Richard Slevinsky

Profile

Select Publications

Name: Richard Slevinsky

Position Title: Assistant Professor

Office Phone Number: (204) 474-6647

Research and Teaching Interests

Numerical analysis, scientific computing, spectral methods, sinc numerial methods, fast polynomial transforms, singular integral equations

Education

B.Sc. University of Alberta
M.Sc. University of Alberta
Ph.D. University of Alberta

Current graduate students

Emmanuel Appiah-Kubi (M.Sc. Thesis)
Yu Li (M.Sc. Thesis)

Courses taught

MATH 2130 A01
MATH 2160 A01

Links

https://home.cc.umanitoba.ca/~slevinrm/

Slevinsky, Richard Mikael and Olver, Sheehan (2017). A fast and well-conditioned spectral method for singular integral equations. J. Comput. Phys. 332, 290–315.
Gaudreau, P.; Slevinsky, R. and Safouhi, H. (2016). The double exponential sinc collocation method for singular Sturm-Liouville problems. J. Math. Phys. 57 (4), 043505, 19.
Gaudreau, Philippe J.; Slevinsky, Richard M. and Safouhi, Hassan (2015). Computing energy eigenvalues of anharmonic oscillators using the double exponential sinc collocation method. Ann. Physics 360, 520–538.
Slevinsky, Richard Mikael and Olver, Sheehan (2015). On the use of conformal maps for the acceleration of convergence of the trapezoidal rule and sinc numerical methods. SIAM J. Sci. Comput. 37 (2), A676–A700.
Slevinsky, Richard M. and Safouhi, Hassan (2014). Useful properties of the coefficients of the Slevinsky-Safouhi formula for differentiation. Numer. Algorithms 66 (3), 457–477.
Gaudreau, Philippe; Slevinsky, Richard M. and Safouhi, Hassan (2013). An asymptotic expansion for energy eigenvalues of anharmonic oscillators. Ann. Physics 337, 261–277.
Gaudreau, Philippe; Slevinsky, Richard M. and Safouhi, Hassan (2012). Computation of tail probabilities via extrapolation methods and connection with rational and Padé approximants. SIAM J. Sci. Comput. 34 (1), B65–B85.
Slevinsky, Richard M. and Safouhi, Hassan (2012). A comparative study of numerical steepest descent, extrapolation, and sequence transformation methods in computing semi-infinite integrals. Numer. Algorithms 60 (2), 315–337.
Slevinsky, Richard M. and Safouhi, Hassan (2010). A recursive algorithm for the G transformation and accurate computation of incomplete Bessel functions. Appl. Numer. Math. 60 (12), 1411–1417.
Slevinsky, R. M.; Temga, T.; Mouattamid, M. and Safouhi, H. (2010). One- and two-center ETF-integrals of first order in relativistic calculation of NMR parameters. J. Phys. A 43 (22), 225202, 14.
Slevinsky, Richard M. and Safouhi, Hassan (2009). New formulae for higher order derivatives and applications. J. Comput. Appl. Math. 233 (2), 405–419.
Slevinsky, Mikael and Safouhi, Hassan (2008). Numerical treatment of a twisted tail using extrapolation methods. Numer. Algorithms 48 (4), 301–316.