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/R71Z4290
04/22/2014
32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the Theodorus weight function w(x)=x^1/2}/(e^x-1) on R_+} computed by the routine sr_theodorus(100,32)
Bose-Einstein distribution Computer Science Equation Table Gaussian quadrature Mathematics Moment problem Numerical integrations Orthogonal polynomials Quadrature and cubature formulas Slowly convergent series Spiral of Theodorus Summation of series Walter Gautschi Archives
10.4231/R7QN64N5
03/21/2014
28-digit values of the recursion coefficients for orthogonal polynomials relative to the Airy weight function w(x)= frac2^2/3}pi}3^5/6}Gamma(2/3)} *x^-2/3}exp(-x)Ai((3x/2)^2/3}) on [0,infty]
Airy weight function Computer Science Equation Table Gaussian quadrature Mathematics Orthogonal polynomials Quadrature and cubature formulas Walter Gautschi Archives
10.4231/R7JW8BS2
04/22/2014
28-digit values of the recursion coefficients for orthogonal polynomials relative to the Bessel weight function w(x)=fracsqrt3}}pi}K_1/3}(x) on [0,infty]
Computer Science Equation Table Gaussian quadrature K-Bessel weight function Mathematics Orthogonal polynomials Quadrature and cubature formulas Walter Gautschi Archives
10.4231/R7H12ZX3
04/22/2014
32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the Bose-Einstein weight function w(x)=x/(e^x-1) computed by the SOPQ routine sr_boseeinstein(100,1,32)
Bose-Einstein distribution Computer Science Equation Table Gaussian quadrature Mathematics Matlab OPQ routine Orthogonal polynomials Quadrature and cubature formulas Walter Gautschi Archives
10.4231/R77H1GGF
04/22/2014
32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the Bose-Einstein weight function w(x)=[x/(e^x-1)]^2 computed by the SOPQ routine sr_boseeinstein(100,2,32)
Bose-Einstein distribution Computer Science Equation Table Gaussian quadrature Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives
10.4231/R73R0QRQ
04/22/2014
32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the Bose-Einstein weight function w(x)=[x/(e^x-1)]^3 computed by the routine sr_boseeinstein(100,3,32)
Bose-Einstein distribution Computer Science Equation Table Gaussian quadrature Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives
10.4231/R7000013
04/22/2014
32-digit values of the first 100 recurrence coefficients for orthogonal polynomials using the Bose-Einstein weight function: w(x)=[x/(e^x-1)]^4 computed by the SOPQ routine sr_boseeinstein(100,4,32)
Bose-Einstein distribution Computer Science Equation Table Gaussian quadrature Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives
10.4231/R7C82765
04/24/2014
32-digit values of the first 100 recurrence coefficients relative to the Fermi-Dirac weight function w(x)=1/(e^x+1) computed by the SOPQ routine sr_fermidirac(100,1,32)
Computer Science Equation Table Fermi Dirac weight Function Gaussian quadrature Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives
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