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## Funaro, Daniele

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 Author ID: funaro.daniele Published as: Funaro, Daniele; Funaro, D.
 Documents Indexed: 55 Publications since 1983, including 3 Books
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#### Co-Authors

 31 single-authored 7 Fatone, Lorella 3 Manzini, Gianmarco 2 Kavian, Otared 2 Pontrelli, Giuseppe 1 Bertoluzza, Silvia 1 Boffi, Daniele 1 Canuto, Claudio 1 Chinosi, Claudia 1 Comincioli, Valeriano 1 Coulaud, Olivier 1 de Veronico, C. 1 Della Croce, Lucia 1 Delzanno, Gian Luca 1 Giangi, Marilena 1 Giova, Rafaella 1 Heinrichs, Wilhelm 1 Mansutti, Daniela 1 Quarteroni, Alfio M. 1 Reali, G. C. 1 Scannavini, Valentina 1 Torelli, Alessandro 1 Yoon, Gangjoon 1 Zanolli, Paola
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#### Serials

 6 SIAM Journal on Numerical Analysis 6 Journal of Scientific Computing 4 Applied Numerical Mathematics 4 Numerical Methods for Partial Differential Equations 3 Mathematics of Computation 2 Computer Methods in Applied Mechanics and Engineering 2 Applied Mathematics and Computation 2 Journal of Computational and Applied Mathematics 2 Numerische Mathematik 1 Computers & Mathematics with Applications 1 IMA Journal of Numerical Analysis 1 Journal of Computational Physics 1 Calcolo 1 SIAM Journal on Scientific and Statistical Computing 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Applied Mathematics Letters 1 Numerical Algorithms 1 SIAM Journal on Scientific Computing 1 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki 1 International Journal of Modern Physics C 1 Communications in Mathematical Sciences 1 Annales de la Fondation Louis de Broglie 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Lecture Notes in Physics. New Series m: Monographs 1 Lecture Notes in Computational Science and Engineering 1 Communications on Applied Mathematics and Computation
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#### Fields

 49 Numerical analysis (65-XX) 31 Partial differential equations (35-XX) 11 Ordinary differential equations (34-XX) 6 Optics, electromagnetic theory (78-XX) 5 Fluid mechanics (76-XX) 3 Approximations and expansions (41-XX) 2 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Mechanics of deformable solids (74-XX) 2 Biology and other natural sciences (92-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH Open

44 Publications have been cited 630 times in 460 Documents Cited by Year
Polynomial approximation of differential equations. Zbl 0774.41010
Funaro, Daniele
1992
Approximation of some diffusion evolution equations in unbounded domains by Hermite functions. Zbl 0764.35007
Funaro, Daniele; Kavian, Otared
1991
An iterative procedure with interface relaxation for domain decomposition methods. Zbl 0678.65082
Funaro, Daniele; Quarteroni, Alfio; Zanolli, Paola
1988
A new method of imposing boundary conditions in pseudospectral approximations of hyperbolic equations. Zbl 0699.65079
Funaro, D.; Gottlieb, D.
1988
Laguerre spectral approximation of elliptic problems in exterior domains. Zbl 0734.73090
Coulaud, Olivier; Funaro, Daniele; Kavian, Otared
1990
Computational aspects of pseudospectral Laguerre approximations. Zbl 0708.65072
Funaro, Daniele
1990
Spectral elements for transport-dominated equations. Zbl 0891.65118
Funaro, Daniele
1997
The Schwarz algorithm for spectral methods. Zbl 0642.65076
Canuto, C.; Funaro, D.
1988
Convergence results for pseudospectral approximations of hyperbolic systems by a penalty-type boundary treatment. Zbl 0736.65074
Funaro, Daniele; Gottlieb, David
1991
A multidomain spectral approximation of elliptic equations. Zbl 0622.65104
Funaro, Daniele
1986
Estimates of Laguerre spectral projectors in Sobolev spaces. Zbl 0842.46017
Funaro, Daniele
1991
Remarks about the matrices relative to the pseudospectral approximation of Neumann problems. Zbl 0785.65087
Bertoluzza, S.; Funaro, D.
1992
Some results about the pseudospectral approximation of one-dimensional fourth-order problems. Zbl 0714.65074
Funaro, Daniele; Heinrichs, Wilhelm
1990
A preconditioning matrix for the Chebyshev differencing operator. Zbl 0635.65018
Funaro, Daniele
1987
A new scheme for the approximation of advection-diffusion equations by collocation. Zbl 0796.65120
Funaro, Daniele
1993
Domain decomposition methods for pseudo spectral approximations. I. Second order equations in one dimension. Zbl 0637.65077
Funaro, Daniele
1988
A variational formulation for the Chebyshev pseudospectral approximation of Neumann problems. Zbl 0702.65090
Funaro, Daniele
1990
Spline approximation of advection-diffusion problems using upwind type collocation nodes. Zbl 0938.65100
Funaro, Daniele; Pontrelli, Giuseppe
1999
Optimal collocation nodes for fractional derivative operators. Zbl 1328.65252
Fatone, L.; Funaro, D.
2015
Finite-difference schemes for transport-dominated equations using special collocation nodes. Zbl 1079.65105
Fatone, Lorella; Funaro, Daniele; Giova, Rafaella
2005
Pseudospectral approximation of a PDE defined on a triangle. Zbl 0728.65092
Funaro, Daniele
1991
Some remarks about the collocation method on a modified Legendre grid. Zbl 0868.65049
Funaro, D.
1997
A superconsistent Chebyshev collocation method for second-order differential operators. Zbl 0991.65071
Funaro, Daniele
2001
Superconsistent discretizations. Zbl 0999.65073
Funaro, Daniele
2002
Computing the inverse of the Chebyshev collocation derivative. Zbl 0662.65024
Funaro, Daniele
1988
Finite-difference preconditioners for superconsistent pseudospectral approximations. Zbl 1133.65103
Fatone, Lorella; Funaro, Daniele; Scannavini, Valentina
2007
Electromagnetism and the structure of matter. Zbl 1170.78001
Funaro, Daniele
2008
A general class of finite-difference methods for the linear transport equation. Zbl 1092.65070
Funaro, Daniele; Pontrelli, Giuseppe
2005
Approximation of advection-diffusion problems by a modified Legendre grid. Zbl 0875.76330
Funaro, D.; Russo, A.
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.
1993
A note on second-order finite-difference schemes on uniform meshes for advection-diffusion equations. Zbl 0938.65101
Funaro, Daniele
1999
Convergence of spectral discretizations of the Vlasov-Poisson system. Zbl 1375.65118
Manzini, G.; Funaro, D.; Delzanno, G. L.
2017
Approximation by the Legendre collocation method of a model problem in electrophysiology. Zbl 0762.65076
Funaro, Daniele
1992
Superconsistent discretizations of integral type equations. Zbl 1036.65113
Funaro, Daniele
2004
Error estimates for spectral approximation of linear advection equations over an hypercube. Zbl 0559.65086
Funaro, D.
1983
Analysis of the DuFort-Frankel method for linear systems. Zbl 0578.65023
Funaro, Daniele
1985
Some results about the spectrum of the Chebyshev differencing operator. Zbl 0609.65081
Funaro, Daniele
1987
A convergence analysis for the superconsistent Chebyshev method. Zbl 1147.65319
Fatone, Lorella; Funaro, Daniele; Yoon, Gang Joon
2007
A fast solver for elliptic boundary-value problems in the square. Zbl 0820.65076
Funaro, Daniele
1994
Improving the performances of implicit schemes for hyperbolic equations. Zbl 0908.65080
Funaro, Daniele
1997
An alternative approach to the analysis and the approximation of the Navier-Stokes equations. Zbl 0806.76056
Boffi, D.; Funaro, D.
1994
Superconsistent discretizations with application to hyperbolic equation. Zbl 1032.65092
Funaro, Daniele
2003
Rotating electromagnetic waves in toroid-shaped regions. Zbl 1193.78005
Chinosi, Claudia; Della Croce, Lucia; Funaro, Daniele
2010
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
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
2019
Convergence of spectral discretizations of the Vlasov-Poisson system. Zbl 1375.65118
Manzini, G.; Funaro, D.; Delzanno, G. L.
2017
Optimal collocation nodes for fractional derivative operators. Zbl 1328.65252
Fatone, L.; Funaro, D.
2015
Rotating electromagnetic waves in toroid-shaped regions. Zbl 1193.78005
Chinosi, Claudia; Della Croce, Lucia; Funaro, Daniele
2010
Electromagnetism and the structure of matter. Zbl 1170.78001
Funaro, Daniele
2008
Finite-difference preconditioners for superconsistent pseudospectral approximations. Zbl 1133.65103
Fatone, Lorella; Funaro, Daniele; Scannavini, Valentina
2007
A convergence analysis for the superconsistent Chebyshev method. Zbl 1147.65319
Fatone, Lorella; Funaro, Daniele; Yoon, Gang Joon
2007
Finite-difference schemes for transport-dominated equations using special collocation nodes. Zbl 1079.65105
Fatone, Lorella; Funaro, Daniele; Giova, Rafaella
2005
A general class of finite-difference methods for the linear transport equation. Zbl 1092.65070
Funaro, Daniele; Pontrelli, Giuseppe
2005
Superconsistent discretizations of integral type equations. Zbl 1036.65113
Funaro, Daniele
2004
Superconsistent discretizations with application to hyperbolic equation. Zbl 1032.65092
Funaro, Daniele
2003
Superconsistent discretizations. Zbl 0999.65073
Funaro, Daniele
2002
A superconsistent Chebyshev collocation method for second-order differential operators. Zbl 0991.65071
Funaro, Daniele
2001
Spline approximation of advection-diffusion problems using upwind type collocation nodes. Zbl 0938.65100
Funaro, Daniele; Pontrelli, Giuseppe
1999
A note on second-order finite-difference schemes on uniform meshes for advection-diffusion equations. Zbl 0938.65101
Funaro, Daniele
1999
Spectral elements for transport-dominated equations. Zbl 0891.65118
Funaro, Daniele
1997
Some remarks about the collocation method on a modified Legendre grid. Zbl 0868.65049
Funaro, D.
1997
Improving the performances of implicit schemes for hyperbolic equations. Zbl 0908.65080
Funaro, Daniele
1997
A fast solver for elliptic boundary-value problems in the square. Zbl 0820.65076
Funaro, Daniele
1994
An alternative approach to the analysis and the approximation of the Navier-Stokes equations. Zbl 0806.76056
Boffi, D.; Funaro, D.
1994
A new scheme for the approximation of advection-diffusion equations by collocation. Zbl 0796.65120
Funaro, Daniele
1993
Approximation of advection-diffusion problems by a modified Legendre grid. Zbl 0875.76330
Funaro, D.; Russo, A.
1993
A mathematical model of potential spreading along neuron dendrites of cerebellar granule cells. Zbl 0786.92007
Comincioli, V.; Funaro, D.; Torelli, A.; D&rsquo;Angelo, E.; Rossi, P.
1993
Polynomial approximation of differential equations. Zbl 0774.41010
Funaro, Daniele
1992
Remarks about the matrices relative to the pseudospectral approximation of Neumann problems. Zbl 0785.65087
Bertoluzza, S.; Funaro, D.
1992
Approximation by the Legendre collocation method of a model problem in electrophysiology. Zbl 0762.65076
Funaro, Daniele
1992
Approximation of some diffusion evolution equations in unbounded domains by Hermite functions. Zbl 0764.35007
Funaro, Daniele; Kavian, Otared
1991
Convergence results for pseudospectral approximations of hyperbolic systems by a penalty-type boundary treatment. Zbl 0736.65074
Funaro, Daniele; Gottlieb, David
1991
Estimates of Laguerre spectral projectors in Sobolev spaces. Zbl 0842.46017
Funaro, Daniele
1991
Pseudospectral approximation of a PDE defined on a triangle. Zbl 0728.65092
Funaro, Daniele
1991
Laguerre spectral approximation of elliptic problems in exterior domains. Zbl 0734.73090
Coulaud, Olivier; Funaro, Daniele; Kavian, Otared
1990
Computational aspects of pseudospectral Laguerre approximations. Zbl 0708.65072
Funaro, Daniele
1990
Some results about the pseudospectral approximation of one-dimensional fourth-order problems. Zbl 0714.65074
Funaro, Daniele; Heinrichs, Wilhelm
1990
A variational formulation for the Chebyshev pseudospectral approximation of Neumann problems. Zbl 0702.65090
Funaro, Daniele
1990
An iterative procedure with interface relaxation for domain decomposition methods. Zbl 0678.65082
Funaro, Daniele; Quarteroni, Alfio; Zanolli, Paola
1988
A new method of imposing boundary conditions in pseudospectral approximations of hyperbolic equations. Zbl 0699.65079
Funaro, D.; Gottlieb, D.
1988
The Schwarz algorithm for spectral methods. Zbl 0642.65076
Canuto, C.; Funaro, D.
1988
Domain decomposition methods for pseudo spectral approximations. I. Second order equations in one dimension. Zbl 0637.65077
Funaro, Daniele
1988
Computing the inverse of the Chebyshev collocation derivative. Zbl 0662.65024
Funaro, Daniele
1988
A preconditioning matrix for the Chebyshev differencing operator. Zbl 0635.65018
Funaro, Daniele
1987
Some results about the spectrum of the Chebyshev differencing operator. Zbl 0609.65081
Funaro, Daniele
1987
A multidomain spectral approximation of elliptic equations. Zbl 0622.65104
Funaro, Daniele
1986
Analysis of the DuFort-Frankel method for linear systems. Zbl 0578.65023
Funaro, Daniele
1985
Error estimates for spectral approximation of linear advection equations over an hypercube. Zbl 0559.65086
Funaro, D.
1983
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#### Cited by 587 Authors

 48 Guo, Ben-Yu 24 Funaro, Daniele 22 Wang, Zhongqing 17 Wang, Tianjun 16 Bhrawy, Ali Hassan 15 Parand, Kourosh 12 Wang, Lilian 10 Heinrichs, Wilhelm 10 Zingg, David W. 9 Doha, Eid H. 9 Karniadakis, George Em 9 Shen, Jie 8 Băleanu, Dumitru I. 8 Dehghan Takht Fooladi, Mehdi 8 Maday, Yvon 8 Pavarino, Luca Franco 8 Zhang, Chao 6 Bernardi, Christine 6 Fatone, Lorella 6 Teng, Chun-Hao 6 Zampieri, Elena 5 Brown, David A. 5 Hafez, Ramy Mahmoud 5 Hesthaven, Jan S. 5 Hicken, Jason E. 5 Javidi, Mohammad 5 Li, Huiyuan 5 Quarteroni, Alfio M. 5 Taha, Taha M. 5 Taşeli, Hasan 4 Alici, Haydar 4 Canuto, Claudio 4 Delkhosh, Mehdi 4 Elgindy, Kareem T. 4 Rezaei, Ahmad Reza 4 Sacchi Landriani, Giovanni 4 Yu, Xuhong 4 Zhang, Xiaoyong 3 Abd-Elhameed, Waleed Mohamed 3 Barone, Matthew F. 3 Bergeon, Alain 3 Berrut, Jean-Paul 3 Del Rey Fernández, David C. 3 Esmaeili, Shahrokh 3 Gobet, Emmanuel 3 Gu, Dongqin 3 Jiao, Yujian 3 Kalashnikova, Irina 3 Ma, Heping 3 Manzini, Gianmarco 3 Mattsson, Ken 3 Parumasur, Nabendra 3 Pasquetti, Richard 3 Scarabel, Francesca 3 Shindin, Sergey Konstantinovich 3 Sun, Tao 3 Vermiglio, Rossana 3 Xu, Chenglong 3 Yi, Lijun 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 Bowers, Kenneth L. 2 Cai, Wei 2 Chang, Hung-Chun 2 Dauge, Monique 2 Dehghan, Reza 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 Gander, Martin Jakob 2 Ghaderi, S. M. 2 Guo, Benqi 2 Gyllenberg, Mats 2 Hejranfar, Kazem 2 Houzeaux, Guillaume 2 Israeli, Moshe 2 Ji, Xia 2 Jia, Hongli 2 Kavian, Otared 2 Khabibrakhmanov, Ildar K. 2 Khader, Mohamed M. 2 Kim, Sangdong 2 Kirby, Robert C. 2 Knobloch, Edgar 2 Kondaxakis, Dimitrios 2 Li, Yung-Ta ...and 487 more Authors
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#### Cited in 102 Serials

 44 Journal of Computational Physics 44 Journal of Scientific Computing 33 Journal of Computational and Applied Mathematics 33 Applied Numerical Mathematics 23 Mathematics of Computation 22 Computer Methods in Applied Mechanics and Engineering 21 Applied Mathematics and Computation 13 Computers & Mathematics with Applications 11 SIAM Journal on Scientific Computing 10 Advances in Computational Mathematics 9 Mathematical Methods in the Applied Sciences 9 Numerische Mathematik 8 International Journal of Computer Mathematics 7 Computers and Fluids 7 Calcolo 7 Numerical Algorithms 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 5 Communications in Nonlinear Science and Numerical Simulation 4 Physics of Fluids 4 S$$\vec{\text{e}}$$MA Journal 3 Computer Physics Communications 3 International Journal for Numerical Methods in Fluids 3 BIT 3 Applied Mathematics and Mechanics. (English Edition) 3 International Journal of Numerical Methods for Heat & Fluid Flow 3 Mathematical Problems in Engineering 3 Advances in Difference Equations 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 East Asian Journal on Applied Mathematics 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 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 Journal of Applied Mathematics and Computing 2 Discrete and Continuous Dynamical Systems. Series S 2 Advances in Mathematical Physics 2 Mathematical Sciences 2 Communications on Applied Mathematics and Computation 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 Chaos, Solitons and Fractals 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 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 Differential Equations and Dynamical Systems 1 Nonlinear Dynamics 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 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 Journal of Nonlinear Science and Applications 1 SIAM Journal on Financial Mathematics 1 Acta Universitatis Sapientiae. Mathematica 1 Advances in Numerical Analysis 1 Science China. Mathematics 1 SIAM/ASA Journal on Uncertainty Quantification 1 Journal of Linear and Topological Algebra 1 International Journal of Applied and Computational Mathematics 1 AMM. Applied Mathematics and Mechanics. (English Edition) ...and 2 more Serials
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#### Cited in 34 Fields

 379 Numerical analysis (65-XX) 183 Partial differential equations (35-XX) 75 Ordinary differential equations (34-XX) 75 Fluid mechanics (76-XX) 39 Approximations and expansions (41-XX) 30 Special functions (33-XX) 23 Mechanics of deformable solids (74-XX) 17 Integral equations (45-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 11 Statistical mechanics, structure of matter (82-XX) 11 Biology and other natural sciences (92-XX) 9 Optics, electromagnetic theory (78-XX) 8 Probability theory and stochastic processes (60-XX) 7 Real functions (26-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Operations research, mathematical programming (90-XX) 5 Functional analysis (46-XX) 5 Quantum theory (81-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Operator theory (47-XX) 4 Statistics (62-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 Relativity and gravitational theory (83-XX) 3 Geophysics (86-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Computer science (68-XX) 2 Systems theory; control (93-XX) 1 Measure and integration (28-XX) 1 Information and communication theory, circuits (94-XX)