Claudio Canuto

		Address, mail...
		Dipartimento di Matematica
		Politecnico di Torino
		Corso Duca degli Abruzzi 24
		10129 Torino
		e-mail: ccanuto@polito.it
		Telephone: +39-011-564-7543
		Fax: +39-011-564-7599
		Current research interests
		Application of wavelets to PDE's and signal processing.
		Analysis of numerical methods for fluid dynamics equations.
		Adaptive discretization methods for PDE's.
		Ph.D. Strategic Reserach Line
		Numerical Simulation and Advanced Scientific Computing

Publications

Books

C.Canuto, M.Hussaini, A.Quarteroni and T.Zang, Spectral Methods. Evolution to Complex Geometries and Applications to Fluid Dynamics, Springer Verlag 2007.
C.Canuto, M.Hussaini, A.Quarteroni and T.Zang, Spectral Methods. Fundamentals in Single Domains, Springer Verlag 2006.
C. Canuto e A. Tabacco, Analisi Matematica I. Teoria ed esercizi con complementi in rete , Springer Milano 2003.
J.H. Bramble, A. Cohen and W. Dahmen, Multiscale Problems and Methods in Numerical Simulation , (C. Canuto, Ed.) C.I.M.E. Lecture Notes in Mathematics 1825, Springer Heidelberg 2003.
C.Canuto e A.Tabacco, Ondine Biortogonali: teoria e applicazioni, Quaderni dell'Unione Matematica Italiana - 46, Pitagora Editrice (Bologna), 1999.
C.Canuto and A.Quarteroni (Eds.), Spectral and High Order Methods for Partial Differential Equations, North-Holland (Amsterdam), 1990.
C.Canuto, M.Hussaini, A.Quarteroni and T.Zang, Spectral Methods in Fluid Dynamics , Springer Verlag (Berlin and New York), 1988 - second revised printing 1990.

Research papers (since 1993)
- C.Canuto and T.Kozubek, A fictitious domain approach to the numerical solution of PDEs in stochastic domains, Numer. Math. 107 (2007), pp. 257-293
- C.Canuto, Enhanced Coercivity for Pure Advection and Advection-Diffusion Problems, J. Sci. Comput. 28 (2006), pp. 223-244.
- C.Canuto and K.Urban, Adaptive Optimization of Convex Functionals in Banach Spaces, SIAM J. Numer. Anal. 42 (2005), pp. 2043-2075.
- C.Canuto and A. Quarteroni, Spectral Methods, pp. 436-468 in Encyclopedia of Computational Mechanics, E.Stein et Al, Eds., John Wiley&Sons, 2004.
- S. Berrone and C. Canuto, Multilevel a posteriori error analysis for reaction-convection-diffusion problems, Appl. Numer. Math. Vol. 50, No. 3-4, (2004), 371-394.
- C.Canuto, Adaptive convex optimization in Banach spaces: a multilevel approach, Boll. U.M.I. (8) 6-B (2003), pp. 263-287.
- C.Canuto and A.Tabacco, Anisotropic wavelets along vector fields and applications to PDE's, Arabian J. Sci. Engng., 28 (1C) (2003), pp. 89-105.
- Claudio Canuto, Multilevel stabilization devices in CFD, Comput. and Fluids, 31 (2002), pp. 421-436.
- C.Canuto and A.Tabacco, An anisotropic functional setting for convection-diffusion problems, East-West J. Numer. Math., 9 (2001), pp. 199-231.
- Claudio Canuto and Roland Masson, Stabilized wavelet approximations of the Stokes problem , Math. of Comp., 70 (2001), pp. 1397-1416.
- C. Canuto, Multilevel stabilization of convection-diffusion problems by variable order inner products , Computing 66 (2001), pp. 121-138.
- S. Bertoluzza, C.Canuto and A.Tabacco, Stable discretizations of convection-diffusion problems via computable negative-order inner products, SIAM J. Numer. Anal., 38 (2000), pp. 1034-1055.
- Silvia Bertoluzza, Claudio Canuto and Karsten Urban, On the adaptive computation of integrals of wavelets , Appl. Numer. Math., 34 (2000), pp. 13-38.
- S. Bertoluzza, C.Canuto and A.Tabacco, Negative norm stabilization of convection-diffusion problems, Appl. Math. Lett., 13 (2000), pp. 121-127.
- C.Canuto and A.Tabacco, Absolute and relative cut-off in adaptive approximation by wavelets, Annali di Matem. Pura e Appl., 178 (2000), pp. 287-315.
- C.Canuto, A.Tabacco and K.Urban, The Wavelet Element Method. Part II: Realization and Additional Features in 2D and 3D, Appl. Comput. Harm. Anal., 8 (2000), pp. 123-165.
- C.Canuto, A.Tabacco and K.Urban, The Wavelet Element Method. Part I: Construction and Analysis, Appl. Comput. Harm. Anal., 6 (1999), pp. 1-52.
- C.Canuto, A.Russo and V. van Kemenade, Stabilized spectral methods for the Navier-Stokes equation: residual-free bubbles and preconditioning, Comput.Meth. Appl.Mech. Engrg., 166 (1998), pp. 65-83.
- C.Canuto, A.Tabacco and K.Urban, Numerical solution of elliptic problems by the Wavelet Element Method, pp. 17-37 in ENUMATH 97 (H.G. Bock et al, eds.), World Scientific Co., Singapore, 1998.
- C.Canuto, Decomposizioni multilivello e applicazion, Boll. U.M.I., Ser. VII, 11-A, (1997), pp. 383-417.
- C.Canuto and A.Tabacco, Multilevel decomposition of functional spaces, J.Fourier Anal. and Appl., 3 (1997), pp. 715-742.
- C.Canuto and I.Cravero, A wavelet-based adaptive finite element method for advection-diffusion equations, Math. Mod. Meths. Appl. Sci., 7 (1997), pp. 265-289.
- C.Canuto, Spectral Methods, pp. 443-500 in the Proceedings of the Les Houches Summer School on Theoretical Physics, Session LVIX, (M.Lesieur and J.Zinn-Justin, eds.), North-Holland (1996).
- C.Canuto and V.van Kemenade, Bubble stabilized spectral methods for the incompressible Navier-Stokes equations, Comput.Meth. Appl.Mech. Engrg. 135 (1996), pp. 35-61.
- C.Canuto, Stabilization of spectral methods by finite element bubble functions, Comput. Meth. Appl. Mech. Engng 116 (1994), pp. 13-26.
- C.Canuto and G.Puppo, Bubble stabilization of spectral Legendre methods for the advection- diffusion equation, Comput. Meth. Appl. Mech. Engng. 118 (1994), pp. 239-263.
- R.Arina and C.Canuto, A self-adaptive domain decomposition for the viscous/inviscid coupling - I. Burgers equation, J. Comput. Phys., 105 (1993), pp. 290-300.
- C.Canuto and A.Russo, On the elliptic-Hyperbolic coupling I: the advection-diffusion equation via the $\chi$-formulation, Math. Models Methods Appl. Sci., 3 (1993), pp. 145-170.
- C.Canuto, Spectral methods for viscous, incompressible flows, pp. 169-194 in ``Algorithmic Trends in Computational Fluid Dynamics" (M.Y.Hussaini, A.Kumar and M.D.Salas, eds.), Springer-Verlag (New York), 1993.

Claudio Canuto

Address, mail...

Current research interests

Ph.D. Strategic Reserach Line

Numerical Simulation and Advanced Scientific Computing

Publications