185 citations
- Universidad Nacional Autónoma de MéxicoMX38 papers
- Universidad Michoacana de San Nicolás de HidalgoMX17 papers
- Pennsylvania State UniversityUS10 papers
- Centre National de la Recherche ScientifiqueFR6 papers
- Universidad Latina de AméricaMX6 papers
- Centro de Ciencias MatemáticasMX5 papers
- Max Planck Institute for Radio AstronomyDE5 papers
- CEA Paris-SaclayFR4 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR4 papers
- Instituto Tecnológico de MoreliaMX4 papers
- Karlsruhe Institute of TechnologyDE4 papers
- Perimeter InstituteCA4 papers
4 papers · 1 filter
A fast algorithm for the linear canonical transform
Rafael G. Campos, Jared Figueroa
In recent years there has been a renewed interest in finding fast algorithms to compute accurately the linear canonical transform (LCT) of a given function. This is driven by the l…
A simple convergent solver for initial value problems
Rafael G. Campos, Francisco Dominguez Mota
We present a stable and convergent method for solving initial value problems based on the use of differentiation matrices obtained by Lagrange interpolation. This implicit multiste…
Quadrature formulas for integrals transforms generated by orthogonal polynomials
Rafael G. Campos, Francisco Dominguez Mota, E. Coronado
By using the three-term recurrence equation satisfied by a family of orthogonal polynomials, the Christoffel-Darboux-type bilinear generating function and their asymptotic expressi…
Quadrature formulas for the Laplace and Mellin transforms
Rafael G. Campos, Francisco Mejia
A discrete Laplace transform and its inversion formula are obtained by using a quadrature of the continuous Fourier transform which is given in terms of Hermite polynomials and its…