}nez and M. Vianello},
title = {A parallel exponential integrator for large-scale discretizations of advection-diffusion models},
booktitle = {Recent Advances in Parallel Virtual Machine and Message Passing Interface},
series = {Lecture Notes in Comput. Sci.},
volume = 3666,
editor = {Di Martino, B. and D. Kranzlm\"uller and J. Dongarra},
pages = {483--492},
note = {12th European PVM/MPI Users' Group Meeting Sorrento, Italy, September 18--21, 2005. Proceedings},
publisher = {Springer},
address = {Berlin/Heidelberg},
year = 2005
}

@INPROCEEDINGS{BCMV06,
author = {L. Bergamaschi and M. Caliari and A. Mart\'\i{}nez and M. Vianello},
title = {Comparing {L}eja and {K}rylov approximations of large scale matrix exponentials},
booktitle = {Computational Science --- ICCS 2006},
series = {Lecture Notes in Comput. Sci.},
note = {6th International Conference, Reading, UK, May 28--31, 2006, Proceedings, Part IV},
volume = 3994,
editor = {Alexandrov, V. N. and van Albada, G. D. and Sloot, P. M. A. and J. Dongarra},
pages = {685--692},
publisher = {Springer},
address = {Berlin/Heidelberg},
year = 2006
}

@ARTICLE{BCDMV06C,
author = {L. Bos and M. Caliari and De Marchi, S. and M. Vianello},
title = {A numerical study of the {X}u interpolation formula in two variables},
journal = {Computing},
volume = 76,
number = {3--4},
pages = {311--324},
year = 2006
}

@ARTICLE{BCDMV06E,
author = {L. Bos and M. Caliari and De Marchi, S. and M. Vianello},
title = {Bivariate interpolation at {X}u points: results, extensions and applications},
journal = {Electron. Trans. Numer. Anal.},
volume = 25,
pages = {1--16},
year = 2006
}

@ARTICLE{CVB07,
author = {M. Caliari and M. Vianello and L. Bergamaschi},
title = {The {LEM} exponential integrator for advection-diffusion-reaction equations},
journal = {J. Comput. Appl. Math.},
note = {Proc. of Numerical Analysis: the State of the Art (NAC2005), Rende (CS), Italy, May 19--21, 2005},
volume = 210,
number = {1--2},
pages = {56--63},
year = 2007
}

@ARTICLE{BCDMVX06,
author = {L. Bos and M. Caliari and De Marchi, S. and M. Vianello and Y. Xu},
title = {Bivariate {L}agrange interpolation at the {P}adua points: the generating curve approach},
journal = {J. Approx. Theory},
volume = 143,
number = 1,
pages = {15--25},
year = 2006
}

@ARTICLE{CVDMM06,
author = {M. Caliari and M. Vianello and De Marchi, S. and R. Montagna},
title = {{HYPER2D}: a numerical code for hyperinterpolation at {X}u points on rectangles},
journal = {Appl. Math. Comp.},
volume = 183,
number = 2,
pages = {1138--1147},
year = 2006
}

@ARTICLE{CDMV07,
author = {M. Caliari and De Marchi, S. and M. Vianello},
title = {Hyperinterpolation on the square},
journal = {J. Comput. Appl. Math.},
note = {Proc. of Numerical Analysis: the State of the Art (NAC2005), Rende (CS), Italy, May 19--21, 2005},
volume = 210,
number = {1--2},
pages = {78--83},
year = 2007
}

@ARTICLE{C07,
author = {M. Caliari},
title = {Accurate evaluation of divided differences for polynomial interpolation of exponential propagators},
journal = {Computing},
volume = 80,
number = 2,
pages = {189--201},
year = 2007
}

@ARTICLE{MBCV09,
author = {A. Mart\'\i{}nez and L. Bergamaschi and M. Caliari and M. Vianello},
title = {A massively parallel exponential integrator for advection-diffusion models},
journal = {J. Comput. Appl. Math.},
volume = 231,
number = 1,
pages = {82--91},
year = 2009
}

@ARTICLE{CVDM08,
author = {M. Caliari and De Marchi, S. and M. Vianello},
title = {Algorithm 886: {Padua2D}: {L}agrange {I}nterpolation at {P}adua {P}oints on {B}ivariate {D}omains},
journal = {ACM Trans. Math. Software},
volume = 35,
number = 3,
pages = {21:1--21:11},
year = 2008
}

@ARTICLE{CDMV08JCAM,
author = {M. Caliari and De Marchi, S. and M. Vianello},
title = {Bivariate {L}agrange interpolation at the {P}adua points: {C}omputational aspects},
journal = {J. Comput. Appl. Math.},
volume = 221,
number = 2,
pages = {284--292},
year = 2008
}

@ARTICLE{CDMV08,
author = {M. Caliari and De Marchi, S. and M. Vianello},
title = {Hyperinterpolation in the cube},
journal = {Comp. Math. Appl.},
volume = 55,
number = 11,
pages = {2490--2497},
year = 2008
}

@ARTICLE{CO09,
author = {M. Caliari and A. Ostermann},
title = {Implementation of exponential {R}osen\-brock-type methods},
journal = {Appl. Numer. Math.},
volume = 59,
number = {3--4},
pages = {568--581},
year = 2009
}

@MISC{CO07B,
author = {M. Caliari and A. Ostermann},
title = {Exponential integrators for linear advection and wave equations},
note = {in preparation},
year = 2007
}

@ARTICLE{CS08,
author = {M. Caliari and M. Squassina},
title = {Location and phase segregation of ground and excited states for {2D} {G}ross--{P}itaevskii systems},
journal = {Dyn. Partial Differ. Equ.},
pages = {117--137},
volume = 5,
number = 2,
year = 2008
}

@ARTICLE{CS082,
author = {M. Caliari and M. Squassina},
title = {Spatial patterns for the three species {G}ross--{P}itaevskii system in the plane},
journal = {Electron. J. Diff. Eqns.},
volume = 2008,
number = 79,
pages = {1--15},
year = 2008
}

@MISC{CKT07,
author = {M. Caliari and G. Kirchner and M. Thalhammer},
title = {Convergence and energy conservation of the {S}trang time-splitting {H}ermite spectral method for nonlinear {S}chr\"odinger equations},
note = {submitted},
year = 2007
}

@ARTICLE{CORT09,
author = {M. Caliari and A. Ostermann and S. Rainer and M. Thalhammer},
title = {A minimisation approach for computing the ground state of {G}ross--{P}itaevskii systems},
journal = {J. Comput. Phys.},
volume = 228,
number = 2,
pages = {349--360},
year = 2009
}

@ARTICLE{CNT09,
author = {M. Thalhammer and M. Caliari and Ch. Neuhauser},
title = {High-order time-splitting {H}ermite and {F}ourier spectral methods for the {G}ross--{P}itaevskii equation},
journal = {J. Comput. Phys.},
volume = 228,
number = 3,
pages = {822--832},
year = 2009
}

@ARTICLE{CLMZ08,
author = {M. Caliari and Loffredo, M. I. and Morato, L. M. and S. Zuccher},
title = {Cubic Nonlinear {S}chr\"odinger Equation with vorticity},
journal = {New J. Phys.},
volume = 10,
number = 123020,
year = 2008
}

@ARTICLE{CR13,
author = {M. Caliari and S. Rainer},
title = {{GSGPEs}: a {MATLAB} code for computing the ground state of systems of {G}ross--{P}itaevskii equations},
journal = {Comput. Phys. Commun.},
volume = 184,
number = 3,
pages = {812--823},
year = {2013}
}

@ARTICLE{BCS13,
author = {M. Bellomi and M. Caliari and M. Squassina},
title = {Computing the first eigenpar for problems with variable exponents},
year = {2013},
journal = {J. Fix. Point Theory Appl.},
volume = {13},
number = {2},
pages = {561--570}
}

@ARTICLE{CKOR14,
author = {M. Caliari and P. Kandolf and A. Ostermann and S. Rainer},
title = {Comparison of software for computing the action of the matrix exponential},
year = {2014},
journal = {BIT},
volume = 54,
number = 1,
pages = {113--128},
doi = {10.1007/s10543-013-0446-0}
}

@ARTICLE{AZCPPB14,
author = {Allen, A. J. and S. Zuccher and M. Caliari and Proukakis, N. P. and Parker, N. G. and Barenghi, C. F. },
title = {Vortex reconnections in atomic condensates at finite temperature},
journal = {Phys. Rev. A},
volume = {90},
pages = {013601},
year = {2014}
}

@ARTICLE{CZ15,
author = {M. Caliari and S. Zuccher},
title = {The inverse power method for the $p(x)$-{L}aplacian problem},
journal = {J. Sci. Comput.},
volume = {65},
number = {2},
pages = {698--714},
year = {2015} }