1 research outputs found
Very-high-precision solutions of a class of Schr{\"o}dinger equations
We investigate a method to solve a class of Schr{\"o}dinger equation
eigenvalue problems numerically to very high precision (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 when
only eigenvalues are computed. However, since the algorithms for multiplying
high precision numbers scale at a rate between and , the time requirement of our method increases somewhat faster
than .Comment: 4 page contribution to proceedings of the Conference on Computational
Physics, June 23rd-26th 2010 in Trondheim (submitted to Computer Physics
Communications