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/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/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/R7W093W1
02/27/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=(1-x^2)^(λ-1/2)*exp(-a*x^2) on [-1,1], λ=8, a=-8
Computer Science Gegenbauer weigh function Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
10.4231/R77942P7
02/27/2017
The first 100 recurrence coefficients for the weight function w(x)=φ_m(x), m=1, 2, . . . , 10, 12, 15, 20
B-spline Computer Science Mathematics Walter Gautschi Archives weight functions
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