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Author ID: funaro.daniele Recent zbMATH articles by "Funaro, Daniele"
Published as: Funaro, Daniele; Funaro, D.
Documents Indexed: 62 Publications since 1983, including 3 Books
Co-Authors: 24 Co-Authors with 27 Joint Publications
645 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

48 Publications have been cited 687 times in 499 Documents Cited by Year
Polynomial approximation of differential equations. Zbl 0774.41010
Funaro, Daniele
156
1992
Approximation of some diffusion evolution equations in unbounded domains by Hermite functions. Zbl 0764.35007
Funaro, Daniele; Kavian, Otared
67
1991
An iterative procedure with interface relaxation for domain decomposition methods. Zbl 0678.65082
Funaro, Daniele; Quarteroni, Alfio; Zanolli, Paola
58
1988
A new method of imposing boundary conditions in pseudospectral approximations of hyperbolic equations. Zbl 0699.65079
Funaro, D.; Gottlieb, D.
48
1988
Laguerre spectral approximation of elliptic problems in exterior domains. Zbl 0734.73090
Coulaud, Olivier; Funaro, Daniele; Kavian, Otared
47
1990
Computational aspects of pseudospectral Laguerre approximations. Zbl 0708.65072
Funaro, Daniele
29
1990
Spectral elements for transport-dominated equations. Zbl 0891.65118
Funaro, Daniele
28
1997
The Schwarz algorithm for spectral methods. Zbl 0642.65076
Canuto, C.; Funaro, D.
26
1988
Convergence results for pseudospectral approximations of hyperbolic systems by a penalty-type boundary treatment. Zbl 0736.65074
Funaro, Daniele; Gottlieb, David
25
1991
A multidomain spectral approximation of elliptic equations. Zbl 0622.65104
Funaro, Daniele
20
1986
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
Some results about the pseudospectral approximation of one-dimensional fourth-order problems. Zbl 0714.65074
Funaro, Daniele; Heinrichs, Wilhelm
16
1990
A preconditioning matrix for the Chebyshev differencing operator. Zbl 0635.65018
Funaro, Daniele
13
1987
A new scheme for the approximation of advection-diffusion equations by collocation. Zbl 0796.65120
Funaro, Daniele
12
1993
Domain decomposition methods for pseudo spectral approximations. I. Second order equations in one dimension. Zbl 0637.65077
Funaro, Daniele
11
1988
Convergence of spectral discretizations of the Vlasov-Poisson system. Zbl 1375.65118
Manzini, G.; Funaro, D.; Delzanno, G. L.
7
2017
Electromagnetism and the structure of matter. Zbl 1170.78001
Funaro, Daniele
7
2008
A variational formulation for the Chebyshev pseudospectral approximation of Neumann problems. Zbl 0702.65090
Funaro, Daniele
7
1990
Spline approximation of advection-diffusion problems using upwind type collocation nodes. Zbl 0938.65100
Funaro, Daniele; Pontrelli, Giuseppe
6
1999
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
5
2019
Finite-difference schemes for transport-dominated equations using special collocation nodes. Zbl 1079.65105
Fatone, Lorella; Funaro, Daniele; Giova, Rafaella
4
2005
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
Arbitrary-order time-accurate semi-Lagrangian spectral approximations of the Vlasov-Poisson system. Zbl 1451.65155
Fatone, L.; Funaro, D.; Manzini, G.
4
2019
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
Some remarks about the collocation method on a modified Legendre grid. Zbl 0868.65049
Funaro, D.
3
1997
Computing the inverse of the Chebyshev collocation derivative. Zbl 0662.65024
Funaro, Daniele
3
1988
A superconsistent Chebyshev collocation method for second-order differential operators. Zbl 0991.65071
Funaro, Daniele
3
2001
A general class of finite-difference methods for the linear transport equation. Zbl 1092.65070
Funaro, Daniele; Pontrelli, Giuseppe
3
2005
Superconsistent discretizations. Zbl 0999.65073
Funaro, Daniele
3
2002
Finite-difference preconditioners for superconsistent pseudospectral approximations. Zbl 1133.65103
Fatone, Lorella; Funaro, Daniele; Scannavini, Valentina
3
2007
A note on second-order finite-difference schemes on uniform meshes for advection-diffusion equations. Zbl 0938.65101
Funaro, Daniele
2
1999
Rotating electromagnetic waves in toroid-shaped regions. Zbl 1193.78005
Chinosi, Claudia; Della Croce, Lucia; Funaro, Daniele
2
2010
Approximation by the Legendre collocation method of a model problem in electrophysiology. Zbl 0762.65076
Funaro, Daniele
2
1992
Some results about the spectrum of the Chebyshev differencing operator. Zbl 0609.65081
Funaro, Daniele
2
1987
Error estimates for spectral approximation of linear advection equations over an hypercube. Zbl 0559.65086
Funaro, D.
2
1983
A convergence analysis for the superconsistent Chebyshev method. Zbl 1147.65319
Fatone, Lorella; Funaro, Daniele; Yoon, Gang Joon
2
2007
Superconsistent discretizations of integral type equations. Zbl 1036.65113
Funaro, Daniele
2
2004
Approximation of advection-diffusion problems by a modified Legendre grid. Zbl 0875.76330
Funaro, D.; Russo, A.
2
1993
Charging capacitors according to Maxwell’s equations: impossible. Zbl 1329.78023
Funaro, Daniele
1
2014
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
Superconsistent discretizations with application to hyperbolic equation. Zbl 1032.65092
Funaro, Daniele
1
2003
Stability and conservation properties of Hermite-based approximations of the Vlasov-Poisson system. Zbl 1486.65193
Funaro, Daniele; Manzini, Gianmarco
1
2021
Improving the performances of implicit schemes for hyperbolic equations. Zbl 0908.65080
Funaro, Daniele
1
1997
On the use of Hermite functions for the Vlasov-Poisson system. Zbl 1484.65247
Fatone, Lorella; Funaro, Daniele; Manzini, Gianmarco
1
2020
Stability and conservation properties of Hermite-based approximations of the Vlasov-Poisson system. Zbl 1486.65193
Funaro, Daniele; Manzini, Gianmarco
1
2021
On the use of Hermite functions for the Vlasov-Poisson system. Zbl 1484.65247
Fatone, Lorella; Funaro, Daniele; Manzini, Gianmarco
1
2020
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
5
2019
Arbitrary-order time-accurate semi-Lagrangian spectral approximations of the Vlasov-Poisson system. Zbl 1451.65155
Fatone, L.; Funaro, D.; Manzini, G.
4
2019
Convergence of spectral discretizations of the Vlasov-Poisson system. Zbl 1375.65118
Manzini, G.; Funaro, D.; Delzanno, G. L.
7
2017
Optimal collocation nodes for fractional derivative operators. Zbl 1328.65252
Fatone, L.; Funaro, D.
6
2015
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
2
2010
Electromagnetism and the structure of matter. Zbl 1170.78001
Funaro, Daniele
7
2008
Finite-difference preconditioners for superconsistent pseudospectral approximations. Zbl 1133.65103
Fatone, Lorella; Funaro, Daniele; Scannavini, Valentina
3
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
4
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
1
2003
Superconsistent discretizations. Zbl 0999.65073
Funaro, Daniele
3
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
6
1999
A note on second-order finite-difference schemes on uniform meshes for advection-diffusion equations. Zbl 0938.65101
Funaro, Daniele
2
1999
Spectral elements for transport-dominated equations. Zbl 0891.65118
Funaro, Daniele
28
1997
Some remarks about the collocation method on a modified Legendre grid. Zbl 0868.65049
Funaro, D.
3
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
12
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
156
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
67
1991
Convergence results for pseudospectral approximations of hyperbolic systems by a penalty-type boundary treatment. Zbl 0736.65074
Funaro, Daniele; Gottlieb, David
25
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
47
1990
Computational aspects of pseudospectral Laguerre approximations. Zbl 0708.65072
Funaro, Daniele
29
1990
Some results about the pseudospectral approximation of one-dimensional fourth-order problems. Zbl 0714.65074
Funaro, Daniele; Heinrichs, Wilhelm
16
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
58
1988
A new method of imposing boundary conditions in pseudospectral approximations of hyperbolic equations. Zbl 0699.65079
Funaro, D.; Gottlieb, D.
48
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
13
1987
Some results about the spectrum of the Chebyshev differencing operator. Zbl 0609.65081
Funaro, Daniele
2
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 640 Authors

47 Guo, Ben-Yu
29 Funaro, Daniele
25 Wang, Zhongqing
21 Wang, Tianjun
16 Bhrawy, Ali Hassan
15 Parand, Kourosh
13 Wang, Lilian
11 Zingg, David W.
10 Heinrichs, Wilhelm
10 Karniadakis, George Em
9 Doha, Eid H.
9 Shen, Jie
8 Băleanu, Dumitru I.
8 Dehghan Takht Fooladi, Mehdi
8 Fatone, Lorella
8 Maday, Yvon
8 Pavarino, Luca Franco
8 Zhang, Chao
7 Teng, Chun-Hao
6 Bernardi, Christine
6 Li, Huiyuan
6 Manzini, Gianmarco
6 Yu, Xuhong
6 Zampieri, Elena
5 Brown, David A.
5 Hafez, Ramy Mahmoud
5 Hesthaven, Jan S.
5 Hicken, Jason E.
5 Javidi, Mohammad
5 Quarteroni, Alfio M.
5 Sun, Tao
5 Taha, Taha M.
4 Abd-Elhameed, Waleed Mohamed
4 Canuto, Claudio
4 Delkhosh, Mehdi
4 Elgindy, Kareem T.
4 Rezaei, Ahmad Reza
4 Sacchi Landriani, Giovanni
4 Taşeli, Hasan
3 Alici, Haydar
3 Barone, Matthew F.
3 Bergeon, Alain
3 Berrut, Jean-Paul
3 Del Rey Fernández, David C.
3 Esmaeili, Shahrokh
3 Gobet, Emmanuel
3 Gottlieb, David I.
3 Gu, Dongqin
3 Houzeaux, Guillaume
3 Jiao, Yujian
3 Kalashnikova, Irina
3 Li, Yung-Ta
3 Ma, Heping
3 Mattsson, Ken
3 Parumasur, Nabendra
3 Pasquetti, Richard
3 Razzaghi, Mohsen
3 Scarabel, Francesca
3 Shindin, Sergey Konstantinovich
3 Vazquez, Mariano
3 Vermiglio, Rossana
3 Xu, Chenglong
3 Yi, Lijun
3 Zhang, Xiaoyong
3 Zhuang, Qingqu
2 Aguirre Estibalez, Julián
2 Ahmadi-Asl, Salman
2 Aminataei, Azim
2 Anh, Vo V.
2 Averbuch, Amir Z.
2 Beskok, Ali
2 Bialecki, Bernard
2 Bojdi, Z. Kalateh
2 Boom, Pieter D.
2 Borhanifar, Abdollah
2 Bowers, Kenneth L.
2 Cai, Wei
2 Cajas, Juan Carlos
2 Chai, Guo
2 Chang, Hung-Chun
2 Dauge, Monique
2 Dehghan, Reza
2 Deng, Dingwen
2 Deville, Michel O.
2 Diekmann, Odo
2 Ditkowski, Adi
2 Eguzkitza, Beatriz
2 El-Daou, Mohamed K.
2 Elbarbary, Elsayed M. E. M.
2 Elleithy, Wael M.
2 Esfahanian, Vahid
2 Fan, Kai
2 Filbet, Francis
2 Gander, Martin Jakob
2 Ghaderi, S. M.
2 Guo, Benqi
2 Gyllenberg, Mats
2 Hejranfar, Kazem
2 Israeli, Moshe
2 Ji, Xia
...and 540 more Authors
all top 5

Cited in 113 Serials

47 Journal of Scientific Computing
46 Journal of Computational Physics
36 Journal of Computational and Applied Mathematics
35 Applied Numerical Mathematics
24 Computer Methods in Applied Mechanics and Engineering
23 Mathematics of Computation
21 Applied Mathematics and Computation
13 Computers & Mathematics with Applications
13 International Journal of Computer Mathematics
12 SIAM Journal on Scientific Computing
11 Advances in Computational Mathematics
9 Mathematical Methods in the Applied Sciences
9 Numerische Mathematik
7 Computers and Fluids
7 Calcolo
7 Numerical Algorithms
7 Communications in Nonlinear Science and Numerical Simulation
6 International Journal for Numerical Methods in Engineering
6 Applied Mathematical Modelling
6 Abstract and Applied Analysis
5 Journal of Mathematical Analysis and Applications
5 Numerical Methods for Partial Differential Equations
5 Engineering Analysis with Boundary Elements
4 Computer Physics Communications
4 BIT
4 Physics of Fluids
4 S\(\vec{\text{e}}\)MA Journal
3 International Journal for Numerical Methods in Fluids
3 Applied Mathematics and Mechanics. (English Edition)
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 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
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 RAIRO. Modélisation Mathématique et Analyse Numérique
2 Acta Mathematicae Applicatae Sinica. English Series
2 Mathematical and Computer Modelling
2 Journal of Integral Equations and Applications
2 Applications of Mathematics
2 Applied and Computational Harmonic Analysis
2 Vietnam Journal of Mathematics
2 Fractional Calculus & Applied Analysis
2 Living Reviews in Relativity
2 Nonlinear Analysis. Modelling and Control
2 Journal of Applied Mathematics and Computing
2 Advances in Mathematical Physics
2 Mathematical Sciences
1 Applicable Analysis
1 Classical and Quantum Gravity
1 International Journal of Control
1 Journal of Fluid Mechanics
1 Journal of Mathematical Physics
1 Rocky Mountain Journal of Mathematics
1 Collectanea Mathematica
1 Computing
1 Duke Mathematical Journal
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Approximation Theory
1 Mathematics and Computers in Simulation
1 SIAM Journal on Numerical Analysis
1 Chinese Annals of Mathematics. Series B
1 Acta Applicandae Mathematicae
1 Applied Mathematics Letters
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 Journal of Mathematical Chemistry
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 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 Optimization and Engineering
1 International Journal of Modern Physics C
1 Nonlinear Analysis. Real World Applications
1 Archives of Computational Methods in Engineering
1 Discrete and Continuous Dynamical Systems. Series B
1 Computational Methods in Applied Mathematics
1 Decisions in Economics and Finance
1 Journal of Applied Mathematics
1 Communications on Pure and Applied Analysis
1 International Journal of Computational Methods
1 Journal of Computational Acoustics
1 Proyecciones
1 Mathematics in Computer Science
1 Communications in Computational Physics
1 Journal of Nonlinear Science and Applications
1 SIAM Journal on Financial Mathematics
...and 13 more Serials
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Cited in 37 Fields

412 Numerical analysis (65-XX)
206 Partial differential equations (35-XX)
84 Fluid mechanics (76-XX)
78 Ordinary differential equations (34-XX)
47 Approximations and expansions (41-XX)
41 Special functions (33-XX)
21 Mechanics of deformable solids (74-XX)
19 Integral equations (45-XX)
17 Statistical mechanics, structure of matter (82-XX)
15 Harmonic analysis on Euclidean spaces (42-XX)
13 Biology and other natural sciences (92-XX)
12 Optics, electromagnetic theory (78-XX)
10 Real functions (26-XX)
9 Dynamical systems and ergodic theory (37-XX)
8 Probability theory and stochastic processes (60-XX)
8 Classical thermodynamics, heat transfer (80-XX)
7 Calculus of variations and optimal control; optimization (49-XX)
6 Operator theory (47-XX)
6 Operations research, mathematical programming (90-XX)
5 Functional analysis (46-XX)
5 Statistics (62-XX)
5 Quantum theory (81-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Astronomy and astrophysics (85-XX)
3 General and overarching topics; collections (00-XX)
3 Functions of a complex variable (30-XX)
3 Potential theory (31-XX)
3 Computer science (68-XX)
3 Relativity and gravitational theory (83-XX)
3 Geophysics (86-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Systems theory; control (93-XX)
1 Measure and integration (28-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