Very-high-precision solutions of a class of Schrödinger type equations
Abstract
We investigate a method to solve a class of Schr{\"o}dinger equation eigenvalue problems numerically to very high precision P(from thousands to a million of decimals). The memory requirement, and the number of high precision algebraic operations, of the method scale essentially linearly with Pwhen only eigenvalues are computed. However, since the algorithms for multiplying high precision numbers scale at a rate between P^{1.6}and...
Paper Details
Title
Very-high-precision solutions of a class of Schrödinger type equations
Published Date
Sep 1, 2011
Volume
182
Issue
9
Pages
1810 - 1813
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