13 citations · 28 across the 14 of their papers we have counts for
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math.NA2014
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^…
math.NA2014★ 1 cited
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…
math.NA2014
On the use of conformal maps for the acceleration of convergence of the trapezoidal rule and Sinc numerical methods
Richard Mikael Slevinsky, Sheehan Olver
We investigate the use of conformal maps for the acceleration of convergence of the trapezoidal rule and Sinc numerical methods. The conformal map is a polynomial adjustment to the…