R
Richard Mikael Slevinsky
Researcher at University of Manitoba
Publications - 37
Citations - 403
Richard Mikael Slevinsky is an academic researcher from University of Manitoba. The author has contributed to research in topics: Spherical harmonics & Eigenvalues and eigenvectors. The author has an hindex of 12, co-authored 34 publications receiving 340 citations. Previous affiliations of Richard Mikael Slevinsky include University of Alberta & University of Oxford.
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A fast and well-conditioned spectral method for singular integral equations
TL;DR: In this paper, a spectral method for solving univariate singular integral equations over unions of intervals was developed by utilizing Chebyshev and ultraspherical polynomials to reformulate the equations as almost-banded infinite-dimensional systems.
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Fast algorithms using orthogonal polynomials
TL;DR: Recent advances in algorithms for quadrature, transforms, differential equations and singular integral equations using orthogonal polynomials are reviewed, finding techniques can be combined to produce high-performance codes for a wide range of problems that appear in applications.
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A fast and well-conditioned spectral method for singular integral equations
TL;DR: A spectral method for solving univariate singular integral equations over unions of intervals by utilizing Chebyshev and ultraspherical polynomials to reformulate the equations as almost-banded infinite-dimensional systems is developed.
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On the use of Hahn's asymptotic formula and stabilized recurrence for a fast, simple, and stable Chebyshev--Jacobi transform
TL;DR: In this article, a fast, simple, and stable transform of Chebyshev expansion coefficients to Jacobi expansion coefficients and its inverse based on the numerical evaluation of Jacobi expansions at the Chebyhev--Lobatto points is described.
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Computing Energy Eigenvalues of Anharmonic Oscillators using the Double Exponential Sinc collocation Method
TL;DR: In this paper, the Sinc collocation method combined with the double exponential transformation (DET) was used to compute the energy eigenvalues of an anharmonic oscillator.