- Computer Science 301
- Mathematics 298
- Civil Engineering 239
- Agriculture 202
- Crop Science 149
- Soil Science 133
- Agronomy 99
- Building Construction Management 87
- Construction Engineering and Management 77
- Philosophy 73

- Walter Gautschi 286
- Darcy M. Bullock 188
- Michael Witt 104
- Alexander M. Hainen 102
- David Burford 100
- Andrew Sydelko 80
- Gilles Deleuze 73
- Venkatesh Mohan Merwade 51
- Craig S. T. Daughtry 49
- Liuying Du 49

- Dataset 1440

10.4231/R7Z31WJP

04/23/2014

The real-valued Lambert W-functions considered here are w_0(y) and w_-1}(y), solutions of we^w = y, -1/e < y < 0, with values respectively in (-1/e < y <0) and (-infinity, -1).

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/R7TB14TB

04/23/2014

This software source code investigates numerically the extent to which the condition number of such matrices can be reduced, either by row-scaling or by optimal configurations of nodes. In the latter case we find empirically the condition of the optimally...

Computer Science Condition Numbers Guassian Quadrature Logarithmic weight functions Mathematics Matlab Orthogonal polynomials Singular value decomposition Software source code Vandermonde matrices Walter Gautschi Archives

10.4231/R7G15XSQ

04/23/2014

The generation of generalized Gauss–Radau and Gauss–Lobatto quadrature formulae by methods developed by us earlier breaks down in the case of Jacobi and Laguerre measures when the order of the quadrature rules becomes very large. The reason for this is und...

Computer Science High-order generalized Gauss–Radau and Gauss–Lobatto quadrature formulae Jacobi weight functions Laguerre weight functions Mathematics Matlab Orthogonal polynomials Software source code Walter Gautschi Archives

10.4231/R7PK0D31

04/23/2014

Tensor-product formulae based on one-dimensional Gaussian quadratures are developed for evaluating double integrals of the type indicated in the title. If the singularities occur only along the diagonal and the regular part of the integrand is a polynomial...

Aerodynamical drag coefficient Computer Science Gauss quadrature approximation Gaussian quadrature Mathematics Matlab Numerical integration over the square Orthogonal polynomials Quadrature and cubature formulas Software source code Walter Gautschi Archives Walter Gautschi Selected Works

10.4231/R7JS9NCR

04/23/2014

Orthogonal polynomials relative to the Jacobi weight function, but orthogonal on a strict subinterval of [-1, 1] are studied, in particular with regard to their numerical computation. Related Gaussian quadrature rules are also considered.

Computation of recurrence coefficients and special Gaussian quadrature rules Computer Science Gaussian quadrature Jacobi weight functions Mathematics Matlab Orthogonal polynomials Software source code Sub-range Jacobi polynomials Walter Gautschi Archives

10.4231/R7F18WNB

04/23/2014

Algorithms are developed for computing the coefficients in the three-term recurrence relation of repeatedly modified orthogonal polynomials, the modifications involving division of the orthogonality measure by a linear function with real or complex coeffic...

Computer Science Gaussian quadrature Gaussian quadrature of functions having poles Jacobi polynomials Logarithmic weight functions Mathematics Matlab Modification algorithms for orthogonal polynomials Numerical integrations Orthogonal polynomials Software source code Walter Gautschi Archives

10.4231/R71V5BW8

04/23/2014

Matlab software are presented for generating Gauss–Turán quadrature rules for the Laguerre and Hermite weight functions to arbitrarily high accuracy. This is accomplished by the Newton–Kantorovich method, using initial approximations that are sufficiently...

Computer Science Gauss-type quadrature rules Hermite weight function Laguerre weight functions Mathematics Matlab Orthogonal polynomials Software source code Variable-precision arithmetic Walter Gautschi Archives

10.4231/R75H7D6P

04/23/2014

A method of “neutralization” is presented that significantly weakens, if not eliminates, a singularity close to, but outside, the interval of integration.

Computer Science Gaussian quadrature Mathematics Matlab nearby singularities Numerical quadrature Orthogonal polynomials Software source code Walter Gautschi Archives

10.4231/R7X34VD9

04/28/2014

Matlab scripts for computing orthogonal polynomials whose weight function involves the exponential integral E_nu, nu>0, on [0,Inf] or [0,c], c>0.

Computer Science exponential integrals Gaussian quadrature Logarithmic weight functions Mathematics Matlab Orthogonal polynomials Software source code Variable-precision arithmetic Walter Gautschi Archives

10.4231/R7959FHP

03/29/2017

A suite of Matlab programs has been developed as part of the book "Orthogonal Polynomials: Computation and Approximation", Clarendon Press, Oxford, 2014. The package contains routines for generating orthogonal polynomials as well as routines dealing wi...

Computer Science Gauss-type quadrature rules Mathematics Matlab Modification algorithms for orthogonal polynomials Orthogonal polynomials Software source code Variable-precision arithmetic Walter Gautschi Archives

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