subject: Mathematics date: 2016

10.4231/R74Q7RX0

Walter Gautschi, 0000-0001-9184-8899

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

Walter Gautschi, 0000-0001-9184-8899

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

Walter Gautschi, 0000-0001-9184-8899

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

Walter Gautschi, 0000-0001-9184-8899

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/R7NG4NKC

Walter Gautschi, 0000-0001-9184-8899

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

Walter Gautschi, 0000-0001-9184-8899

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

Suchuan Dong, 0000-0001-6778-0679

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

Suchuan Dong, 0000-0001-6778-0679

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/R7P26W3X

Walter Gautschi, 0000-0001-9184-8899

11/22/2016

Loading a text file of variable-precision recurrence coefficients into Matlab symbolic or double-precision arrays

Computer Science Jacobi weight functions Mathematics Matlab Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives

10.4231/R7DN432K

Walter Gautschi, 0000-0001-9184-8899

11/15/2016

32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^a*(1-x^c)^b on [0,1], a = 0, b = 1/2, c = 4

Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions

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