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- Veerle Ledoux, Margarit Rizea, Liviu Gr. Ixaru, Guido Vanden Berghe, Marnix Van Daele
- Computer Physics Communications
- 2006

- J. P. Coleman, Liviu Gr. Ixaru
- SIAM J. Numerical Analysis
- 2006

A generalization of Peano’s kernel theorem due to Ghizzetti and Ossicini [Quadrature Formulae, Birkhaüser, Basel, Switzerland, 1970] provides expressions, in the form of integrals, for the truncation errors in a variety of exponential-fitting formulae for oscillatory problems. In some circumstances this leads to an expression analogous to the Lagrange form… (More)

- Veerle Ledoux, Liviu Gr. Ixaru, Margarit Rizea, Marnix Van Daele, Guido Vanden Berghe
- Computer Physics Communications
- 2006

We consider the solution of the one-dimensional Schrödinger problem over an infinite integration interval. The infinite problem is regularized by truncating the integration interval and imposing the appropriate boundary conditions at the truncation points. The Schrödinger problem is then solved on the truncated integration interval using one of the… (More)

- Liviu Gr. Ixaru
- Computer Physics Communications
- 2007

- Dajana Conte, Liviu Gr. Ixaru, Beatrice Paternoster, Giuseppe Santomauro
- J. Computational Applied Mathematics
- 2014

- Liviu Gr. Ixaru
- Computer Physics Communications
- 2007

- Liviu Gr. Ixaru, N. Stanley Scott, M. Penny Scott
- SIAM J. Scientific Computing
- 2006

- Angelamaria Cardone, Liviu Gr. Ixaru, Beatrice Paternoster
- Numerical Algorithms
- 2010

This paper is the first approach to the solution of Volterra integral equation by exponential fitting methods. We have developed a Direct Quadrature method, which uses a class of ef-based quadrature rules adapted to the current problem to solve. We have analyzed the convergence of the method and have found different formulas for the coefficients, which… (More)

- Liviu Gr. Ixaru
- Computer Physics Communications
- 2012

- Liviu Gr. Ixaru, Beatrice Paternoster
- International Conference on Computational Science
- 2004