Claudio Canuto
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Claudio Canutomathematics Degrees
Mathematics
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Applied Mathematics
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Measure Theory
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Mathematics
Claudio Canuto's Degrees
- PhD Mathematics University of Turin
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(Suggest an Edit or Addition)Claudio Canuto's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Spectral methods for fluid dynamics (1987) (4781)
- Spectral Methods: Fundamentals in Single Domains (2010) (1928)
- Spectral methods in fluid dynamics (1991) (1182)
- Spectral Methods: Evolution to Complex Geometries and Applications to Fluid Dynamics (Scientific Computation) (2007) (693)
- Approximation results for orthogonal polynomials in Sobolev spaces (1982) (480)
- The wavelet element method. Part I: Construction and analysis. (1997) (230)
- Generalized Inf-Sup Conditions for Chebyshev Spectral Approximation of the Stokes Problem (1988) (139)
- A fictitious domain approach to the numerical solution of PDEs in stochastic domains (2007) (107)
- The wavelet element method. Part II: Realization and additional features in 2D and 3D (1997) (101)
- An Eulerian Approach to the Analysis of Krause's Consensus Models (2012) (83)
- Preconditioned minimal residual methods for Chebyshev spectral calculations (1985) (68)
- Stabilization of spectral methods by finite element bubble functions (1994) (67)
- Dipartimento di Matematica (2005) (66)
- The Schwarz algorithm for spectral methods (1988) (60)
- A Posteriori Error Analysis of the Reduced Basis Method for Nonaffine Parametrized Nonlinear PDEs (2009) (54)
- A Eulerian approach to the analysis of rendez-vous algorithms (2008) (54)
- Finite-Element Preconditioning of G-NI Spectral Methods (2009) (46)
- Eigenvalue approximations by mixed methods (1978) (46)
- A self-adaptive formulation for the Euler/Navier—Stokes coupling (1989) (46)
- BDDC preconditioners for continuous and discontinuous Galerkin methods using spectral/hp elements with variable local polynomial degree (2014) (38)
- Analysis of the combined finite element and Fourier interpolation (1982) (37)
- Stochastic aerodynamics and aeroelasticity of a flat plate via generalised Polynomial Chaos (2009) (36)
- Spectral and pseudo-spectral methods for parabolic problems with non periodic boundary conditions (1981) (36)
- On the decay of the inverse of matrices that are sum of Kronecker products (2013) (36)
- On the adaptive computation of integrals of wavelets (2000) (32)
- Modelling and Subject-Specific Validation of the Heart-Arterial Tree System (2014) (32)
- Error Estimates for Spectral and Pseudospectral Approximations of Hyperbolic Equations (1982) (31)
- Uncertainty quantification in Discrete Fracture Network models: Stochastic fracture transmissivity (2015) (31)
- Multilevel decompositions of functional spaces (1997) (31)
- Multilevel Preconditioning of Discontinuous-Galerkin Spectral Element Methods Part I: Geometrically Conforming Meshes (2013) (30)
- Uncertainty Quantification in Discrete Fracture Network Models: Stochastic Geometry (2018) (28)
- Spectral methods and a maximum principle (1988) (28)
- Combined finite element and spectral approximation of the Navier-Stokes equations (1984) (26)
- Bubble-stabilized spectral methods for the incompressible Navier-Stokes equations (1996) (26)
- Spectral methods for exterior elliptic problems (1985) (26)
- Boundary and interface conditions within a finite element preconditioner for spectral methods (1990) (24)
- Adaptive Optimization of Convex Functionals in Banach Spaces (2004) (24)
- Boundary conditions in Chebyshev and Legendre methods (1986) (23)
- Springback compensation in deep drawing applications (2008) (22)
- Stabilized spectral methods for the Navier--Stokes equations: Residual-free bubbles and preconditioning (1997) (21)
- Multiscale Problems and methods in Numerical Simulations (2003) (21)
- Spectral and high order methods for partial differential equations : proceedings of the ICOSAHOM'89 Conference, Villa Olmo, Como (Italy) 26-29 June 1989 (1990) (21)
- A self-adaptive domain decomposition for the viscous/inviscid coupling. I: Burgers equation (1993) (21)
- Generalized INF-SUP condition for Chebyshev approximation of the Navier-Stokes equations (1986) (21)
- Stable Discretizations of Convection-Diffusion Problems via Computable Negative-Order Inner Products (2000) (21)
- Equazioni differenziali ordinarie (2008) (19)
- Convergence and Optimality of hp-AFEM (2015) (17)
- Bubble stabilization of spectral Legendre methods for the advection-diffusion equation (1994) (17)
- Adaptive Fourier-Galerkin methods (2012) (17)
- A wavelet-based adaptive finite element method for advection-diffusion equations (1997) (15)
- The Second-Generation Shifted Boundary Method and Its Numerical Analysis (2020) (15)
- On p-robust saturation for hp-AFEM (2016) (15)
- A spectral approach for the stability analysis of turbulent open-channel flows over granular beds (2012) (14)
- Numerical solution of partial differential equations in random domains: An application to wind engineering. (2009) (14)
- Analysis of the Kleiser-Schumann method (1986) (14)
- Convergence and optimality of $${\mathbf {hp}}$$hp-AFEM (2016) (14)
- Spectral approximations of the Stokes equations with boundary conditions on the pressure (1991) (13)
- Efficient computation of bifurcation diagrams with a deflated approach to reduced basis spectral element method (2019) (13)
- On the Numerical Analysis of Adaptive Spectral/hp Methods for Elliptic Problems (2013) (13)
- Analysis of the shifted boundary method for the Stokes problem (2020) (13)
- Contraction and Optimality Properties of an Adaptive Legendre–Galerkin Method: The Multi-Dimensional Case (2012) (13)
- An anisotropic functional setting for convection-diffusion problems (2001) (12)
- Uncertainty quantification of discontinuous outputs via a non-intrusive bifidelity strategy (2019) (12)
- A sweating model for the internal ventilation of a motorcycle helmet (2011) (12)
- Multilevel a posteriori error analysis for reaction—convection—diffusion problems (2004) (12)
- Numerical solution of elliptic problems by the Wavelet Element Method (1998) (12)
- A multi-timestep Robin-Robin domain decomposition method for time dependent advection-diffusion problems (2019) (11)
- Legendre-Gauss-Lobatto grids and associated nested dyadic grids (2013) (11)
- Analysis of the Shifted Boundary Method for the Poisson Problem in General Domains (2020) (11)
- Negative norm stabilization of convection-diffusion problems (2000) (11)
- Equilibrium analysis of an immersed rigid leaflet by the virtual element method (2020) (9)
- Contraction and optimality properties of adaptive Legendre-Galerkin methods: The one-dimensional case (2012) (9)
- Stabilized wavelet approximations of the Stokes problem (2001) (7)
- The shifted boundary method for solid mechanics (2021) (7)
- A hybrid finite element method to compute the free vibration frequencies of a clamped plate (1981) (7)
- Solving PDEs by variational physics-informed neural networks: an a posteriori error analysis (2022) (6)
- Single-grid spectral collocation for the Navier-Stokes equations (1990) (6)
- ON THE ELLIPTIC-HYPERBOLIC COUPLING I: THE ADVECTION-DIFFUSION EQUATION VIA THE χ-FORMULATION (1993) (6)
- Variational Physics Informed Neural Networks: the Role of Quadratures and Test Functions (2021) (6)
- A saturation property for the spectral-Galerkin approximation of a Dirichlet problem in a square (2017) (5)
- Multiscale Problems and Methods in Numerical Simulations: Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 9-15, 2001 (2004) (5)
- High-Order Adaptive Galerkin Methods (2015) (5)
- The high-order Shifted Boundary Method and its analysis (2022) (5)
- Adaptive VEM: Stabilization-Free A Posteriori Error Analysis (2021) (5)
- Taylor expansions and applications (2015) (5)
- Robust Preconditioners for DG-Discretizations with Arbitrary Polynomial Degrees (2012) (4)
- Multilevel Stabilization of Convection–Diffusion Problems by Variable-Order Inner Products (2001) (4)
- Some Algorithms for Unsteady Navier—Stokes Equations (1988) (4)
- Absolute and relative cut-off in adaptive approximation by wavelets (2000) (4)
- A chebyshev spectral method for gas transients in pipelines (1985) (4)
- APPROXIMATION OF SYMMETRY BREAKING BIFURCATIONS FOR THE RAYLEIGH CONVECTION PROBLEM (1983) (4)
- Adaptive Spectral Galerkin Methods with Dynamic Marking (2015) (4)
- Mathematical Analysis II (2008) (3)
- High-Order Methods for PDEs: Recent Advances and New Perspectives (2009) (3)
- Theory of Stability and Convergence for Spectral Methods (1988) (3)
- A Hybrid Model for the Computationally-Efficient Simulation of the Cerebellar Granular Layer (2016) (3)
- Stability analysis of open-channel flows with secondary currents (2021) (3)
- To the memory of Giovanni Sacchi Landriani (1990) (3)
- A chi-formulation of the viscous-inviscid domain decomposition for the Euler/Navier-Stokes equations (1994) (3)
- Parallelism in spectral methods (1988) (3)
- Nested dyadic grids associated with Legendre–Gauss–Lobatto grids (2015) (3)
- Mathematical Analysis I (2008) (3)
- ANISOTROPIC WAVELETS ALONG VECTOR FIELDS AND APPLICATIONS TO PDE's (2003) (3)
- Enhanced Coercivity for Pure Advection and Advection–Diffusion Problems (2006) (2)
- The derivation of continuum limits of neuronal networks with gap-junction couplings (2013) (2)
- A viscous-inviscid coupling under mixed boundary conditions (1992) (2)
- Spectral methods for viscous, incompressible flows (1993) (2)
- Fundamentals of Spectral Methods for PDEs (1988) (2)
- Adaptive $$\mathbf{hp}$$-FEM for eigenvalue computations (2019) (2)
- An Adaptive hp–DG–FE Method for Elliptic Problems: Convergence and Optimality in the 1D Case (2019) (2)
- Enforcing Dirichlet boundary conditions in physics-informed neural networks and variational physics-informed neural networks (2022) (2)
- Parallelism in a highly accurate algorithm for turbulence simulation (1989) (2)
- Global Approximation Results (1988) (2)
- Reduced-Basis Approximation and A Posteriori Error Estimation for Saddle-Point Problems (2011) (1)
- FitzHugh-Nagumo to model a large number of diffusive coupled neurons (2013) (1)
- Proceedings of the conference on Spectral and high order methods for partial differential equations (1990) (1)
- Adaptive VEM for variable data: convergence and optimality (2023) (1)
- Recent advances in the analysis of chebyshev and legendre spectral methods for boundary value problems (1985) (1)
- Contraction and Optimality Properties of an Adaptive Legendre–Galerkin Method: The Multi-Dimensional Case (2014) (1)
- Calcolo integrale II (2008) (0)
- Differential calculus for vector-valued functions (2015) (0)
- A finite element to interpolate symmetric tensors with divergence inL2 (1980) (0)
- Solution Techniques for Implicit Spectral Equations (1988) (0)
- Weighted reduced order methods for uncertainty quantification in computational fluid dynamics (2023) (0)
- Series of functions and power series (2015) (0)
- Instructions for Producing a Camera-ready Manuscript Using World Scientiic Publishing Style Files (0)
- Simple Incompressible Flows (1988) (0)
- Laurea Magistrale Reduced Order Methods For Hemodynamics Modelling Advisors : Candidate (2020) (0)
- A hybrid model for large neural network description (2015) (0)
- Ordinary differential equations (2015) (0)
- Wind-blown Sand: From the industrial problem to the numerical simulation (2018) (0)
- Sviluppi di Taylor e applicazioni (2005) (0)
- A spectral approach for the stability analysis of turbulent open-channel flows over granular beds (2011) (0)
- Applying differential calculus (2015) (0)
- Local comparison of functions. Numerical sequences and series (2015) (0)
- Adaptive convex optimization in Banach spaces: a multilevel approach (2003) (0)
- Self-Adaptive Domain Decomposition Via the chi-Formulation (1990) (0)
- Functions between Euclidean spaces (2015) (0)
- Limits and continuity II (2015) (0)
- ASM-BDDC Preconditioners with Variable Polynomial Degree for CG- and DG-SEM (2014) (0)
- ON THE BOUNDARYTREATMENTIN SPECTRALMETHODS FOR HYPERBOLICSYSTEMS (2008) (0)
- The Viscous-Inviscid Coupling Via a Self-Adaptive Zonal Approach (1990) (0)
- On the adaptive computation of integrals ofwaveletsSilvia (1999) (0)
- Integral calculus I (2015) (0)
- A posteriori error analysis and adaptivity for a VEM discretization of the Navier-Stokes equations (2022) (0)
- Multilevel stabilization devices in CFD (2002) (0)
- FitzHugh-Nagumo to model a large number of diffusive coupled neurons (2013) (0)
- Integral calculus in several variables (2015) (0)
- Modelling and Subject-Specific Validation of the Heart-Arterial Tree System (2014) (0)
- Transient, Smooth Problems (1988) (0)
- Finite element approximation of the Neumann Problem with singular boundary data (1978) (0)
- TOPICS IN SPECTRAL METHODS FOR HYPERBOLIC EQUATIONS (1987) (0)
- Integral calculus on curves and surfaces (2015) (0)
- N A ] 1 N ov 2 01 5 Adaptive Spectral Galerkin Methods with Dynamic Marking (2018) (0)
- MOX-Report No . 54 / 2015 Adaptive Spectral Galerkin Methods with Dynamic Marking (2015) (0)
- UvA-DARE (Digital Academic Repository) Adaptive Spectral Galerkin Methods with Dynamic Marking (2016) (0)
- Geometry in the plane and in space (2015) (0)
- Differential calculus for scalar functions (2015) (0)
- Nested dyadic grids associated with Legendre–Gauss–Lobatto grids (2014) (0)
- Steady, Smooth Problems (1988) (0)
- Erratum Spectral Methods Fundamentals in Single Domains (2019) (0)
- Adaptive hp-FEM for eigenvalue computations (2019) (0)
- Integral calculus II (2015) (0)
- The Viscous-Inviscid Coupling Via a Self-Adaptive Domain Decomposition Technique (1990) (0)
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