subject: Mathematics date: 2016
10.4231/R7NG4NKC
10/28/2016
A stable and efficient discretization procedure is developed to compute recurrence coefficients for orthogonal polynomials whose weight function is a polynomial cardinal B-spline of order greater than, or equal to, one.
B-spline Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials polynomials Walter Gautschi Archives weight functions
10.4231/R7V122R6
10/19/2016
32-digit values of the first 100 recurrence coefficients for the (normalized) weight function w(x)=c*x^(-5/6)e^(-x)Ai((3x/2)^(2/3)) on [0,Inf], c=2^(-1/6)*3^(1/6)/pi^(1/2), where Ai is the Airy function
Airy weight function Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Quadrature and cubature formulas Walter Gautschi Archives
10.4231/R7K35RM1
04/21/2016
Data files for the paper "S. Dong & X. Wang, A Rotational Pressure-Correction Scheme for Incompressible Two-Phase Flows with Open Boundaries, PLOS One, Accepted, 2016"
Mathematics multiphase flow OBC open boundary condition outflow boundary condition outflows Physics pressure correction spectral element spectral element method two-phase flow two-phase open boundary two-phase outflow
10.4231/R7FB50WP
04/25/2016
Data files for the paper "S. Dong & X. Wang, A Rotational Pressure-Correction Scheme for Incompressible Two-Phase Flows with Open Boundaries, PLOS One, Accepted, 2016"
Mathematics multiphase flow OBC open boundary condition outflow boundary condition outflows Physics pressure correction spectral element spectral element method two-phase flow two-phase open boundary two-phase outflow
10.4231/R74Q7RX0
10/04/2016
Matlab scripts for a discrete top-down Markov problem in approximation theory
approximation theory Computer Science Mathematics polynomials Walter Gautschi Archives
10.4231/R7RN35T0
10/05/2016
INERFC: Evaluation of the Repeated Integrals of the Coerror Function by Half-Range Gauss-Hermite Quadrature
Coerror Function Computer Science Mathematics Mathematics Education Matlab Quadrature and cubature formulas Walter Gautschi Archives
10.4231/R78G8HNQ
10/04/2016
Dataset contains matlab scripts for a paper dealing with the ILA monotonicity property for zeros of ultraspherical polynomials.
Computer Science Mathematics Matlab monotonicity polynomials ultraspherical polynomials Walter Gautschi Archives
10.4231/R7HH6H1D
11/22/2016
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=((1-om2*x^2)*(1-x^2))^(-1/2) on [-1,1], om2=1/2
Chebyshev weight function Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
10.4231/R7FF3QBG
11/22/2016
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^a*[log(1/x)]^b on [0,1], a = 1/2, b = 1
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
10.4231/R7BP00RH
11/22/2016
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^a*[log(1/x)]^b on [0,1], a = -1/2, b = 1
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
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