×

zbMATH — the first resource for mathematics

Canuto, Claudio

Compute Distance To:
Author ID: canuto.claudio Recent zbMATH articles by "Canuto, Claudio"
Published as: Canuto, Claudio; Canuto, C.
Documents Indexed: 115 Publications since 1978, including 19 Books
all top 5

Serials

10 SIAM Journal on Numerical Analysis
8 Computer Methods in Applied Mechanics and Engineering
8 Unitext
7 Numerische Mathematik
5 Journal of Computational Physics
5 Mathematics of Computation
5 Calcolo
3 Computers & Mathematics with Applications
3 IMA Journal of Numerical Analysis
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Computers and Fluids
2 RAIRO. Analyse Numérique
2 Rendiconti del Seminario Matematico
2 Applied Numerical Mathematics
2 Journal of Scientific Computing
2 Applied and Computational Harmonic Analysis
2 Universitext
2 Scientific Computation
1 Journal of Fluid Mechanics
1 Theoretical and Computational Fluid Dynamics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Applied Mathematics and Computation
1 Computing
1 Meccanica
1 SIAM Journal on Control and Optimization
1 Applied Mathematics Letters
1 Linear Algebra and its Applications
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Bollettino della Unione Matemàtica Italiana. Serie VII. A
1 SIAM Journal on Scientific Computing
1 East-West Journal of Numerical Mathematics
1 Advances in Computational Mathematics
1 The Journal of Fourier Analysis and Applications
1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica
1 The Arabian Journal for Science and Engineering. Section C: Theme Issues
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
1 Lecture Notes in Mathematics
1 Quaderni dell’Unione Matematica Italiana
1 Communications in Computational Physics
1 Communications on Applied Mathematics and Computation

Publications by Year

Citations contained in zbMATH Open

87 Publications have been cited 3,273 times in 2,783 Documents Cited by Year
Spectral methods in fluid dynamics. Zbl 0658.76001
Canuto, Claudio; Hussaini, M. Yousuff; Quarteroni, Alfio; Zang, Thomas A.
1988
Spectral methods. Fundamentals in single domains. Zbl 1093.76002
Canuto, Claudio; Hussaini, M. Yousuff; Quarteroni, Alfio; Zang, Thomas A.
771
2006
Spectral methods. Evolution to complex geometries and applications to fluid dynamics. Zbl 1121.76001
Canuto, Claudio; Hussaini, M. Yousuff; Quarteroni, Alfio; Zang, Thomas A.
205
2007
Approximation results for orthogonal polynomials in Sobolev spaces. Zbl 0567.41008
Canuto, C.; Quarteroni, A.
175
1982
Spectral methods in fluid dynamics. 2nd corr. printing. Zbl 0717.76004
Canuto, Claudio; Hussaini, M. Yousuff; Quarteroni, Alfio; Zang, Thomas A.
90
1991
The wavelet element method. I: Construction and analysis. Zbl 0949.42024
Canuto, Claudio; Tabacco, Anita; Urban, Karsten
77
1999
Generalized inf-sup conditions for Chebyshev spectral approximation of the Stokes problem. Zbl 0666.76055
Bernardi, Christine; Canuto, Claudio; Maday, Yvon
53
1988
A fictitious domain approach to the numerical solution of PDEs in stochastic domains. Zbl 1126.65004
Canuto, Claudio; Kozubek, Tomas
44
2007
Parallelism in spectral methods. Zbl 0675.65117
Canuto, C.
43
1988
The wavelet element method. II: Realization and additional features in 2D and 3D. Zbl 0951.42016
Canuto, Claudio; Tabacco, Anita; Urban, Karsten
27
2000
An Eulerian approach to the analysis of Krause’s consensus models. Zbl 1242.93005
Canuto, C.; Fagnani, F.; Tilli, P.
27
2012
The Schwarz algorithm for spectral methods. Zbl 0642.65076
Canuto, C.; Funaro, D.
26
1988
Preconditioned minimal residual methods for Chebyshev spectral calculations. Zbl 0615.65118
Canuto, Claudio; Quarteroni, Alfio
23
1985
Topics in spectral methods for hyperbolic equations. Zbl 0615.65123
Canuto, Claudio
22
1987
Error estimates for spectral and pseudospectral approximations of hyperbolic equations. Zbl 0508.65054
Canuto, C.; Quarteroni, A.
20
1982
Eigenvalue approximations by mixed methods. Zbl 0434.65032
Canuto, C.
20
1978
Spectral and pseudo-spectral methods for parabolic problems with non periodic boundary conditions. Zbl 0485.65078
Canuto, C.; Quarteroni, A.
20
1981
A self-adaptive formulation for the Euler/Navier-Stokes coupling. Zbl 0688.76024
Brezzi, Franco; Canuto, Claudio; Russo, Alessandro
18
1989
Spectral methods for exterior elliptic problems. Zbl 0548.65082
Canuto, C.; Hariharan, S. I.; Lustman, L.
17
1985
Stabilization of spectral methods by finite element bubble functions. Zbl 0826.76056
Canuto, Claudio
17
1994
Combined finite element and spectral approximation of the Navier-Stokes equations. Zbl 0614.76021
Canuto, Claudio; Maday, Yvon; Quarteroni, Alfio
15
1984
Variational methods in the theoretical analysis of spectral approximations. Zbl 0539.65080
Canuto, Claudio; Quarteroni, Alfio
14
1984
On the decay of the inverse of matrices that are sum of Kronecker products. Zbl 1291.65144
Canuto, C.; Simoncini, V.; Verani, M.
14
2014
A posteriori error analysis of the reduced basis method for nonaffine parametrized nonlinear PDEs. Zbl 1195.65155
Canuto, Claudio; Tonn, Timo; Urban, Karsten
14
2009
Analysis of the combined finite element and Fourier interpolation. Zbl 0496.42002
Canuto, C.; Maday, Y.; Quarteroni, A.
13
1982
Finite-element preconditioning of G-NI spectral methods. Zbl 1223.65089
Canuto, Claudio; Gervasio, Paola; Quarteroni, Alfio
13
2010
Multilevel decompositions of functional spaces. Zbl 0896.42023
Canuto, Claudio; Tabacco, Anita
13
1997
BDDC preconditioners for continuous and discontinuous Galerkin methods using spectral/\(hp\) elements with variable local polynomial degree. Zbl 1297.65150
Canuto, Claudio; Pavarino, Luca F.; Pieri, Alexandre B.
12
2014
Boundary conditions in Chebyshev and Legendre methods. Zbl 0616.65114
Canuto, Claudio
11
1986
On the adaptive computation of integrals of wavelets. Zbl 0981.65134
Bertoluzza, Silvia; Canuto, Claudio; Urban, Karsten
11
2000
Stable discretizations of convection-diffusion problems via computable negative-order inner products. Zbl 0974.65104
Bertoluzza, Silvia; Canuto, Claudio; Tabacco, Anita
10
2000
Spectral methods and a maximum principle. Zbl 0699.65080
Canuto, Claudio
9
1988
Bubble-stabilized spectral methods for the incompressible Navier-Stokes equations. Zbl 0894.76057
Canuto, C.; Van Kemenade, V.
9
1996
Un problème variationnel abstrait. Application à une méthode de collocation pour les équations de Stokes. (An abstract variational problem. Application to a collocation method for the Stokes equations). Zbl 0612.49004
Bernardi, Christine; Canuto, Claudio; Maday, Yvon
8
1986
Boundary and interface conditions within a finite element preconditioner for spectral methods. Zbl 0717.65091
Canuto, Claudio; Pietra, Paola
8
1990
Adaptive optimization of convex functionals in Banach spaces. Zbl 1081.65053
Canuto, Claudio; Urban, Karsten
8
2005
Convergence and optimality of \({\mathbf {hp}}\)-AFEM. Zbl 1364.65241
Canuto, Claudio; Nochetto, Ricardo H.; Stevenson, Rob; Verani, Marco
8
2017
Stabilized spectral methods for the Navier-Stokes equations: residual-free bubbles and preconditioning. Zbl 0940.76058
Canuto, Claudio; Russo, Alessandro; van Kemenade, Vincent
7
1998
Bubble stabilization of spectral Legendre methods for the advection-diffusion equation. Zbl 0847.76059
Canuto, Claudio; Puppo, Gabriella
7
1994
Negative norm stabilization of convection-diffusion problems. Zbl 0966.76043
Bertoluzza, S.; Canuto, C.; Tabacco, A.
7
2000
On \(p\)-robust saturation for \(hp\)-AFEM. Zbl 1373.65082
Canuto, Claudio; Nochetto, Ricardo H.; Stevenson, Rob; Verani, Marco
7
2017
Analysis of the Kleiser-Schumann method. Zbl 0623.76019
Canuto, Claudio; Landriani, Giovanni Sacchi
7
1986
Multilevel preconditioning of discontinuous Galerkin spectral element methods. I: Geometrically conforming meshes. Zbl 1353.65119
Brix, Kolja; Campos Pinto, Martin; Canuto, Claudio; Dahmen, Wolfgang
7
2015
A self-adaptive domain decomposition for the viscous/inviscid coupling. I: Burgers equation. Zbl 0768.76041
Arina, Renzo; Canuto, Claudio
6
1993
Multilevel a posteriori error analysis for reaction-convection-diffusion problems. Zbl 1065.65124
Berrone, Stefano; Canuto, Claudio
6
2004
A spectral approach for the stability analysis of turbulent open-channel flows over granular beds. Zbl 1291.76128
Camporeale, C.; Canuto, C.; Ridolfi, L.
5
2012
A wavelet-based adaptive finite element method for advection-diffusion equations. Zbl 0872.65099
Canuto, C.; Cravero, I.
5
1997
Spectral approximations of the Stokes equations with boundary conditions on the pressure. Zbl 0727.76040
Bernardi, Christine; Canuto, Claudio; Maday, Yvon
5
1991
Contraction and optimality properties of an adaptive Legendre-Galerkin method: the multi-dimensional case. Zbl 1325.65151
Canuto, Claudio; Simoncini, Valeria; Verani, Marco
5
2015
On the numerical analysis of adaptive spectral/\(hp\) methods for elliptic problems. Zbl 1271.65143
Canuto, Claudio; Verani, Marco
5
2013
A sweating model for the internal ventilation of a motorcycle helmet. Zbl 1452.76006
Canuto, Claudio; Cimolin, Flavio
5
2011
Approximation of symmetry breaking bifurcations for the Rayleigh convection problem. Zbl 0534.76089
Canuto, Claudio; Fujii, Hiroshi; Quarteroni, Alfio
4
1983
Adaptive Fourier-Galerkin methods. Zbl 1297.65149
Canuto, C.; Nochetto, R. H.; Verani, M.
4
2014
A hybrid finite element method to compute the free vibration frequencies of a clamped plate. Zbl 0462.73049
Canuto, Claudio
4
1981
Numerical solution of elliptic problems by the wavelet element method. Zbl 0968.65094
Canuto, C.; Tabacco, A.; Urban, K.
4
1998
An anistropic functional setting for convection-diffusion problems. Zbl 0993.65129
Canuto, C.; Tabacco, A.
4
2001
Absolute and relative cut-off in adaptive approximation by wavelets. Zbl 1072.42027
Canuto, Claudio; Tabacco, Anita
4
2000
Analysis of the shifted boundary method for the Stokes problem. Zbl 1441.76037
Atallah, Nabil M.; Canuto, Claudio; Scovazzi, Guglielmo
4
2020
Numerical solution of partial differential equations in random domains: an application to wind engineering. Zbl 1364.76153
Canuto, Claudio; Fransos, Davide
4
2009
Contraction and optimality properties of adaptive Legendre-Galerkin methods: the one-dimensional case. Zbl 1350.65118
Canuto, C.; Nochetto, R. H.; Verani, M.
4
2014
On the elliptic-hyperbolic coupling. I: The advection-diffusion equation via the \(\chi\)-formulation. Zbl 0773.76066
Canuto, C.; Russo, A.
3
1993
Biorthogonal wavelets: theory and applications. (Ondine biortogonali: teoria e applicazioni.) Zbl 0935.42020
Canuto, Claudio; Tabacco, Anita
3
1999
Multilevel stabilization of convection-diffusion problems by variable-order inner products. Zbl 0980.65126
Canuto, C.
3
2001
Recent advances in the analysis of Chebyshev and Legendre spectral methods for boundary value problems. Zbl 0566.65084
Canuto, Claudio
3
1984
On the boundary treatment in spectral methods for hyperbolic systems. Zbl 0626.65123
Canuto, Claudio; Quarteroni, Alfio
3
1987
Propriétés d’approximation dans les espaces de Sobolev de systèmes de polynômes orthogonaux. Zbl 0508.65052
Canuto, Claudio; Quarteroni, Alfio
2
1980
Single-grid spectral collocation for the Navier-Stokes equations. Zbl 0701.76034
Bernardi, Christine; Canuto, Claudio; Maday, Yvon; Métivet, Brigitte
2
1990
On the analysis of spectral methods for incompressible flows. Zbl 0780.76058
Canuto, Claudio
2
1988
Stabilized wavelet approximations of the Stokes problem. Zbl 0998.76066
Canuto, Claudio; Masson, Roland
2
2001
Nested dyadic grids associated with Legendre-Gauss-Lobatto grids. Zbl 1331.33014
Brix, Kolja; Canuto, Claudio; Dahmen, Wolfgang
2
2015
Adaptive \(hp\)-FEM for eigenvalue computations. Zbl 1427.65351
Canuto, Claudio
2
2019
Anisotropic wavelets along vector fields and applications to PDE’s. Zbl 1271.42044
Canuto, Claudio; Tabacco, Anita
2
2003
High-order adaptive Galerkin methods. Zbl 1352.65476
Canuto, Claudio; Nochetto, Ricardo H.; Stevenson, Rob; Verani, Marco
2
2015
On the approximation of advection-diffusion problems by high-order methods. Zbl 0813.35077
Canuto, Claudio
1
1993
Self-adaptive coupling of mathematical models and/or numerical methods. Zbl 0801.76087
Canuto, Claudio; Russo, Alessandro
1
1994
A finite element to interpolate symmetric tensors with divergence in \(L^ 2\). Zbl 0508.65051
Canuto, C.
1
1981
Spectral methods for hyperbolic equations. Zbl 0508.65053
Canuto, Claudio; Quarteroni, Alfio
1
1981
A viscous-inviscid coupling under mixed boundary conditions. Zbl 0769.76067
Canuto, C.; Russo, A.
1
1992
Multiscale problems and methods in numerical simulations. Lectures given at the C. I. M. E. summer school, Martina Franca, Italy, September 9–15, 2001. Zbl 1024.00036
Canuto, Claudio (ed.)
1
2003
Analysis of the shifted boundary method for the Poisson problem in domains with corners. Zbl 07369103
Atallah, Nabil M.; Canuto, Claudio; Scovazzi, Guglielmo
1
2021
Mathematical analysis II. Translated from the Italian by Simon Chiossi. 2nd ed. Zbl 1305.26002
Canuto, Claudio; Tabacco, Anita
1
2015
Robust preconditioners for DG-discretizations with arbitrary polynomial degrees. Zbl 1382.65378
Brix, Kolja; Canuto, Claudio; Dahmen, Wolfgang
1
2014
A multi-timestep Robin-Robin domain decomposition method for time dependent advection-diffusion problems. Zbl 1433.65174
Canuto, Claudio; Lo Giudice, Andrea
1
2019
A saturation property for the spectral-Galerkin approximation of a Dirichlet problem in a square. Zbl 1426.65187
Canuto, Claudio; Nochetto, Ricardo H.; Stevenson, Rob P.; Verani, Marco
1
2019
Uncertainty quantification in discrete fracture network models: stochastic fracture transmissivity. Zbl 1443.76210
Berrone, S.; Canuto, C.; Pieraccini, S.; Scialò, S.
1
2015
Adaptive spectral Galerkin methods with dynamic marking. Zbl 1457.65231
Canuto, Claudio; Nochetto, Ricardo H.; Stevenson, Rob; Verani, Marco
1
2016
The second-generation shifted boundary method and its numerical analysis. Zbl 07337837
Atallah, Nabil M.; Canuto, Claudio; Scovazzi, Guglielmo
1
2020
Analysis of the shifted boundary method for the Poisson problem in domains with corners. Zbl 07369103
Atallah, Nabil M.; Canuto, Claudio; Scovazzi, Guglielmo
1
2021
Analysis of the shifted boundary method for the Stokes problem. Zbl 1441.76037
Atallah, Nabil M.; Canuto, Claudio; Scovazzi, Guglielmo
4
2020
The second-generation shifted boundary method and its numerical analysis. Zbl 07337837
Atallah, Nabil M.; Canuto, Claudio; Scovazzi, Guglielmo
1
2020
Adaptive \(hp\)-FEM for eigenvalue computations. Zbl 1427.65351
Canuto, Claudio
2
2019
A multi-timestep Robin-Robin domain decomposition method for time dependent advection-diffusion problems. Zbl 1433.65174
Canuto, Claudio; Lo Giudice, Andrea
1
2019
A saturation property for the spectral-Galerkin approximation of a Dirichlet problem in a square. Zbl 1426.65187
Canuto, Claudio; Nochetto, Ricardo H.; Stevenson, Rob P.; Verani, Marco
1
2019
Convergence and optimality of \({\mathbf {hp}}\)-AFEM. Zbl 1364.65241
Canuto, Claudio; Nochetto, Ricardo H.; Stevenson, Rob; Verani, Marco
8
2017
On \(p\)-robust saturation for \(hp\)-AFEM. Zbl 1373.65082
Canuto, Claudio; Nochetto, Ricardo H.; Stevenson, Rob; Verani, Marco
7
2017
Adaptive spectral Galerkin methods with dynamic marking. Zbl 1457.65231
Canuto, Claudio; Nochetto, Ricardo H.; Stevenson, Rob; Verani, Marco
1
2016
Multilevel preconditioning of discontinuous Galerkin spectral element methods. I: Geometrically conforming meshes. Zbl 1353.65119
Brix, Kolja; Campos Pinto, Martin; Canuto, Claudio; Dahmen, Wolfgang
7
2015
Contraction and optimality properties of an adaptive Legendre-Galerkin method: the multi-dimensional case. Zbl 1325.65151
Canuto, Claudio; Simoncini, Valeria; Verani, Marco
5
2015
Nested dyadic grids associated with Legendre-Gauss-Lobatto grids. Zbl 1331.33014
Brix, Kolja; Canuto, Claudio; Dahmen, Wolfgang
2
2015
High-order adaptive Galerkin methods. Zbl 1352.65476
Canuto, Claudio; Nochetto, Ricardo H.; Stevenson, Rob; Verani, Marco
2
2015
Mathematical analysis II. Translated from the Italian by Simon Chiossi. 2nd ed. Zbl 1305.26002
Canuto, Claudio; Tabacco, Anita
1
2015
Uncertainty quantification in discrete fracture network models: stochastic fracture transmissivity. Zbl 1443.76210
Berrone, S.; Canuto, C.; Pieraccini, S.; Scialò, S.
1
2015
On the decay of the inverse of matrices that are sum of Kronecker products. Zbl 1291.65144
Canuto, C.; Simoncini, V.; Verani, M.
14
2014
BDDC preconditioners for continuous and discontinuous Galerkin methods using spectral/\(hp\) elements with variable local polynomial degree. Zbl 1297.65150
Canuto, Claudio; Pavarino, Luca F.; Pieri, Alexandre B.
12
2014
Adaptive Fourier-Galerkin methods. Zbl 1297.65149
Canuto, C.; Nochetto, R. H.; Verani, M.
4
2014
Contraction and optimality properties of adaptive Legendre-Galerkin methods: the one-dimensional case. Zbl 1350.65118
Canuto, C.; Nochetto, R. H.; Verani, M.
4
2014
Robust preconditioners for DG-discretizations with arbitrary polynomial degrees. Zbl 1382.65378
Brix, Kolja; Canuto, Claudio; Dahmen, Wolfgang
1
2014
On the numerical analysis of adaptive spectral/\(hp\) methods for elliptic problems. Zbl 1271.65143
Canuto, Claudio; Verani, Marco
5
2013
An Eulerian approach to the analysis of Krause’s consensus models. Zbl 1242.93005
Canuto, C.; Fagnani, F.; Tilli, P.
27
2012
A spectral approach for the stability analysis of turbulent open-channel flows over granular beds. Zbl 1291.76128
Camporeale, C.; Canuto, C.; Ridolfi, L.
5
2012
A sweating model for the internal ventilation of a motorcycle helmet. Zbl 1452.76006
Canuto, Claudio; Cimolin, Flavio
5
2011
Finite-element preconditioning of G-NI spectral methods. Zbl 1223.65089
Canuto, Claudio; Gervasio, Paola; Quarteroni, Alfio
13
2010
A posteriori error analysis of the reduced basis method for nonaffine parametrized nonlinear PDEs. Zbl 1195.65155
Canuto, Claudio; Tonn, Timo; Urban, Karsten
14
2009
Numerical solution of partial differential equations in random domains: an application to wind engineering. Zbl 1364.76153
Canuto, Claudio; Fransos, Davide
4
2009
Spectral methods. Evolution to complex geometries and applications to fluid dynamics. Zbl 1121.76001
Canuto, Claudio; Hussaini, M. Yousuff; Quarteroni, Alfio; Zang, Thomas A.
205
2007
A fictitious domain approach to the numerical solution of PDEs in stochastic domains. Zbl 1126.65004
Canuto, Claudio; Kozubek, Tomas
44
2007
Spectral methods. Fundamentals in single domains. Zbl 1093.76002
Canuto, Claudio; Hussaini, M. Yousuff; Quarteroni, Alfio; Zang, Thomas A.
771
2006
Adaptive optimization of convex functionals in Banach spaces. Zbl 1081.65053
Canuto, Claudio; Urban, Karsten
8
2005
Multilevel a posteriori error analysis for reaction-convection-diffusion problems. Zbl 1065.65124
Berrone, Stefano; Canuto, Claudio
6
2004
Anisotropic wavelets along vector fields and applications to PDE’s. Zbl 1271.42044
Canuto, Claudio; Tabacco, Anita
2
2003
Multiscale problems and methods in numerical simulations. Lectures given at the C. I. M. E. summer school, Martina Franca, Italy, September 9–15, 2001. Zbl 1024.00036
Canuto, Claudio
1
2003
An anistropic functional setting for convection-diffusion problems. Zbl 0993.65129
Canuto, C.; Tabacco, A.
4
2001
Multilevel stabilization of convection-diffusion problems by variable-order inner products. Zbl 0980.65126
Canuto, C.
3
2001
Stabilized wavelet approximations of the Stokes problem. Zbl 0998.76066
Canuto, Claudio; Masson, Roland
2
2001
The wavelet element method. II: Realization and additional features in 2D and 3D. Zbl 0951.42016
Canuto, Claudio; Tabacco, Anita; Urban, Karsten
27
2000
On the adaptive computation of integrals of wavelets. Zbl 0981.65134
Bertoluzza, Silvia; Canuto, Claudio; Urban, Karsten
11
2000
Stable discretizations of convection-diffusion problems via computable negative-order inner products. Zbl 0974.65104
Bertoluzza, Silvia; Canuto, Claudio; Tabacco, Anita
10
2000
Negative norm stabilization of convection-diffusion problems. Zbl 0966.76043
Bertoluzza, S.; Canuto, C.; Tabacco, A.
7
2000
Absolute and relative cut-off in adaptive approximation by wavelets. Zbl 1072.42027
Canuto, Claudio; Tabacco, Anita
4
2000
The wavelet element method. I: Construction and analysis. Zbl 0949.42024
Canuto, Claudio; Tabacco, Anita; Urban, Karsten
77
1999
Biorthogonal wavelets: theory and applications. (Ondine biortogonali: teoria e applicazioni.) Zbl 0935.42020
Canuto, Claudio; Tabacco, Anita
3
1999
Stabilized spectral methods for the Navier-Stokes equations: residual-free bubbles and preconditioning. Zbl 0940.76058
Canuto, Claudio; Russo, Alessandro; van Kemenade, Vincent
7
1998
Numerical solution of elliptic problems by the wavelet element method. Zbl 0968.65094
Canuto, C.; Tabacco, A.; Urban, K.
4
1998
Multilevel decompositions of functional spaces. Zbl 0896.42023
Canuto, Claudio; Tabacco, Anita
13
1997
A wavelet-based adaptive finite element method for advection-diffusion equations. Zbl 0872.65099
Canuto, C.; Cravero, I.
5
1997
Bubble-stabilized spectral methods for the incompressible Navier-Stokes equations. Zbl 0894.76057
Canuto, C.; Van Kemenade, V.
9
1996
Stabilization of spectral methods by finite element bubble functions. Zbl 0826.76056
Canuto, Claudio
17
1994
Bubble stabilization of spectral Legendre methods for the advection-diffusion equation. Zbl 0847.76059
Canuto, Claudio; Puppo, Gabriella
7
1994
Self-adaptive coupling of mathematical models and/or numerical methods. Zbl 0801.76087
Canuto, Claudio; Russo, Alessandro
1
1994
A self-adaptive domain decomposition for the viscous/inviscid coupling. I: Burgers equation. Zbl 0768.76041
Arina, Renzo; Canuto, Claudio
6
1993
On the elliptic-hyperbolic coupling. I: The advection-diffusion equation via the \(\chi\)-formulation. Zbl 0773.76066
Canuto, C.; Russo, A.
3
1993
On the approximation of advection-diffusion problems by high-order methods. Zbl 0813.35077
Canuto, Claudio
1
1993
A viscous-inviscid coupling under mixed boundary conditions. Zbl 0769.76067
Canuto, C.; Russo, A.
1
1992
Spectral methods in fluid dynamics. 2nd corr. printing. Zbl 0717.76004
Canuto, Claudio; Hussaini, M. Yousuff; Quarteroni, Alfio; Zang, Thomas A.
90
1991
Spectral approximations of the Stokes equations with boundary conditions on the pressure. Zbl 0727.76040
Bernardi, Christine; Canuto, Claudio; Maday, Yvon
5
1991
Boundary and interface conditions within a finite element preconditioner for spectral methods. Zbl 0717.65091
Canuto, Claudio; Pietra, Paola
8
1990
Single-grid spectral collocation for the Navier-Stokes equations. Zbl 0701.76034
Bernardi, Christine; Canuto, Claudio; Maday, Yvon; Métivet, Brigitte
2
1990
A self-adaptive formulation for the Euler/Navier-Stokes coupling. Zbl 0688.76024
Brezzi, Franco; Canuto, Claudio; Russo, Alessandro
18
1989
Spectral methods in fluid dynamics. Zbl 0658.76001
Canuto, Claudio; Hussaini, M. Yousuff; Quarteroni, Alfio; Zang, Thomas A.
1988
Generalized inf-sup conditions for Chebyshev spectral approximation of the Stokes problem. Zbl 0666.76055
Bernardi, Christine; Canuto, Claudio; Maday, Yvon
53
1988
Parallelism in spectral methods. Zbl 0675.65117
Canuto, C.
43
1988
The Schwarz algorithm for spectral methods. Zbl 0642.65076
Canuto, C.; Funaro, D.
26
1988
Spectral methods and a maximum principle. Zbl 0699.65080
Canuto, Claudio
9
1988
On the analysis of spectral methods for incompressible flows. Zbl 0780.76058
Canuto, Claudio
2
1988
Topics in spectral methods for hyperbolic equations. Zbl 0615.65123
Canuto, Claudio
22
1987
On the boundary treatment in spectral methods for hyperbolic systems. Zbl 0626.65123
Canuto, Claudio; Quarteroni, Alfio
3
1987
Boundary conditions in Chebyshev and Legendre methods. Zbl 0616.65114
Canuto, Claudio
11
1986
Un problème variationnel abstrait. Application à une méthode de collocation pour les équations de Stokes. (An abstract variational problem. Application to a collocation method for the Stokes equations). Zbl 0612.49004
Bernardi, Christine; Canuto, Claudio; Maday, Yvon
8
1986
Analysis of the Kleiser-Schumann method. Zbl 0623.76019
Canuto, Claudio; Landriani, Giovanni Sacchi
7
1986
Preconditioned minimal residual methods for Chebyshev spectral calculations. Zbl 0615.65118
Canuto, Claudio; Quarteroni, Alfio
23
1985
Spectral methods for exterior elliptic problems. Zbl 0548.65082
Canuto, C.; Hariharan, S. I.; Lustman, L.
17
1985
Combined finite element and spectral approximation of the Navier-Stokes equations. Zbl 0614.76021
Canuto, Claudio; Maday, Yvon; Quarteroni, Alfio
15
1984
Variational methods in the theoretical analysis of spectral approximations. Zbl 0539.65080
Canuto, Claudio; Quarteroni, Alfio
14
1984
Recent advances in the analysis of Chebyshev and Legendre spectral methods for boundary value problems. Zbl 0566.65084
Canuto, Claudio
3
1984
Approximation of symmetry breaking bifurcations for the Rayleigh convection problem. Zbl 0534.76089
Canuto, Claudio; Fujii, Hiroshi; Quarteroni, Alfio
4
1983
Approximation results for orthogonal polynomials in Sobolev spaces. Zbl 0567.41008
Canuto, C.; Quarteroni, A.
175
1982
Error estimates for spectral and pseudospectral approximations of hyperbolic equations. Zbl 0508.65054
Canuto, C.; Quarteroni, A.
20
1982
Analysis of the combined finite element and Fourier interpolation. Zbl 0496.42002
Canuto, C.; Maday, Y.; Quarteroni, A.
13
1982
Spectral and pseudo-spectral methods for parabolic problems with non periodic boundary conditions. Zbl 0485.65078
Canuto, C.; Quarteroni, A.
20
1981
A hybrid finite element method to compute the free vibration frequencies of a clamped plate. Zbl 0462.73049
Canuto, Claudio
4
1981
A finite element to interpolate symmetric tensors with divergence in \(L^ 2\). Zbl 0508.65051
Canuto, C.
1
1981
Spectral methods for hyperbolic equations. Zbl 0508.65053
Canuto, Claudio; Quarteroni, Alfio
1
1981
Propriétés d’approximation dans les espaces de Sobolev de systèmes de polynômes orthogonaux. Zbl 0508.65052
Canuto, Claudio; Quarteroni, Alfio
2
1980
Eigenvalue approximations by mixed methods. Zbl 0434.65032
Canuto, C.
20
1978
all top 5

Cited by 3,468 Authors

62 Guo, Ben-Yu
56 Bhrawy, Ali Hassan
45 Doha, Eid H.
42 Canuto, Claudio
42 Dehghan Takht Fooladi, Mehdi
39 Quarteroni, Alfio M.
32 Motsa, Sandile Sydney
29 Wang, Zhongqing
27 Abd-Elhameed, Waleed Mohamed
27 Chen, Yanping
26 Wang, Lilian
24 Heinrichs, Wilhelm
23 Ma, Heping
23 Maday, Yvon
21 Băleanu, Dumitru I.
20 Funaro, Daniele
20 Kopriva, David Alan
20 Razzaghi, Mohsen
19 Shen, Jie
19 Sibanda, Precious
18 Li, Huiyuan
17 Shateyi, Stanford
16 Heydari, Mohammad Hossien
15 Bernardi, Christine
15 Nicholls, David P.
15 Verani, Marco
14 Abdelkawy, Mohamed A.
14 Gassner, Gregor J.
14 Harbrecht, Helmut
14 Nelakanti, Gnaneshwar
14 Pavarino, Luca Franco
13 Karageorghis, Andreas
13 Wang, Cheng
12 Elnagar, Gamal N.
12 Huang, Yunqing
12 Pareschi, Lorenzo
12 Yang, Yin
12 Zampieri, Elena
11 Dahlke, Stephan
11 Deville, Michel O.
11 Karniadakis, George Em
11 Mokhtary, Payam
11 Ordokhani, Yadollah
11 Wang, Yushun
11 Zhang, Zhimin
10 Antonietti, Paola Francesca
10 Bertoluzza, Silvia
10 Floryan, Jerzy M.
10 Ghoreishi, Farideh
10 Hafez, Ramy Mahmoud
10 Herrero, Henar
10 Rozza, Gianluigi
10 Saadatmandi, Abbas
10 Stevenson, Rob P.
10 Tang, Tao
10 Wang, Tianjun
10 Xu, Chuanju
10 Yu, Xuhong
10 Zaky, Mahmoud A.
9 Abbasbandy, Saeid
9 Adcock, Ben
9 Avazzadeh, Zakieh
9 Hesthaven, Jan S.
9 Maleki, Mohammad Reza
9 Marzban, Hamid-Reza
9 Nouy, Anthony
9 Phillips, Timothy N.
9 Schwab, Christoph
8 Eslahchi, Mohammad Reza
8 Ezz-Eldien, Samer S.
8 Gauthier, Serge
8 Gervasio, Paola
8 Hussaini, M. Yousuff
8 Li, Zi-Cai
8 Liu, Wen-Jie
8 Maleknejad, Khosrow
8 Schneider, Kai
8 Shi, Xiulian
8 Temam, Roger Meyer
8 Yang, Yidu
8 Yi, Lijun
8 Zhang, Chao
7 Alghamdi, Mohammed Ali
7 Boyd, John Philip
7 Cao, Weiming
7 Cheng, Kelong
7 Dahmen, Wolfgang A.
7 Das, Payel
7 de Frutos, Javier
7 Gerritsma, Marc I.
7 Gu, Zhendong
7 Hessari, Peyman
7 Hooshmandasl, Mohammad Reza
7 Hoseini, Sayyed Mohammad
7 Huang, Fenglin
7 Huang, Jingfang
7 Kalisch, Henrik
7 Labrosse, Gérard
7 Lu, Shujuan
7 Mashayekhi, Somayeh
...and 3,368 more Authors
all top 5

Cited in 298 Serials

280 Journal of Computational Physics
170 Journal of Scientific Computing
147 Journal of Computational and Applied Mathematics
135 Applied Numerical Mathematics
112 Computer Methods in Applied Mechanics and Engineering
109 Applied Mathematics and Computation
92 Computers & Mathematics with Applications
78 Journal of Fluid Mechanics
72 Mathematics of Computation
57 Numerical Algorithms
56 Computers and Fluids
49 Numerische Mathematik
37 Numerical Methods for Partial Differential Equations
36 Abstract and Applied Analysis
35 International Journal for Numerical Methods in Fluids
35 SIAM Journal on Scientific Computing
35 Advances in Computational Mathematics
33 Calcolo
32 International Journal of Computer Mathematics
31 Physica D
30 Applied Mathematical Modelling
26 Physics of Fluids
25 International Journal for Numerical Methods in Engineering
25 SIAM Journal on Numerical Analysis
24 Computer Physics Communications
24 Theoretical and Computational Fluid Dynamics
24 Computational and Applied Mathematics
22 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
21 Advances in Difference Equations
20 Mathematical Problems in Engineering
19 Journal of Mathematical Analysis and Applications
18 Communications in Nonlinear Science and Numerical Simulation
18 International Journal of Applied and Computational Mathematics
17 Applied Mathematics Letters
16 Mathematics and Computers in Simulation
16 European Journal of Mechanics. B. Fluids
15 BIT
15 RAIRO. Modélisation Mathématique et Analyse Numérique
14 Mathematical Methods in the Applied Sciences
13 Numerical Functional Analysis and Optimization
13 Computational Mechanics
13 Advances in Applied Mathematics and Mechanics
12 Applied Mathematics and Mechanics. (English Edition)
12 Journal of Applied Mathematics
11 Acta Mechanica
11 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
11 Engineering Analysis with Boundary Elements
10 Journal of Engineering Mathematics
10 Journal of the Franklin Institute
10 Chaos, Solitons and Fractals
10 Applied and Computational Harmonic Analysis
10 International Journal of Computational Methods
9 Journal of Approximation Theory
9 Acta Mathematicae Applicatae Sinica. English Series
9 Nonlinear Dynamics
9 Journal of Applied Mathematics and Computing
9 Mathematical Sciences
9 SIAM/ASA Journal on Uncertainty Quantification
8 Applicable Analysis
8 Meccanica
8 Mathematical and Computer Modelling
8 International Journal of Numerical Methods for Heat & Fluid Flow
8 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
8 Advances in Mathematical Physics
7 The Journal of Fourier Analysis and Applications
7 Journal of Applied Mechanics and Technical Physics
7 Archives of Computational Methods in Engineering
6 International Journal of Heat and Mass Transfer
6 Bulletin of the Iranian Mathematical Society
6 Journal of Integral Equations and Applications
6 Journal of Non-Newtonian Fluid Mechanics
6 Linear Algebra and its Applications
6 Journal of Vibration and Control
6 International Journal of Computational Fluid Dynamics
6 Journal of Turbulence
6 Discrete and Continuous Dynamical Systems. Series B
6 Frontiers of Mathematics in China
5 Automatica
5 Computing
5 Applied Mathematics. Series B (English Edition)
5 Journal of Inequalities and Applications
5 Foundations of Computational Mathematics
5 Computational Methods in Applied Mathematics
5 Boundary Value Problems
4 Fluid Dynamics
4 Transport Theory and Statistical Physics
4 Wave Motion
4 Journal of Optimization Theory and Applications
4 Proceedings of the American Mathematical Society
4 SIAM Journal on Control and Optimization
4 Optimal Control Applications & Methods
4 Chinese Annals of Mathematics. Series B
4 Constructive Approximation
4 SIAM Journal on Applied Mathematics
4 Computational Optimization and Applications
4 The Journal of Analysis
4 Russian Journal of Numerical Analysis and Mathematical Modelling
4 Vietnam Journal of Mathematics
4 Journal of Shanghai University
4 Chaos
...and 198 more Serials
all top 5

Cited in 48 Fields

1,913 Numerical analysis (65-XX)
918 Fluid mechanics (76-XX)
916 Partial differential equations (35-XX)
245 Ordinary differential equations (34-XX)
181 Integral equations (45-XX)
146 Mechanics of deformable solids (74-XX)
134 Approximations and expansions (41-XX)
101 Calculus of variations and optimal control; optimization (49-XX)
92 Classical thermodynamics, heat transfer (80-XX)
89 Harmonic analysis on Euclidean spaces (42-XX)
81 Special functions (33-XX)
73 Statistical mechanics, structure of matter (82-XX)
65 Probability theory and stochastic processes (60-XX)
54 Dynamical systems and ergodic theory (37-XX)
51 Real functions (26-XX)
50 Optics, electromagnetic theory (78-XX)
48 Systems theory; control (93-XX)
46 Geophysics (86-XX)
44 Biology and other natural sciences (92-XX)
40 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
39 Quantum theory (81-XX)
33 Functional analysis (46-XX)
30 Operator theory (47-XX)
28 Operations research, mathematical programming (90-XX)
20 Linear and multilinear algebra; matrix theory (15-XX)
18 Statistics (62-XX)
15 Relativity and gravitational theory (83-XX)
14 Astronomy and astrophysics (85-XX)
13 Computer science (68-XX)
13 Mechanics of particles and systems (70-XX)
11 Information and communication theory, circuits (94-XX)
9 Potential theory (31-XX)
5 Combinatorics (05-XX)
5 Number theory (11-XX)
5 Functions of a complex variable (30-XX)
3 Difference and functional equations (39-XX)
3 Global analysis, analysis on manifolds (58-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Algebraic geometry (14-XX)
1 Measure and integration (28-XX)
1 Sequences, series, summability (40-XX)
1 Integral transforms, operational calculus (44-XX)
1 Convex and discrete geometry (52-XX)
1 Differential geometry (53-XX)
1 General topology (54-XX)
1 Algebraic topology (55-XX)
1 Mathematics education (97-XX)

Citations by Year