PURR Registry

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

Two-Phase Outflows: Boundary Conditions and Algorithm

10.4231/R7MK69TV

Suchuan Dong

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

Equation coefficients used for semi-analytical analysis of laterally loaded piles

10.4231/R7862DCV

Fei Han , Monica Prezzi , Rodrigo Salgado

11/06/2014

Equation coefficients used for semi-analytical analysis at Purdue

Civil Engineering Mathematics semi-analytical

OPCBSPL: Orthogonal polynomials relative to cardinal B-spline weight functions

10.4231/R7NG4NKC

Walter Gautschi

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

32-digit values of the first 100 recurrence coefficients for an Airy weight function

10.4231/R7V122R6

Walter Gautschi

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