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Gaudreau, Philippe, Safouhi, Hassan (2017) Double exponential sinc-collocation method for solving the energy eigenvalues of harmonic oscillators perturbed by a rational function. Journal of Mathematical Physics, 58. 101509pp. doi:10.1063/1.5004974

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Reference TypeJournal (article/letter/editorial)
TitleDouble exponential sinc-collocation method for solving the energy eigenvalues of harmonic oscillators perturbed by a rational function
JournalJournal of Mathematical Physics
AuthorsGaudreau, PhilippeAuthor
Safouhi, HassanAuthor
Year2017 (October)Volume58
PublisherAIP Publishing
DOIdoi:10.1063/1.5004974Search in ResearchGate
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Mindat Ref. ID5771168Long-form Identifiermindat:1:5:5771168:1
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Full ReferenceGaudreau, Philippe, Safouhi, Hassan (2017) Double exponential sinc-collocation method for solving the energy eigenvalues of harmonic oscillators perturbed by a rational function. Journal of Mathematical Physics, 58. 101509pp. doi:10.1063/1.5004974
Plain TextGaudreau, Philippe, Safouhi, Hassan (2017) Double exponential sinc-collocation method for solving the energy eigenvalues of harmonic oscillators perturbed by a rational function. Journal of Mathematical Physics, 58. 101509pp. doi:10.1063/1.5004974
In(n.d.) Journal of Mathematical Physics Vol. 58. AIP Publishing

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Gaudreau, Philippe J., Slevinsky, Richard M., Safouhi, Hassan (2015) Computing energy eigenvalues of anharmonic oscillators using the double exponential Sinc collocation method. Annals of Physics, 360. 520-538 doi:10.1016/j.aop.2015.05.026
Gaudreau, P., Slevinsky, R., Safouhi, H. (2016) The double exponential sinc collocation method for singular Sturm-Liouville problems. Journal of Mathematical Physics, 57. 43505pp. doi:10.1063/1.4947059
Gaudreau, Philippe, Slevinsky, Richard M., Safouhi, Hassan (2013) An asymptotic expansion for energy eigenvalues of anharmonic oscillators. Annals of Physics, 337. 261-277 doi:10.1016/j.aop.2013.07.001
Gaudreau, Philippe, Slevinsky, Richard M., Safouhi, Hassan (2012) Computation of Tail Probabilities via Extrapolation Methods and Connection with Rational and Padé Approximants. SIAM Journal on Scientific Computing, 34. doi:10.1137/100803778
Elgharbi, S., Essaouini, M., Abouzaid, B., El Hajji, S., Safouhi, H. (2021) Double exponential Sinc numerical methods for the two-dimensional time-independent Schrödinger equation. Molecular Physics, 119 (10) doi:10.1080/00268976.2021.1909162
Lovrod, Jordan, Safouhi, Hassan (2020) Double exponential transformation for computing three-center nuclear attraction integrals. Molecular Physics, 118. 1619854pp. doi:10.1080/00268976.2019.1619854
Parand, K., Dehghan, Mehdi, Pirkhedri, A. (2009) Sinc-collocation method for solving the Blasius equation. Physics Letters A, 373. 4060-4065 doi:10.1016/j.physleta.2009.09.005
Sugihara, Masaaki (2002) Double exponential transformation in the Sinc-collocation method for two-point boundary value problems. Journal of Computational and Applied Mathematics, 149 (1). 239-250 doi:10.1016/s0377-0427(02)00533-2
Kurata, Kazuhiro (1996) On the Ratio of the First Two Eigenvalues of Perturbed Harmonic Oscillators. Journal of Mathematical Analysis and Applications, 204. 227-235 doi:10.1006/jmaa.1996.0434
Baker, C., Mityagin, B. (2020) Non-real eigenvalues of the harmonic oscillator perturbed by an odd, two-point interaction. Journal of Mathematical Physics, 61 (4) 43505pp. doi:10.1063/1.5139901
Parand, K., Pirkhedri, A. (2010) Sinc-Collocation method for solving astrophysics equations. New Astronomy, 15. 533-537 doi:10.1016/j.newast.2010.01.001
 
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