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A recursive algorithm for an efficient and accurate computation of incomplete Bessel functions
Richard M. Slevinsky, Hassan Safouhi
In a previous work, we developed an algorithm for the computation of incomplete Bessel functions, which pose as a numerical challenge, based on the transformation and…
Double Exponential Transformation For Computing Three-Centre Nuclear Attraction Integrals
Jordan Lovrod, Hassan Safouhi
Three-centre nuclear attraction integrals, which arise in density functional and \textit{ab initio} calculations, are one of the most time-consuming computations involved in molecu…
A Numerical Treatment of Energy Eigenvalues of Harmonic Oscillators Perturbed by a Rational Function
Philippe Gaudreau, Hassan Safouhi
In the present contribution, we apply the double exponential Sinc-collocation method (DESCM) to the one-dimensional time independent Schrödinger equation for a class of rational po…
On the Computation of Eigenvalues of the Anharmonic Coulombic Potential
Tyler Cassidy, Philippe Gaudreau, Hassan Safouhi
In this work, we propose a method combining the Sinc collocation method with the double exponential transformation for computing the eigenvalues of the anharmonic Coulombic potenti…
Centrosymmetric Matrices in the Sinc Collocation Method for Sturm-Liouville Problems
Philippe Gaudreau, Hassan Safouhi
Recently, we used the Sinc collocation method with the double exponential transformation to compute eigenvalues for singular Sturm-Liouville problems. In this work, we show that th…
Computing Energy Eigenvalues of Anharmonic Oscillators using the Double Exponential Sinc collocation Method
Philippe Gaudreau, Richard Slevinsky, Hassan Safouhi
A quantum anharmonic oscillator is defined by the Hamiltonian , where the potential is given by $V(x) = \sum_{i=1}^{m} c_{i} x^…
The Double Exponential Sinc Collocation Method for Singular Sturm-Liouville Problems
Philippe Gaudreau, Richard Slevinsky, Hassan Safouhi
Sturm-Liouville problems are abundant in the numerical treatment of scientific and engineering problems. In the present contribution, we present an efficient and highly accurate me…