subject: Computer Science subject: Matlab
10.4231/R7NK3BZ7
04/23/2014
Software (in Matlab) is developed for computing variable-precision recurrence coefficients for orthogonal polynomials with respect to densely oscillating and exponentially decaying weight functions
Computer Science Densely oscillating weight functions Exponentially decaying weight functions Gaussian quadrature Mathematics Matlab Orthogonal polynomials Walter Gautschi Archives
10.4231/R7QJ7F7V
04/23/2014
Matlab and FORTRAN codes to evaluate a densely and wildly oscillatory integral that had been proposed as a computational problem in the SIAM 100-Digit Challenge.
Computer Science FORTRAN Gauss quadrature approximation Jacobi weight functions Mathematics Matlab Numerical Evaluation Orthogonal polynomials Oscillatory integrals Software source code Walter Gautschi Archives
10.4231/R7V985Z5
04/23/2014
Bernstein’s inequality for Jacobi polynomials is analyzed here analytically and computationally with regard to validity and sharpness
Bernstein’s inequality Computer Science Erdelyi–Magnus–Nevai conjecture Jacobi polynomials Mathematics Matlab Orthogonal polynomials Sharpness Software source code Walter Gautschi Archives
10.4231/R7KS6PH4
04/23/2014
Inequalities for the largest zero of Jacobi polynomials are here extended to all zeros of Jacobi polynomials, and new relevant conjectures are formulated.
Computer Science Gauss quadrature approximation Inequalities Jacobi polynomials Mathematics Matlab Orthogonal polynomials Walter Gautschi Archives zeros
10.4231/R72R3PMB
04/23/2014
Matlab routines for computing Gauss Quadrature rules with logarithmic weight functions
Computer Science Gaussian quadrature Jacobi weight functions Logarithmic weight functions Mathematics Matlab Modified Chebyshev algorithm Orthogonal polynomials Software source code Variable-precision arithmetic Walter Gautschi Archives
10.4231/R7Z31WJP
04/23/2014
Matlab programs for evaluating the Lambert W-functions and some of their integrals
Computation of special functions Computer Science Guassian Quadrature Integrals of Lambert W-functions Lambert W-functions· Mathematics Matlab Nonstandard Gaussian quadrature Numerical approximation Numerical integrations Orthogonal polynomials Software source code Variable-precision computation Walter Gautschi Archives
10.4231/R76D5R5W
10/23/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^mu*exp(-x^nu) on [0,Inf], mu=0, nu=8
Computer Science Freud weight function Mathematics Matlab Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
10.4231/R72N50FJ
10/23/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^mu*exp(-x^nu) on [0,Inf], mu=0, nu=10
Computer Science Freud weight function Mathematics Matlab Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
10.4231/R7B56GW6
10/23/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^mu*exp(-x^nu) on [0,Inf], mu=0, nu=6
Computer Science Freud weight function Mathematics Matlab Orthogonal polynomials Walter Gautschi Archives weight functions
10.4231/R7V40SC7
10/23/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=log^2(1-a*exp(-|x|)) on [-Inf,Inf], a = 1/2
Binet weight function Computer Science Mathematics Matlab Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
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