subject: Mathematics type: dataset
10.4231/R7X34VD9
04/28/2014
Matlab scripts for computing orthogonal polynomials whose weight function involves an exponential integral
Computer Science exponential integrals Gaussian quadrature Logarithmic weight functions Mathematics Matlab Orthogonal polynomials Software source code Variable-precision arithmetic Walter Gautschi Archives
10.4231/R7959FHP
03/29/2017
This is a set of Matlab codes and data files for generating orthogonal polynomials and related quadrature rules.
Computer Science Gauss-type quadrature rules Mathematics Matlab Modification algorithms for orthogonal polynomials Orthogonal polynomials Software source code Variable-precision arithmetic Walter Gautschi Archives
10.4231/R7SB43PZ
04/23/2014
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/R7RB72JK
06/19/2014
We present an accurate and effective outflow boundary condition and numerical algorithm for achieving stability in the presence of strong vortices or backflows at the outflow boundaries.
backflow CFD incompressible flow Mathematics open boundary condition outflow outflow boundary condition Physics
10.4231/R7MK69TV
06/19/2014
We present an effective outflow boundary condition, and an associated numerical algorithm, within the phase field framework for dealing with two-phase outflows or open boundaries.
inflow boundary condition large density ratio Mathematics multiphase flow open boundary condition outflow boundary condition phase field method Physics spectral element method two-phase flow two-phase open boundary two-phase outflow variable coefficient matrix
10.4231/R7862DCV
Fei Han , Monica Prezzi , Rodrigo Salgado
11/06/2014
Equation coefficients used for semi-analytical analysis at Purdue
10.4231/R7ZP441V
12/19/2014
Efficient Algorithm for Incompressible N-Phase Flows
Mathematics multiphase flows N-phase flow phase field Physics spectral element surface tension
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/R7MW2F3P
02/20/2020
This includes symbolic versions of some of the more important OPQ routines.
Airy weight function Bose-Einstein distribution Chebyshev-type quadratures Classical weight functions Computer Science Fermi Dirac weight Function Freud weight function Gauss-type quadrature rules Hermite weight function Jacobi weight functions K-Bessel weight function Laguerre weight functions Mathematics Matlab OPQ routine Orthogonal polynomials Perl Script quadrature Software source code Walter Gautschi Archives Walter Gautschi Selected Works
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