Construction of a transmutation for the one-dimensional Schr\"odinger   operator and a representation for solutions
  A new representation for solutions of the one-dimensional Schr\"odinger equation -u"+q(x)u=w^2u is obtained in the form of a series possessing the following attractive feature. The truncation error is w-independent for all real w. For the coefficients of the series simple recurrent integration formulas are obtained which make the new representation applicable for computation. 
Vladislav V. Kravchenko
math-ph math.CA math.MP