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- 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)

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

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

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

- 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)

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

- Liviu Gr. Ixaru
- NAA
- 2012

- Angelamaria Cardone, Liviu Gr. Ixaru, Beatrice Paternoster, Giuseppe Santomauro
- Mathematics and Computers in Simulation
- 2015

- Liviu Gr. Ixaru
- Computers & Chemistry
- 2001

We consider some typical numerical operations on functions (differentiation, integration, solving differential equations, interpolation) and show how the standard algorithms can be modified to become efficient when the functions are oscillatory, of the form y(x) = f1(x) sin(omega x) + f2(x) cos(omega x) where f1(x) and f2(x) are smooth functions. The… (More)

- Liviu Gr. Ixaru
- Computer Physics Communications
- 2010