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Author ID: caliari.marco Recent zbMATH articles by "Caliari, Marco"
Published as: Caliari, Marco; Caliari, M.
External Links: MGP · ORCID

Publications by Year

Citations contained in zbMATH Open

43 Publications have been cited 567 times in 344 Documents Cited by Year
Bivariate Lagrange interpolation at the Padua points: the generating curve approach. Zbl 1113.41001
Bos, Len; Caliari, Marco; De Marchi, Stefano; Vianello, Marco; Xu, Yuan
58
2006
Bivariate polynomial interpolation on the square at new nodal sets. Zbl 1081.41001
Caliari, Marco; De Marchi, Stefano; Vianello, Marco
48
2005
Implementation of exponential Rosenbrock-type integrators. Zbl 1160.65318
Caliari, Marco; Ostermann, Alexander
47
2009
High-order time-splitting Hermite and Fourier spectral methods. Zbl 1158.65340
Thalhammer, Mechthild; Caliari, Marco; Neuhauser, Christof
35
2009
The Leja method revisited: backward error analysis for the matrix exponential. Zbl 1339.65061
Caliari, Marco; Kandolf, Peter; Ostermann, Alexander; Rainer, Stefan
30
2016
Comparison of software for computing the action of the matrix exponential. Zbl 1290.65042
Caliari, Marco; Kandolf, Peter; Ostermann, Alexander; Rainer, Stefan
27
2014
A minimisation approach for computing the ground state of Gross-Pitaevskii systems. Zbl 1159.82311
Caliari, Marco; Ostermann, Alexander; Rainer, Stefan; Thalhammer, Mechthild
26
2009
Interpolating discrete advection–diffusion propagators at Leja sequences. Zbl 1055.65105
Caliari, M.; Vianello, M.; Bergamaschi, L.
25
2004
Bivariate Lagrange interpolation at the Padua points: Computational aspects. Zbl 1152.65018
Caliari, Marco; de Marchi, Stefano; Vianello, Marco
18
2008
Padua2DM: Fast interpolation and cubature at the Padua points in MATLAB/Octave. Zbl 1206.65028
Caliari, Marco; De Marchi, Stefano; Sommariva, Alvise; Vianello, Marco
17
2011
Efficient approximation of the exponential operator for discrete 2D advection-diffusion problems. Zbl 1071.65048
Bergamaschi, Luca; Caliari, Marco; Vianello, Marco
16
2003
Accurate evaluation of divided differences for polynomial interpolation of exponential propagators. Zbl 1120.65009
Caliari, M.
15
2007
A massively parallel exponential integrator for advection-diffusion models. Zbl 1167.65443
Martínez, A.; Bergamaschi, L.; Caliari, M.; Vianello, M.
14
2009
On-the-fly backward error estimate for matrix exponential approximation by Taylor algorithm. Zbl 1452.65082
Caliari, M.; Zivcovich, F.
13
2019
Comparing Leja and Krylov approximations of large scale matrix exponentials. Zbl 1157.65366
Bergamaschi, L.; Caliari, M.; Martínez, A.; Vianello, M.
12
2006
Quasi-Newton minimization for the \(p(x)\)-Laplacian problem. Zbl 1462.90152
Caliari, M.; Zuccher, S.
11
2017
The ReLPM exponential integrator for FE discretizations of advection-diffusion equations. Zbl 1107.65081
Bergamaschi, Luca; Caliari, Marco; Vianello, Marco
11
2004
A numerical study of the xu polynomial interpolation formula in two variables. Zbl 1087.65009
Bos, L.; Caliari, M.; De Marchi, S.; Vianello, M.
11
2006
Location and phase segregation of ground and excited states for 2D Gross-Pitaevskii systems. Zbl 1158.35322
Caliari, Marco; Squassina, Marco
11
2008
Hyperinterpolation on the square. Zbl 1151.65014
Caliari, Marco; De Marchi, Stefano; Vianello, Marco
10
2007
A splitting approach for the magnetic Schrödinger equation. Zbl 1373.81195
Caliari, M.; Ostermann, A.; Piazzola, C.
10
2017
The LEM exponential integrator for advection-diffusion-reaction equations. Zbl 1134.65063
Caliari, Marco; Vianello, Marco; Bergamaschi, Luca
9
2007
Hyperinterpolation in the cube. Zbl 1142.65312
Caliari, Marco; De Marchi, Stefano; Vianello, Marco
9
2008
GSGPEs: a MATLAB code for computing the ground state of systems of Gross-Pitaevskii equations. Zbl 1302.35004
Caliari, Marco; Rainer, Stefan
8
2013
Bivariate interpolation at Xu points: results, extensions and applications. Zbl 1115.65304
Bos, Len; Caliari, Marco; De Marchi, Stefano; Vianello, Marco
8
2006
Hyper2d: A numerical code for hyperinterpolation on rectangles. Zbl 1105.65307
Caliari, Marco; Vianello, Marco; De Marchi, Stefano; Montagna, Roberto
7
2006
The inverse power method for the \(p(x)\)-Laplacian problem. Zbl 1329.65262
Caliari, M.; Zuccher, S.
6
2015
Computing the first eigenpair for problems with variable exponents. Zbl 1282.65143
Bellomi, Marcello; Caliari, Marco; Squassina, Marco
6
2013
Meshfree exponential integrators. Zbl 1264.65164
Caliari, Marco; Ostermann, Alexander; Rainer, Stefan
6
2013
Revisiting corporate growth options in the presence of state-dependent cashflow risk. Zbl 1253.91089
Sbuelz, Alessandro; Caliari, Marco
6
2012
An accurate and time-parallel rational exponential integrator for hyperbolic and oscillatory PDEs. Zbl 07505900
Caliari, Marco; Einkemmer, Lukas; Moriggl, Alexander; Ostermann, Alexander
6
2021
Backward error analysis of polynomial approximations for computing the action of the matrix exponential. Zbl 06989583
Caliari, Marco; Kandolf, Peter; Zivcovich, Franco
4
2018
A fast time splitting finite difference approach to Gross-Pitaevskii equations. Zbl 1473.65096
Caliari, Marco; Zuccher, Simone
4
2021
Anisotropic osmosis filtering for shadow removal in images. Zbl 1448.94030
Parisotto, Simone; Calatroni, Luca; Caliari, Marco; Schönlieb, Carola-Bibiane; Weickert, Joachim
3
2019
Numerical computation of soliton dynamics for NLS equations in a driving potential. Zbl 1196.35200
Caliari, Marco; Squassina, Marco
3
2010
Approximation of the matrix exponential for matrices with a skinny field of values. Zbl 1455.65069
Caliari, Marco; Cassini, Fabio; Zivcovich, Franco
3
2020
A \(\mu\)-mode integrator for solving evolution equations in Kronecker form. Zbl 07518078
Caliari, Marco; Cassini, Fabio; Einkemmer, Lukas; Ostermann, Alexander; Zivcovich, Franco
3
2022
Application of modified Leja sequences to polynomial interpolation. Zbl 1370.41002
Bos, Len P.; Caliari, Marco
2
2015
On a bifurcation value related to quasi-linear Schrödinger equations. Zbl 1264.35008
Caliari, Marco; Squassina, Marco
2
2012
Spatial patterns for the three species Gross-Pitaevskii system in the plane. Zbl 1173.35359
Caliari, Marco; Squassina, Marco
2
2008
BAMPHI: matrix-free and transpose-free action of linear combinations of \(\varphi\)-functions from exponential integrators. Zbl 1503.65142
Caliari, Marco; Cassini, Fabio; Zivcovich, Franco
2
2023
INFFTM: fast evaluation of 3d Fourier series in MATLAB with an application to quantum vortex reconnections. Zbl 1380.65454
Caliari, Marco; Zuccher, Simone
2
2017
A \(\mu\)-mode BLAS approach for multidimensional tensor-structured problems. Zbl 07669777
Caliari, Marco; Cassini, Fabio; Zivcovich, Franco
1
2023
BAMPHI: matrix-free and transpose-free action of linear combinations of \(\varphi\)-functions from exponential integrators. Zbl 1503.65142
Caliari, Marco; Cassini, Fabio; Zivcovich, Franco
2
2023
A \(\mu\)-mode BLAS approach for multidimensional tensor-structured problems. Zbl 07669777
Caliari, Marco; Cassini, Fabio; Zivcovich, Franco
1
2023
A \(\mu\)-mode integrator for solving evolution equations in Kronecker form. Zbl 07518078
Caliari, Marco; Cassini, Fabio; Einkemmer, Lukas; Ostermann, Alexander; Zivcovich, Franco
3
2022
An accurate and time-parallel rational exponential integrator for hyperbolic and oscillatory PDEs. Zbl 07505900
Caliari, Marco; Einkemmer, Lukas; Moriggl, Alexander; Ostermann, Alexander
6
2021
A fast time splitting finite difference approach to Gross-Pitaevskii equations. Zbl 1473.65096
Caliari, Marco; Zuccher, Simone
4
2021
Approximation of the matrix exponential for matrices with a skinny field of values. Zbl 1455.65069
Caliari, Marco; Cassini, Fabio; Zivcovich, Franco
3
2020
On-the-fly backward error estimate for matrix exponential approximation by Taylor algorithm. Zbl 1452.65082
Caliari, M.; Zivcovich, F.
13
2019
Anisotropic osmosis filtering for shadow removal in images. Zbl 1448.94030
Parisotto, Simone; Calatroni, Luca; Caliari, Marco; Schönlieb, Carola-Bibiane; Weickert, Joachim
3
2019
Backward error analysis of polynomial approximations for computing the action of the matrix exponential. Zbl 06989583
Caliari, Marco; Kandolf, Peter; Zivcovich, Franco
4
2018
Quasi-Newton minimization for the \(p(x)\)-Laplacian problem. Zbl 1462.90152
Caliari, M.; Zuccher, S.
11
2017
A splitting approach for the magnetic Schrödinger equation. Zbl 1373.81195
Caliari, M.; Ostermann, A.; Piazzola, C.
10
2017
INFFTM: fast evaluation of 3d Fourier series in MATLAB with an application to quantum vortex reconnections. Zbl 1380.65454
Caliari, Marco; Zuccher, Simone
2
2017
The Leja method revisited: backward error analysis for the matrix exponential. Zbl 1339.65061
Caliari, Marco; Kandolf, Peter; Ostermann, Alexander; Rainer, Stefan
30
2016
The inverse power method for the \(p(x)\)-Laplacian problem. Zbl 1329.65262
Caliari, M.; Zuccher, S.
6
2015
Application of modified Leja sequences to polynomial interpolation. Zbl 1370.41002
Bos, Len P.; Caliari, Marco
2
2015
Comparison of software for computing the action of the matrix exponential. Zbl 1290.65042
Caliari, Marco; Kandolf, Peter; Ostermann, Alexander; Rainer, Stefan
27
2014
GSGPEs: a MATLAB code for computing the ground state of systems of Gross-Pitaevskii equations. Zbl 1302.35004
Caliari, Marco; Rainer, Stefan
8
2013
Computing the first eigenpair for problems with variable exponents. Zbl 1282.65143
Bellomi, Marcello; Caliari, Marco; Squassina, Marco
6
2013
Meshfree exponential integrators. Zbl 1264.65164
Caliari, Marco; Ostermann, Alexander; Rainer, Stefan
6
2013
Revisiting corporate growth options in the presence of state-dependent cashflow risk. Zbl 1253.91089
Sbuelz, Alessandro; Caliari, Marco
6
2012
On a bifurcation value related to quasi-linear Schrödinger equations. Zbl 1264.35008
Caliari, Marco; Squassina, Marco
2
2012
Padua2DM: Fast interpolation and cubature at the Padua points in MATLAB/Octave. Zbl 1206.65028
Caliari, Marco; De Marchi, Stefano; Sommariva, Alvise; Vianello, Marco
17
2011
Numerical computation of soliton dynamics for NLS equations in a driving potential. Zbl 1196.35200
Caliari, Marco; Squassina, Marco
3
2010
Implementation of exponential Rosenbrock-type integrators. Zbl 1160.65318
Caliari, Marco; Ostermann, Alexander
47
2009
High-order time-splitting Hermite and Fourier spectral methods. Zbl 1158.65340
Thalhammer, Mechthild; Caliari, Marco; Neuhauser, Christof
35
2009
A minimisation approach for computing the ground state of Gross-Pitaevskii systems. Zbl 1159.82311
Caliari, Marco; Ostermann, Alexander; Rainer, Stefan; Thalhammer, Mechthild
26
2009
A massively parallel exponential integrator for advection-diffusion models. Zbl 1167.65443
Martínez, A.; Bergamaschi, L.; Caliari, M.; Vianello, M.
14
2009
Bivariate Lagrange interpolation at the Padua points: Computational aspects. Zbl 1152.65018
Caliari, Marco; de Marchi, Stefano; Vianello, Marco
18
2008
Location and phase segregation of ground and excited states for 2D Gross-Pitaevskii systems. Zbl 1158.35322
Caliari, Marco; Squassina, Marco
11
2008
Hyperinterpolation in the cube. Zbl 1142.65312
Caliari, Marco; De Marchi, Stefano; Vianello, Marco
9
2008
Spatial patterns for the three species Gross-Pitaevskii system in the plane. Zbl 1173.35359
Caliari, Marco; Squassina, Marco
2
2008
Accurate evaluation of divided differences for polynomial interpolation of exponential propagators. Zbl 1120.65009
Caliari, M.
15
2007
Hyperinterpolation on the square. Zbl 1151.65014
Caliari, Marco; De Marchi, Stefano; Vianello, Marco
10
2007
The LEM exponential integrator for advection-diffusion-reaction equations. Zbl 1134.65063
Caliari, Marco; Vianello, Marco; Bergamaschi, Luca
9
2007
Bivariate Lagrange interpolation at the Padua points: the generating curve approach. Zbl 1113.41001
Bos, Len; Caliari, Marco; De Marchi, Stefano; Vianello, Marco; Xu, Yuan
58
2006
Comparing Leja and Krylov approximations of large scale matrix exponentials. Zbl 1157.65366
Bergamaschi, L.; Caliari, M.; Martínez, A.; Vianello, M.
12
2006
A numerical study of the xu polynomial interpolation formula in two variables. Zbl 1087.65009
Bos, L.; Caliari, M.; De Marchi, S.; Vianello, M.
11
2006
Bivariate interpolation at Xu points: results, extensions and applications. Zbl 1115.65304
Bos, Len; Caliari, Marco; De Marchi, Stefano; Vianello, Marco
8
2006
Hyper2d: A numerical code for hyperinterpolation on rectangles. Zbl 1105.65307
Caliari, Marco; Vianello, Marco; De Marchi, Stefano; Montagna, Roberto
7
2006
Bivariate polynomial interpolation on the square at new nodal sets. Zbl 1081.41001
Caliari, Marco; De Marchi, Stefano; Vianello, Marco
48
2005
Interpolating discrete advection–diffusion propagators at Leja sequences. Zbl 1055.65105
Caliari, M.; Vianello, M.; Bergamaschi, L.
25
2004
The ReLPM exponential integrator for FE discretizations of advection-diffusion equations. Zbl 1107.65081
Bergamaschi, Luca; Caliari, Marco; Vianello, Marco
11
2004
Efficient approximation of the exponential operator for discrete 2D advection-diffusion problems. Zbl 1071.65048
Bergamaschi, Luca; Caliari, Marco; Vianello, Marco
16
2003
all top 5

Cited by 497 Authors

28 Caliari, Marco
24 Vianello, Marco
21 De Marchi, Stefano
12 Ostermann, Alexander
9 Sommariva, Alvise
8 Thalhammer, Mechthild
7 Bao, Weizhu
7 Bos, Len P.
7 Luan, Vu Thai
6 Antoine, Xavier
6 Bergamaschi, Luca
6 Einkemmer, Lukas
6 Erb, Wolfgang
6 Kandolf, Peter
6 Tambue, Antoine
6 Tokman, Mayya
5 Martínez, Ángeles
5 Rainer, Stefan
5 Wang, Tingchun
5 Zivcovich, Franco
4 Bhatt, Harish P.
4 Bochev, M. A.
4 Cai, Yongyong
4 Cassini, Fabio
4 Guo, Boling
4 Higham, Nicholas J.
4 Li, Xianggui
4 Lord, Gabriel James
4 Squassina, Marco
4 Srinivas Kumar, V. V. K.
4 Tang, Qinglin
4 Xu, Yuan
4 Zuccher, Simone
3 An, Congpei
3 Blanes, Sergio
3 Calvi, Jean-Paul
3 Chaudhary, Sudhakar
3 Crouseilles, Nicolas
3 Duboscq, Romain
3 Harris, Lawrence A.
3 Ibrahimoglu, Bayram Ali
3 Kolomoitsev, Yurii S.
3 Li, Dongping
3 Lomako, Tetiana
3 Marchetti, Francesco
3 Novati, Paolo
3 Occorsio, Donatella
3 Perracchione, Emma
3 Piazzon, Federico
3 Rainwater, Greg
3 Soleymani, Fazlollah
3 Tang, Huazhong
3 Wu, Hao-Ning
3 Wu, Kailiang
3 Žitňan, Peter
2 Alonso-Mallo, Isaías
2 Altmann, Robert
2 Alvarez, Jorge
2 Buvoli, Tommaso
2 Casas, Fernando
2 Chartier, Philippe
2 Čiegis, Raimondas
2 Cools, Ronald
2 Danaila, Ionut
2 Dell’Accio, Francesco
2 Dencker, Peter
2 Di Tommaso, Filomena
2 Duran, Angel
2 Elefante, Giacomo
2 Fasi, Massimiliano
2 Gaudreault, Stéphane
2 Geiger, Sebastian
2 González, Cesáreo
2 Gu, Xian-Ming
2 Güttel, Stefan
2 Haber, Aleksandar
2 Henning, Patrick
2 Hosseini, Rasool
2 Ibáñez González, Jacinto Javier
2 Khaliq, Abdul Q. M.
2 Klein, Christian
2 Koch, Othmar
2 Kosloff, Ronnie
2 Lambers, James V.
2 Levenberg, Norman jun.
2 Li, Xiaolin
2 Li, Yingzhe
2 Liu, Wei
2 Marco García, Ana
2 Martínez, José-Javier
2 Méhats, Florian
2 Mena, Hermann
2 Michels, Dominik Ludewig
2 Mukam, Jean Daniel
2 Neuhauser, Christof
2 Patra, Suchismita
2 Peterseim, Daniel
2 Pfurtscheller, Lena-Maria
2 Piazzola, Chiara
2 Poppe, Koen
...and 397 more Authors
all top 5

Cited in 90 Serials

41 Journal of Computational Physics
33 Journal of Computational and Applied Mathematics
17 SIAM Journal on Scientific Computing
15 Computers & Mathematics with Applications
15 Applied Numerical Mathematics
13 Applied Mathematics and Computation
13 Numerical Algorithms
12 BIT
11 Journal of Approximation Theory
9 Journal of Scientific Computing
8 International Journal of Computer Mathematics
6 Computer Physics Communications
6 Numerische Mathematik
6 Linear Algebra and its Applications
6 Communications in Computational Physics
5 Mathematics of Computation
5 Engineering Analysis with Boundary Elements
4 Computer Methods in Applied Mechanics and Engineering
4 SIAM Journal on Numerical Analysis
4 Applied Mathematics Letters
4 European Journal of Operational Research
4 Advances in Computational Mathematics
3 Calcolo
3 Physica D
3 Optimization Letters
3 East Asian Journal on Applied Mathematics
2 Journal of Mathematical Analysis and Applications
2 Mathematical Methods in the Applied Sciences
2 Wave Motion
2 Computing
2 Manuscripta Mathematica
2 Mathematics and Computers in Simulation
2 Proceedings of the American Mathematical Society
2 Journal of Complexity
2 Numerical Methods for Partial Differential Equations
2 SIAM Journal on Matrix Analysis and Applications
2 Applied Mathematical Modelling
2 Discrete and Continuous Dynamical Systems
2 Journal of the European Mathematical Society (JEMS)
2 Decisions in Economics and Finance
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 GAMM-Mitteilungen
2 Discrete and Continuous Dynamical Systems. Series S
1 Applicable Analysis
1 International Journal for Numerical Methods in Fluids
1 Indian Journal of Pure & Applied Mathematics
1 Journal of Fluid Mechanics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Automatica
1 International Journal of Mathematics and Mathematical Sciences
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Numerical Functional Analysis and Optimization
1 Computer Aided Geometric Design
1 Constructive Approximation
1 Computational Mechanics
1 International Journal of Approximate Reasoning
1 Computational Mathematics and Mathematical Physics
1 SIAM Review
1 SIAM Journal on Optimization
1 Numerical Linear Algebra with Applications
1 Computational and Applied Mathematics
1 Journal of Mathematical Chemistry
1 Journal of Inequalities and Applications
1 Communications in Nonlinear Science and Numerical Simulation
1 Computational Geosciences
1 Lobachevskii Journal of Mathematics
1 International Journal of Nonlinear Sciences and Numerical Simulation
1 Nonlinear Analysis. Modelling and Control
1 Mathematical Modelling and Analysis
1 Quantitative Finance
1 Discrete and Continuous Dynamical Systems. Series B
1 Journal of Applied Mathematics
1 Journal of Applied Mathematics and Computing
1 Central European Journal of Mathematics
1 Multiscale Modeling & Simulation
1 International Journal of Computational Methods
1 Advances in Difference Equations
1 Cubo
1 Journal of Fixed Point Theory and Applications
1 Journal of Physics A: Mathematical and Theoretical
1 Operators and Matrices
1 Kinetic and Related Models
1 Advances in Applied Mathematics and Mechanics
1 Afrika Matematika
1 Communications in Applied and Industrial Mathematics
1 JSIAM Letters
1 Research in the Mathematical Sciences
1 SMAI Journal of Computational Mathematics
1 Constructive Mathematical Analysis
1 Electronic Research Archive
all top 5

Cited in 38 Fields

286 Numerical analysis (65-XX)
119 Partial differential equations (35-XX)
66 Approximations and expansions (41-XX)
24 Fluid mechanics (76-XX)
23 Quantum theory (81-XX)
21 Linear and multilinear algebra; matrix theory (15-XX)
19 Ordinary differential equations (34-XX)
19 Statistical mechanics, structure of matter (82-XX)
11 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
9 Harmonic analysis on Euclidean spaces (42-XX)
9 Operations research, mathematical programming (90-XX)
8 Dynamical systems and ergodic theory (37-XX)
8 Calculus of variations and optimal control; optimization (49-XX)
8 Computer science (68-XX)
7 Special functions (33-XX)
6 Optics, electromagnetic theory (78-XX)
5 Difference and functional equations (39-XX)
5 Mechanics of deformable solids (74-XX)
5 Systems theory; control (93-XX)
4 Operator theory (47-XX)
4 Information and communication theory, circuits (94-XX)
3 Functional analysis (46-XX)
3 Probability theory and stochastic processes (60-XX)
3 Statistics (62-XX)
3 Mechanics of particles and systems (70-XX)
3 Geophysics (86-XX)
3 Biology and other natural sciences (92-XX)
2 Real functions (26-XX)
2 Integral equations (45-XX)
2 Astronomy and astrophysics (85-XX)
1 History and biography (01-XX)
1 Combinatorics (05-XX)
1 Nonassociative rings and algebras (17-XX)
1 Integral transforms, operational calculus (44-XX)
1 Convex and discrete geometry (52-XX)
1 Manifolds and cell complexes (57-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year