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/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/R7RV0KM6
04/16/2015
We present a family of energy-stable open boundary conditions and an associated numerical algorithm for incompressible flow simulations. These open boundary conditions all ensure the energy stability of the system.
backflow instability energy stability energy-stable boundary conditions Mathematics Navier-Stokes open boundary condition outflow outflow boundary condition Physics spectral element method unbounded domain velocity correction
10.4231/R7J9649P
04/07/2015
We present a family of thermodynamically consistent physical formulation and efficient numerical algorithm for simulating the mixture of N (N >= 2) immiscible incompressible fluids with given densities, dynamic viscosities and...
applied mathematics computational physics general order parameters Mathematics multiphase flows N-phase flow pairwise surface tension phase field Physics spectral element surface tension
10.4231/R7SF2T6N
02/03/2017
Matlab routine for the first N recurrence coefficients of Stieltjes-Wigert orthogonal polynomials with parameters σ and m
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Stieltjes-Wigert orthogonal polynomials Variable-precision computation Walter Gautschi Archives weight functions
10.4231/R7NP22FV
02/03/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=exp(-x^2) on [c,Inf], c=√1/2
Computer Science Hermite weight function Mathematics Modification algorithms for orthogonal polynomials moment-based method Orthogonal polynomials Walter Gautschi Archives weight functions
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