Marco Caliari

Publication Activity (10 Years)

Years Active: 2003-2024
Publications (10 Years): 23

Top Topics

Eikonal Equation

Optimal Control Problems

Top Venues

J. Comput. Appl. Math.

J. Comput. Phys.

Comput. Phys. Commun.

Publications

Marco Caliari, Fabio Cassini
A second order directional split exponential integrator for systems of advection-diffusion-reaction equations. J. Comput. Phys. 498 (2024)
Marco Caliari, Fabio Cassini
Efficient simulation of complex Ginzburg-Landau equations using high-order exponential-type methods. CoRR (2024)
Marco Caliari, Fabio Cassini, Lukas Einkemmer, Alexander Ostermann
Accelerating Exponential Integrators to Efficiently Solve Semilinear Advection-Diffusion-Reaction Equations. SIAM J. Sci. Comput. 46 (2) (2024)
Marco Caliari, Fabio Cassini, Franco Zivcovich
A μ-mode BLAS approach for multidimensional tensor-structured problems. Numer. Algorithms 92 (4) (2023)
Giacomo Albi, Marco Caliari, Elisa Calzola, Fabio Cassini
Exponential integrators for mean-field selective optimal control problems. CoRR (2023)
Fabio Cassini, Marco Caliari
Third order tensor-oriented directional splitting for exponential integrators. CoRR (2023)
Marco Caliari, Fabio Cassini
A second order directional split exponential integrator for systems of advection-diffusion-reaction equations. CoRR (2023)
Marco Caliari, Fabio Cassini
Direction splitting of φ-functions in exponential integrators for d-dimensional problems in Kronecker form. CoRR (2023)
Marco Caliari, Fabio Cassini, Franco Zivcovich
BAMPHI: Matrix-free and transpose-free action of linear combinations of φ-functions from exponential integrators. J. Comput. Appl. Math. 423 (2023)
Marco Caliari, Fabio Cassini, Lukas Einkemmer, Alexander Ostermann
Accelerating exponential integrators to efficiently solve advection-diffusion-reaction equations. CoRR (2023)
Marco Caliari, Fabio Cassini, Lukas Einkemmer, Alexander Ostermann, Franco Zivcovich
-mode integrator for solving evolution equations in Kronecker form. J. Comput. Phys. 455 (2022)
Marco Caliari, Fabio Cassini, Franco Zivcovich
A μ-mode approach for exponential integrators: actions of φ-functions of Kronecker sums. CoRR (2022)
Marco Caliari, Lukas Einkemmer, Alexander Moriggl, Alexander Ostermann
An accurate and time-parallel rational exponential integrator for hyperbolic and oscillatory PDEs. J. Comput. Phys. 437 (2021)
Marco Caliari, Fabio Cassini, Franco Zivcovich
A μ-mode BLAS approach for multidimensional tensor-structured problems. CoRR (2021)
Marco Caliari, Fabio Cassini, Lukas Einkemmer, Alexander Ostermann, Franco Zivcovich
A μ-mode integrator for solving evolution equations in Kronecker form. CoRR (2021)
Marco Caliari, Lukas Einkemmer, Alexander Moriggl, Alexander Ostermann
An accurate and time-parallel rational exponential integrator for hyperbolic and oscillatory PDEs. CoRR (2020)
Marco Caliari, Stefan Rainer
GSGPEs-v1.1: A MATLAB code for computing the ground state of systems of Gross-Pitaevskii equations. Comput. Phys. Commun. 247 (2020)
Marco Caliari, Franco Zivcovich
On-the-fly backward error estimate for matrix exponential approximation by Taylor algorithm. J. Comput. Appl. Math. 346 (2019)
Marco Caliari, Simone Zuccher
Reliability of the time splitting Fourier method for singular solutions in quantum fluids. Comput. Phys. Commun. 222 (2018)
Marco Caliari, Simone Zuccher
INFFTM: Fast evaluation of 3d Fourier series in MATLAB with an application to quantum vortex reconnections. Comput. Phys. Commun. 213 (2017)
Marco Caliari, Simone Zuccher
Quasi-Newton minimization for the p(x)-Laplacian problem. J. Comput. Appl. Math. 309 (2017)
Marco Caliari, Alexander Ostermann, Chiara Piazzola
A splitting approach for the magnetic Schrödinger equation. J. Comput. Appl. Math. 316 (2017)
Marco Caliari, Peter Kandolf, Alexander Ostermann, Stefan Rainer
The Leja Method Revisited: Backward Error Analysis for the Matrix Exponential. SIAM J. Sci. Comput. 38 (3) (2016)
Marco Caliari, Simone Zuccher
The Inverse Power Method for the p(x)-Laplacian Problem. J. Sci. Comput. 65 (2) (2015)
Marco Caliari, Stefan Rainer
GSGPEs: A MATLAB code for computing the ground state of systems of Gross-Pitaevskii equations. Comput. Phys. Commun. 184 (3) (2013)
Marco Caliari, Alexander Ostermann, Stefan Rainer
Meshfree Exponential Integrators. SIAM J. Sci. Comput. 35 (1) (2013)
Alessandro Sbuelz, Marco Caliari
Revisiting corporate growth options in the presence of state-dependent cashflow risk. Eur. J. Oper. Res. 220 (1) (2012)
Marco Caliari, Stefano De Marchi, Alvise Sommariva, Marco Vianello
Padua2DM: fast interpolation and cubature at the Padua points in Matlab/Octave. Numer. Algorithms 56 (1) (2011)
Angeles Martinez, Luca Bergamaschi, Marco Caliari, Marco Vianello
A massively parallel exponential integrator for advection-diffusion models. J. Comput. Appl. Math. 231 (1) (2009)
Mechthild Thalhammer, Marco Caliari, Christof Neuhauser
High-order time-splitting Hermite and Fourier spectral methods. J. Comput. Phys. 228 (3) (2009)
Marco Caliari, Alexander Ostermann, Stefan Rainer, Mechthild Thalhammer
A minimisation approach for computing the ground state of Gross-Pitaevskii systems. J. Comput. Phys. 228 (2) (2009)
Marco Caliari, Stefano De Marchi, Marco Vianello
Hyperinterpolation in the cube. Comput. Math. Appl. 55 (11) (2008)
Marco Caliari, Stefano De Marchi, Marco Vianello
Algorithm 886: Padua2D - Lagrange Interpolation at Padua Points on Bivariate Domains. ACM Trans. Math. Softw. 35 (3) (2008)
Marco Caliari
Accurate evaluation of divided differences for polynomial interpolation of exponential propagators. Computing 80 (2) (2007)
Luca Bergamaschi, Marco Caliari, Angeles Martinez, Marco Vianello
Comparing Leja and Krylov Approximations of Large Scale Matrix Exponentials. International Conference on Computational Science (4) (2006)
Marco Caliari, Marco Vianello, Stefano De Marchi, Roberto Montagna
Hyper2d: A numerical code for hyperinterpolation on rectangles. Appl. Math. Comput. 183 (2) (2006)
Len Bos, Marco Caliari, Stefano De Marchi, Marco Vianello
A Numerical Study of the Xu Polynomial Interpolation Formula in Two Variables. Computing 76 (3-4) (2006)
Len Bos, Marco Caliari, Stefano De Marchi, Marco Vianello, Yuan Xu
Bivariate Lagrange interpolation at the Padua points: The generating curve approach. J. Approx. Theory 143 (1) (2006)
Marco Caliari, Stefano De Marchi, Marco Vianello
Bivariate polynomial interpolation on the square at new nodal sets. Appl. Math. Comput. 165 (2) (2005)
Luca Bergamaschi, Marco Caliari, Angeles Martinez, Marco Vianello
A Parallel Exponential Integrator for Large-Scale Discretizations of Advection-Diffusion Models. PVM/MPI (2005)
Luca Bergamaschi, Marco Caliari, Marco Vianello
The ReLPM Exponential Integrator for FE Discretizations of Advection-Diffusion Equations. International Conference on Computational Science (2004)
Luca Bergamaschi, Marco Caliari, Marco Vianello
Efficient approximation of the exponential operator for discrete 2D advection-diffusion problems. Numer. Linear Algebra Appl. 10 (3) (2003)