×
Author ID: funaro.daniele Recent zbMATH articles by "Funaro, Daniele"
Published as: Funaro, Daniele; Funaro, D.
Documents Indexed: 64 Publications since 1983, including 3 Books
Co-Authors: 24 Co-Authors with 28 Joint Publications
732 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

51 Publications have been cited 811 times in 584 Documents Cited by Year
Polynomial approximation of differential equations. Zbl 0774.41010
Funaro, Daniele
216
1992
Approximation of some diffusion evolution equations in unbounded domains by Hermite functions. Zbl 0764.35007
Funaro, Daniele; Kavian, Otared
73
1991
An iterative procedure with interface relaxation for domain decomposition methods. Zbl 0678.65082
Funaro, Daniele; Quarteroni, Alfio; Zanolli, Paola
65
1988
A new method of imposing boundary conditions in pseudospectral approximations of hyperbolic equations. Zbl 0699.65079
Funaro, D.; Gottlieb, D.
54
1988
Laguerre spectral approximation of elliptic problems in exterior domains. Zbl 0734.73090
Coulaud, Olivier; Funaro, Daniele; Kavian, Otared
51
1990
Computational aspects of pseudospectral Laguerre approximations. Zbl 0708.65072
Funaro, Daniele
30
1990
Spectral elements for transport-dominated equations. Zbl 0891.65118
Funaro, Daniele
29
1997
Convergence results for pseudospectral approximations of hyperbolic systems by a penalty-type boundary treatment. Zbl 0736.65074
Funaro, Daniele; Gottlieb, David
27
1991
The Schwarz algorithm for spectral methods. Zbl 0642.65076
Canuto, C.; Funaro, D.
26
1988
A multidomain spectral approximation of elliptic equations. Zbl 0622.65104
Funaro, Daniele
20
1986
Some results about the pseudospectral approximation of one-dimensional fourth-order problems. Zbl 0714.65074
Funaro, Daniele; Heinrichs, Wilhelm
19
1990
Estimates of Laguerre spectral projectors in Sobolev spaces. Zbl 0842.46017
Funaro, Daniele
17
1991
Remarks about the matrices relative to the pseudospectral approximation of Neumann problems. Zbl 0785.65087
Bertoluzza, S.; Funaro, D.
16
1992
A preconditioning matrix for the Chebyshev differencing operator. Zbl 0635.65018
Funaro, Daniele
16
1987
A new scheme for the approximation of advection-diffusion equations by collocation. Zbl 0796.65120
Funaro, Daniele
13
1993
Convergence of spectral discretizations of the Vlasov-Poisson system. Zbl 1375.65118
Manzini, G.; Funaro, D.; Delzanno, G. L.
11
2017
Domain decomposition methods for pseudo spectral approximations. I. Second order equations in one dimension. Zbl 0637.65077
Funaro, Daniele
11
1988
Electromagnetism and the structure of matter. Zbl 1170.78001
Funaro, Daniele
10
2008
Spline approximation of advection-diffusion problems using upwind type collocation nodes. Zbl 0938.65100
Funaro, Daniele; Pontrelli, Giuseppe
8
1999
Arbitrary-order time-accurate semi-Lagrangian spectral approximations of the Vlasov-Poisson system. Zbl 1451.65155
Fatone, L.; Funaro, D.; Manzini, G.
8
2019
A variational formulation for the Chebyshev pseudospectral approximation of Neumann problems. Zbl 0702.65090
Funaro, Daniele
7
1990
Optimal collocation nodes for fractional derivative operators. Zbl 1328.65252
Fatone, L.; Funaro, D.
6
2015
A semi-Lagrangian spectral method for the Vlasov-Poisson system based on Fourier, Legendre and Hermite polynomials. Zbl 1449.65272
Fatone, Lorella; Funaro, Daniele; Manzini, Gianmarco
6
2019
Finite-difference schemes for transport-dominated equations using special collocation nodes. Zbl 1079.65105
Fatone, Lorella; Funaro, Daniele; Giova, Rafaella
5
2005
Superconsistent discretizations. Zbl 0999.65073
Funaro, Daniele
5
2002
Some remarks about the collocation method on a modified Legendre grid. Zbl 0868.65049
Funaro, D.
4
1997
Rotating electromagnetic waves in toroid-shaped regions. Zbl 1193.78005
Chinosi, Claudia; Della Croce, Lucia; Funaro, Daniele
4
2010
Finite-difference preconditioners for superconsistent pseudospectral approximations. Zbl 1133.65103
Fatone, Lorella; Funaro, Daniele; Scannavini, Valentina
4
2007
Analysis of the DuFort-Frankel method for linear systems. Zbl 0578.65023
Funaro, Daniele
4
1985
Pseudospectral approximation of a PDE defined on a triangle. Zbl 0728.65092
Funaro, Daniele
4
1991
A mathematical model of potential spreading along neuron dendrites of cerebellar granule cells. Zbl 0786.92007
Comincioli, V.; Funaro, D.; Torelli, A.; D’Angelo, E.; Rossi, P.
3
1993
A general class of finite-difference methods for the linear transport equation. Zbl 1092.65070
Funaro, Daniele; Pontrelli, Giuseppe
3
2005
A superconsistent Chebyshev collocation method for second-order differential operators. Zbl 0991.65071
Funaro, Daniele
3
2001
A note on second-order finite-difference schemes on uniform meshes for advection-diffusion equations. Zbl 0938.65101
Funaro, Daniele
3
1999
Some results about the spectrum of the Chebyshev differencing operator. Zbl 0609.65081
Funaro, Daniele
3
1987
Computing the inverse of the Chebyshev collocation derivative. Zbl 0662.65024
Funaro, Daniele
3
1988
Approximation by the Legendre collocation method of a model problem in electrophysiology. Zbl 0762.65076
Funaro, Daniele
2
1992
Approximation of advection-diffusion problems by a modified Legendre grid. Zbl 0875.76330
Funaro, D.; Russo, A.
2
1993
Superconsistent discretizations of integral type equations. Zbl 1036.65113
Funaro, Daniele
2
2004
A convergence analysis for the superconsistent Chebyshev method. Zbl 1147.65319
Fatone, Lorella; Funaro, Daniele; Yoon, Gang Joon
2
2007
Error estimates for spectral approximation of linear advection equations over an hypercube. Zbl 0559.65086
Funaro, D.
2
1983
Superconsistent discretizations with application to hyperbolic equation. Zbl 1032.65092
Funaro, Daniele
2
2003
On the use of Hermite functions for the Vlasov-Poisson system. Zbl 1484.65247
Fatone, Lorella; Funaro, Daniele; Manzini, Gianmarco
2
2020
Trapping electromagnetic solitons in cylinders. Zbl 1499.78004
Funaro, Daniele
2
2014
Stability and conservation properties of Hermite-based approximations of the Vlasov-Poisson system. Zbl 1486.65193
Funaro, Daniele; Manzini, Gianmarco
2
2021
An alternative approach to the analysis and the approximation of the Navier-Stokes equations. Zbl 0806.76056
Boffi, D.; Funaro, D.
1
1994
A fast solver for elliptic boundary-value problems in the square. Zbl 0820.65076
Funaro, Daniele
1
1994
Charging capacitors according to Maxwell’s equations: impossible. Zbl 1329.78023
Funaro, Daniele
1
2014
Improving the performances of implicit schemes for hyperbolic equations. Zbl 0908.65080
Funaro, Daniele
1
1997
A decision-making machine learning approach in Hermite spectral approximations of partial differential equations. Zbl 1490.65297
Fatone, L.; Funaro, D.; Manzini, G.
1
2022
High frequency electrical oscillations in cavities. Zbl 1488.35517
Funaro, Daniele
1
2018
A decision-making machine learning approach in Hermite spectral approximations of partial differential equations. Zbl 1490.65297
Fatone, L.; Funaro, D.; Manzini, G.
1
2022
Stability and conservation properties of Hermite-based approximations of the Vlasov-Poisson system. Zbl 1486.65193
Funaro, Daniele; Manzini, Gianmarco
2
2021
On the use of Hermite functions for the Vlasov-Poisson system. Zbl 1484.65247
Fatone, Lorella; Funaro, Daniele; Manzini, Gianmarco
2
2020
Arbitrary-order time-accurate semi-Lagrangian spectral approximations of the Vlasov-Poisson system. Zbl 1451.65155
Fatone, L.; Funaro, D.; Manzini, G.
8
2019
A semi-Lagrangian spectral method for the Vlasov-Poisson system based on Fourier, Legendre and Hermite polynomials. Zbl 1449.65272
Fatone, Lorella; Funaro, Daniele; Manzini, Gianmarco
6
2019
High frequency electrical oscillations in cavities. Zbl 1488.35517
Funaro, Daniele
1
2018
Convergence of spectral discretizations of the Vlasov-Poisson system. Zbl 1375.65118
Manzini, G.; Funaro, D.; Delzanno, G. L.
11
2017
Optimal collocation nodes for fractional derivative operators. Zbl 1328.65252
Fatone, L.; Funaro, D.
6
2015
Trapping electromagnetic solitons in cylinders. Zbl 1499.78004
Funaro, Daniele
2
2014
Charging capacitors according to Maxwell’s equations: impossible. Zbl 1329.78023
Funaro, Daniele
1
2014
Rotating electromagnetic waves in toroid-shaped regions. Zbl 1193.78005
Chinosi, Claudia; Della Croce, Lucia; Funaro, Daniele
4
2010
Electromagnetism and the structure of matter. Zbl 1170.78001
Funaro, Daniele
10
2008
Finite-difference preconditioners for superconsistent pseudospectral approximations. Zbl 1133.65103
Fatone, Lorella; Funaro, Daniele; Scannavini, Valentina
4
2007
A convergence analysis for the superconsistent Chebyshev method. Zbl 1147.65319
Fatone, Lorella; Funaro, Daniele; Yoon, Gang Joon
2
2007
Finite-difference schemes for transport-dominated equations using special collocation nodes. Zbl 1079.65105
Fatone, Lorella; Funaro, Daniele; Giova, Rafaella
5
2005
A general class of finite-difference methods for the linear transport equation. Zbl 1092.65070
Funaro, Daniele; Pontrelli, Giuseppe
3
2005
Superconsistent discretizations of integral type equations. Zbl 1036.65113
Funaro, Daniele
2
2004
Superconsistent discretizations with application to hyperbolic equation. Zbl 1032.65092
Funaro, Daniele
2
2003
Superconsistent discretizations. Zbl 0999.65073
Funaro, Daniele
5
2002
A superconsistent Chebyshev collocation method for second-order differential operators. Zbl 0991.65071
Funaro, Daniele
3
2001
Spline approximation of advection-diffusion problems using upwind type collocation nodes. Zbl 0938.65100
Funaro, Daniele; Pontrelli, Giuseppe
8
1999
A note on second-order finite-difference schemes on uniform meshes for advection-diffusion equations. Zbl 0938.65101
Funaro, Daniele
3
1999
Spectral elements for transport-dominated equations. Zbl 0891.65118
Funaro, Daniele
29
1997
Some remarks about the collocation method on a modified Legendre grid. Zbl 0868.65049
Funaro, D.
4
1997
Improving the performances of implicit schemes for hyperbolic equations. Zbl 0908.65080
Funaro, Daniele
1
1997
An alternative approach to the analysis and the approximation of the Navier-Stokes equations. Zbl 0806.76056
Boffi, D.; Funaro, D.
1
1994
A fast solver for elliptic boundary-value problems in the square. Zbl 0820.65076
Funaro, Daniele
1
1994
A new scheme for the approximation of advection-diffusion equations by collocation. Zbl 0796.65120
Funaro, Daniele
13
1993
A mathematical model of potential spreading along neuron dendrites of cerebellar granule cells. Zbl 0786.92007
Comincioli, V.; Funaro, D.; Torelli, A.; D’Angelo, E.; Rossi, P.
3
1993
Approximation of advection-diffusion problems by a modified Legendre grid. Zbl 0875.76330
Funaro, D.; Russo, A.
2
1993
Polynomial approximation of differential equations. Zbl 0774.41010
Funaro, Daniele
216
1992
Remarks about the matrices relative to the pseudospectral approximation of Neumann problems. Zbl 0785.65087
Bertoluzza, S.; Funaro, D.
16
1992
Approximation by the Legendre collocation method of a model problem in electrophysiology. Zbl 0762.65076
Funaro, Daniele
2
1992
Approximation of some diffusion evolution equations in unbounded domains by Hermite functions. Zbl 0764.35007
Funaro, Daniele; Kavian, Otared
73
1991
Convergence results for pseudospectral approximations of hyperbolic systems by a penalty-type boundary treatment. Zbl 0736.65074
Funaro, Daniele; Gottlieb, David
27
1991
Estimates of Laguerre spectral projectors in Sobolev spaces. Zbl 0842.46017
Funaro, Daniele
17
1991
Pseudospectral approximation of a PDE defined on a triangle. Zbl 0728.65092
Funaro, Daniele
4
1991
Laguerre spectral approximation of elliptic problems in exterior domains. Zbl 0734.73090
Coulaud, Olivier; Funaro, Daniele; Kavian, Otared
51
1990
Computational aspects of pseudospectral Laguerre approximations. Zbl 0708.65072
Funaro, Daniele
30
1990
Some results about the pseudospectral approximation of one-dimensional fourth-order problems. Zbl 0714.65074
Funaro, Daniele; Heinrichs, Wilhelm
19
1990
A variational formulation for the Chebyshev pseudospectral approximation of Neumann problems. Zbl 0702.65090
Funaro, Daniele
7
1990
An iterative procedure with interface relaxation for domain decomposition methods. Zbl 0678.65082
Funaro, Daniele; Quarteroni, Alfio; Zanolli, Paola
65
1988
A new method of imposing boundary conditions in pseudospectral approximations of hyperbolic equations. Zbl 0699.65079
Funaro, D.; Gottlieb, D.
54
1988
The Schwarz algorithm for spectral methods. Zbl 0642.65076
Canuto, C.; Funaro, D.
26
1988
Domain decomposition methods for pseudo spectral approximations. I. Second order equations in one dimension. Zbl 0637.65077
Funaro, Daniele
11
1988
Computing the inverse of the Chebyshev collocation derivative. Zbl 0662.65024
Funaro, Daniele
3
1988
A preconditioning matrix for the Chebyshev differencing operator. Zbl 0635.65018
Funaro, Daniele
16
1987
Some results about the spectrum of the Chebyshev differencing operator. Zbl 0609.65081
Funaro, Daniele
3
1987
A multidomain spectral approximation of elliptic equations. Zbl 0622.65104
Funaro, Daniele
20
1986
Analysis of the DuFort-Frankel method for linear systems. Zbl 0578.65023
Funaro, Daniele
4
1985
Error estimates for spectral approximation of linear advection equations over an hypercube. Zbl 0559.65086
Funaro, D.
2
1983
all top 5

Cited by 736 Authors

52 Guo, Ben-Yu
31 Funaro, Daniele
27 Wang, Zhongqing
25 Wang, Tianjun
19 Bhrawy, Ali Hassan
16 Parand, Kourosh
15 Wang, Lilian
13 Zingg, David W.
12 Doha, Eid H.
11 Heinrichs, Wilhelm
11 Karniadakis, George Em
10 Dehghan Takht Fooladi, Mehdi
10 Shen, Jie
9 Fatone, Lorella
8 Băleanu, Dumitru I.
8 Maday, Yvon
8 Pavarino, Luca Franco
8 Zhang, Chao
7 Abd-Elhameed, Waleed Mohamed
7 Manzini, Gianmarco
7 Teng, Chun-Hao
7 Yu, Xuhong
6 Bernardi, Christine
6 Gottlieb, David I.
6 Hesthaven, Jan S.
6 Li, Huiyuan
6 Zampieri, Elena
5 Brown, David A.
5 Delkhosh, Mehdi
5 Elgindy, Kareem T.
5 Hafez, Ramy Mahmoud
5 Javidi, Mohammad
5 Quarteroni, Alfio M.
5 Sun, Tao
5 Taha, Taha M.
5 Taşeli, Hasan
4 Ahmadi-Asl, Salman
4 Alici, Haydar
4 Canuto, Claudio
4 Del Rey Fernández, David C.
4 Gobet, Emmanuel
4 Gu, Dongqin
4 Jia, Hongli
4 Jiao, Yujian
4 Rezaei, Ahmad Reza
4 Sacchi Landriani, Giovanni
4 Yi, Lijun
4 Zhang, Xiaoyong
3 Aminataei, Azim
3 Barone, Matthew F.
3 Bergeon, Alain
3 Berrut, Jean-Paul
3 Bojdi, Z. Kalateh
3 Cai, Wei
3 Chai, Guo
3 Delzanno, Gian Luca
3 Esmaeili, Shahrokh
3 Filbet, Francis
3 Hicken, Jason E.
3 Houzeaux, Guillaume
3 Kalashnikova, Irina
3 Karátson, János
3 Khader, Mohamed M.
3 Kim, Sangdong
3 Li, Yung-Ta
3 Liu, Wen-Jie
3 Ma, Heping
3 Mandal, Bankim C.
3 Mattsson, Ken
3 Nordström, Jan
3 Parumasur, Nabendra
3 Pasquetti, Richard
3 Pirkhedri, A.
3 Razzaghi, Mohsen
3 Scarabel, Francesca
3 Shindin, Sergey Konstantinovich
3 Vazquez, Mariano
3 Vermiglio, Rossana
3 Xu, Chenglong
3 Youssri, Youssri H.
3 Zhuang, Qingqu
2 Aguirre Estibalez, Julián
2 Alofi, Abdulaziz Saleem Moslem
2 Anh, Vo V.
2 Averbuch, Amir Z.
2 Barrio, Roberto
2 Beskok, Ali
2 Bessemoulin-Chatard, Marianne
2 Bialecki, Bernard
2 Bihun, Oksana
2 Boom, Pieter D.
2 Borhanifar, Abdollah
2 Bourgey, Florian
2 Bowers, Kenneth L.
2 Cajas, Juan Carlos
2 Carpenter, Mark H.
2 Chang, Hung-Chun
2 Dauge, Monique
2 Dautov, Rafail Z.
2 De l’Isle, François
...and 636 more Authors
all top 5

Cited in 127 Serials

61 Journal of Computational Physics
51 Journal of Scientific Computing
38 Journal of Computational and Applied Mathematics
38 Applied Numerical Mathematics
31 Computer Methods in Applied Mechanics and Engineering
26 Applied Mathematics and Computation
23 Mathematics of Computation
20 Computers & Mathematics with Applications
17 International Journal of Computer Mathematics
12 SIAM Journal on Scientific Computing
11 Advances in Computational Mathematics
10 Mathematical Methods in the Applied Sciences
9 Numerische Mathematik
9 Applied Mathematical Modelling
8 Computers and Fluids
8 Computer Physics Communications
8 Calcolo
8 Numerical Algorithms
7 Communications in Nonlinear Science and Numerical Simulation
6 International Journal for Numerical Methods in Engineering
6 Abstract and Applied Analysis
5 Journal of Mathematical Analysis and Applications
5 Mathematics and Computers in Simulation
5 Numerical Methods for Partial Differential Equations
5 Engineering Analysis with Boundary Elements
4 BIT
4 Physics of Fluids
4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 S\(\vec{\text{e}}\)MA Journal
3 International Journal for Numerical Methods in Fluids
3 Applied Mathematics and Mechanics. (English Edition)
3 Applications of Mathematics
3 International Journal of Numerical Methods for Heat & Fluid Flow
3 Mathematical Problems in Engineering
3 Mathematical Modelling and Analysis
3 Advances in Difference Equations
3 Discrete and Continuous Dynamical Systems. Series S
3 East Asian Journal on Applied Mathematics
3 Communications on Applied Mathematics and Computation
2 Chaos, Solitons and Fractals
2 Meccanica
2 SIAM Journal on Numerical Analysis
2 RAIRO. Modélisation Mathématique et Analyse Numérique
2 Acta Mathematicae Applicatae Sinica. English Series
2 Applied Mathematics Letters
2 Mathematical and Computer Modelling
2 Journal of Integral Equations and Applications
2 Applied and Computational Harmonic Analysis
2 Journal of Mathematical Chemistry
2 Vietnam Journal of Mathematics
2 Fractional Calculus & Applied Analysis
2 Living Reviews in Relativity
2 Nonlinear Analysis. Modelling and Control
2 Discrete and Continuous Dynamical Systems. Series B
2 Journal of Applied Mathematics and Computing
2 Advances in Mathematical Physics
2 Mathematical Sciences
2 SIAM/ASA Journal on Uncertainty Quantification
2 Journal of Linear and Topological Algebra
2 International Journal of Applied and Computational Mathematics
1 Applicable Analysis
1 Classical and Quantum Gravity
1 International Journal of Control
1 International Journal of Theoretical Physics
1 Journal of Fluid Mechanics
1 Journal of Mathematical Physics
1 Physics Letters. A
1 Rocky Mountain Journal of Mathematics
1 Automatica
1 Collectanea Mathematica
1 Computing
1 Duke Mathematical Journal
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Approximation Theory
1 Chinese Annals of Mathematics. Series B
1 Acta Applicandae Mathematicae
1 Journal of Computational Mathematics
1 Neural Computation
1 Linear Algebra and its Applications
1 Russian Mathematics
1 Applied Mathematics. Series B (English Edition)
1 Communications in Numerical Methods in Engineering
1 Computational and Applied Mathematics
1 Journal of the Egyptian Mathematical Society
1 Annals of Mathematics and Artificial Intelligence
1 Mathematics and Mechanics of Solids
1 International Journal of Computational Fluid Dynamics
1 Differential Equations and Dynamical Systems
1 Nonlinear Dynamics
1 Taiwanese Journal of Mathematics
1 Algebras and Representation Theory
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Journal of Mathematical Study
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 Optimization and Engineering
1 Lobachevskii Journal of Mathematics
1 International Journal of Modern Physics C
1 Journal of Nonlinear Mathematical Physics
1 Nonlinear Analysis. Real World Applications
1 Archives of Computational Methods in Engineering
...and 27 more Serials
all top 5

Cited in 39 Fields

483 Numerical analysis (65-XX)
225 Partial differential equations (35-XX)
107 Fluid mechanics (76-XX)
88 Ordinary differential equations (34-XX)
60 Approximations and expansions (41-XX)
58 Special functions (33-XX)
23 Mechanics of deformable solids (74-XX)
21 Integral equations (45-XX)
19 Statistical mechanics, structure of matter (82-XX)
18 Harmonic analysis on Euclidean spaces (42-XX)
15 Optics, electromagnetic theory (78-XX)
14 Biology and other natural sciences (92-XX)
11 Probability theory and stochastic processes (60-XX)
10 Real functions (26-XX)
10 Dynamical systems and ergodic theory (37-XX)
10 Classical thermodynamics, heat transfer (80-XX)
9 Calculus of variations and optimal control; optimization (49-XX)
6 Operator theory (47-XX)
6 Statistics (62-XX)
6 Operations research, mathematical programming (90-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Potential theory (31-XX)
5 Functional analysis (46-XX)
5 Computer science (68-XX)
5 Quantum theory (81-XX)
5 Astronomy and astrophysics (85-XX)
4 Functions of a complex variable (30-XX)
4 Relativity and gravitational theory (83-XX)
4 Geophysics (86-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Systems theory; control (93-XX)
2 General and overarching topics; collections (00-XX)
1 Associative rings and algebras (16-XX)
1 Measure and integration (28-XX)
1 Sequences, series, summability (40-XX)
1 General topology (54-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Mechanics of particles and systems (70-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year