3 papers
math.NA2026
Automated solving of constant-coefficients second-order linear PDEs using Fourier analysis
Emmanuel Roque, José A Vallejo
We provide the details of an implementation of Fourier techniques for solving second-order linear partial differential equations (with constant coefficients) using a computer algeb…
math.CA2026
Recovery of the matrix potential of the one-dimensional Dirac equation from spectral data
Emmanuel Roque, Sergii M. Torba
A method for solving an inverse spectral problem for the one-dimensional Dirac equation is developed. The method is based on the Gelfand-Levitan equation and the Fourier-Legendre s…
math.CA2025
Representation of solutions of the one-dimensional Dirac equation in terms of Neumann series of Bessel functions
Emmanuel Roque, Sergii M. Torba
A representation of solutions of the one-dimensional Dirac equation is obtained. The solutions are represented as Neumann series of Bessel functions. The representations are shown…