7 citations · 15 across the 7 of their papers we have counts for
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New Stability Results for Explicit Runge-Kutta Methods
Rachid Ait-Haddou
The theory of polar forms of polynomials is used to provide for sharp bounds on the radius of the largest possible disc (absolute stability radius), and on the length of the larges…
Computation of optimal linear strong stability preserving methods via adaptive spectral transformations of Poisson-Charlier measures
Rachid Ait-Haddou
Strong stability preserving (SSP) coefficients govern the maximally allowable step-size at which positivity or contractivity preservation of integration methods for initial value p…
Gaussian quadrature rules for quintic splines
Michael Bartoň, Rachid Ait-Haddou, Victor Manuel Calo
We provide explicit expressions for quadrature rules on the space of quintic splines with uniform knot sequences over finite domains. The quadrature nodes and weights are der…
Explicit Gaussian quadrature rules for cubic splines with non-uniform knot sequences
Rachid Ait-Haddou, Michael Bartoň, Victor Manuel Calo
We provide explicit expressions for quadrature rules on the space of cubic splines with non-uniform, symmetrically stretched knot sequences. The quadrature nodes and weights…
A Muntz Type Theorem for a Family of Corner Cutting Schemes
Rachid Ait-Haddou, Yusuke Sakane, Taishin Nomura
By identifying a family of corner cutting schemes as a dimension elevation process of Gelfond-Bezier curves, we give a Muntz type condition for the convergence of the generated con…
Gelfond-Bezier Curves
Rachid Ait-Haddou, Yusuke Sakane, Taishin Nomura
We show that the generalized Bernstein bases in Muntz spaces defined by Hirschman and Widder [7] and extended by Gelfond [6] can be obtained as limits of the Chebyshev-Bernstein ba…