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 underflow resp. overflow of the respective monic orthogonal polynomials.

Researchers should cite this work as follows:

• Gautschi, W. (2014). HOGGRL: High-order generalized Gauss-Radau and Gauss-Lobatto Formulae for Jacobi and Laguerre weight functions. Purdue University Research Repository. doi:10.4231/R7G15XSQ

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1. Computer Science
2. Computer Science (Dept)
3. High-order generalized Gauss–Radau and Gauss–Lobatto quadrature formulae
4. Jacobi weight functions
5. Laguerre weight functions
6. Mathematics
7. Matlab
8. Orthogonal polynomials
9. Software source code
10. Walter Gautschi Archives

This dataset contains 5 Matlab codes and files:

• globatto.m
• gradau.m
• globatto_jacobi.m
• gradau_jacobi.m
• gradau_laguerre.m

This dataset serves as a companion piece to the paper "High-order generalized Gauss-Radau and Gauss-Lobatto formulae for Jacobi and Laguerre weight functions", Numerical Algorithms 51 (2009), 143-149, doi: 10.1007/s11075-008-9247-y.