Affiliation:
1. Royal Military College of Science (Cranfield), Shrivenham, Swindon, UK
Abstract
The author and colleagues have produced a collection of 60 test problems which offer a realistic performance test of the currently available automatic codes for eigenvalues of the classical Sturm-Liouville problem. We describe a Fortran implementation and the considerations that went into its design. A novel feature is that (almost) all the code defining one problem is textually contiguous in the Fortran text, unlike for example the DETEST package for ODE initial-value solvers where the definition of a problem is spread over several routines. The described implementation forms the infrastructure of the SLDRVER interactive package which supports exploration of a set of Sturm-Liouville problems with the four SL-solvers SLEIGN, SLEDGE, SL02F, and SLEIGN2. A “standard” set of 60 problems is provided, but it is simple to replace this by another one.
Publisher
Association for Computing Machinery (ACM)
Subject
Applied Mathematics,Software
Reference34 articles.
1. Computing eigenvalues of singular Sturm-Liouville problems;BAILEY P. B.;Results Math.,1991
2. Eigenvalue and eigenfunction computations for Sturm-Liouville problems
3. Automatic Solution of the Sturm-Liouville Problem
4. BENDER C. M. AND ORSZAG S.A. 1978. Advanced Mathematical Methods for Scientists and Engineers. McGraw-Hill Inc. New York NY. BENDER C. M. AND ORSZAG S.A. 1978. Advanced Mathematical Methods for Scientists and Engineers. McGraw-Hill Inc. New York NY.
Cited by
26 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献