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subject: Mathematics

Total is 299 Results
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

Generalized Energy-Stable Open Boundary Conditions for Incompressible Flows

10.4231/R7RV0KM6

Suchuan Dong ORCID logo

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

Incompressible Multiphase Flows: Physical Formulation and Numerical Algorithm

10.4231/R7J9649P

Suchuan Dong ORCID logo

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

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

10.4231/R7NG4NKC

Walter Gautschi ORCID logo

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 ORCID logo

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

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