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- Igor Moret, Paolo Novati
- 2004

Restricted Denominator (RD) rational approximations to the matrix exponential operator are constructed by interpolation in points related to Krylov subspaces associated to a rational transform of the… (More)

For the solution of linear discrete ill-posed problems, in t his paper we consider the Arnoldi-Tikhonov method coupled with the General ized Cross Validation for the computation of the regularization… (More)

In the framework of large-scale linear discrete ill-posed problems, Krylov projection methods represent an essential tool since their development, which dates back to the early 1950’s. In recent… (More)

- Paolo Novati
- 2008

- Paolo Novati
- 2008

- Paolo Novati
- SIAM J. Matrix Analysis Applications
- 2011

In this paper we investigate some practical aspects concerning the use of the restricted-denominator rational Arnoldi method for the computation of the core functions of exponential integrators for… (More)

- Igor Moret, Paolo Novati
- 2001

- Paolo Novati
- Numerical Lin. Alg. with Applic.
- 2003

In this paper we use the theory of Faber polynomials for solving N -dimensional linear initial value problems. In particular, we use Faber polynomials to approximate the evolution operator creating… (More)

- Lidia Aceto, Paolo Novati
- 2018

We investigate the rational approximation of fractional powers of unbounded positive operators attainable with a specific integral representation of the operator function. We provide accurate error… (More)

- Lidia Aceto, Paolo Novati
- SIAM J. Scientific Computing
- 2017

This paper provides a new numerical strategy to solve fractional in space reaction-diffusion equations on bounded domains under homogeneous Dirichlet boundary conditions. Using the matrix transform… (More)