Qualitatively Correct Sturm-Liouville Eigenfunction Approximation
نویسنده
چکیده
In recent years several high quality Sturm-Liouville software packages have been written (e.g., SLEDGE, SLEIGN, the NAG routine SL02FM). All excel at providing eigenfunction estimates at a nite set of points but only the NAG routine provides interpolation capability, and this by a fairly crude method (especially when compared with the sophistication of its eigenvalue solver). We describe an accurate, eecient method of approximating Sturm-Liouville eigenfunctions based on a small sample of given accurate values. Even though the theory is developed only for regular problems, the algorithm can be extended to many singular cases.
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