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We consider the solution of the one-dimensional Schrödinger problem over an infinite integration interval. The infinite problem is regularized by truncating the integration interval and imposing the appropriate boundary conditions at the truncation points. The Schrödinger problem is then solved on the truncated integration interval using one of the(More)
This paper is the first approach to the solution of Volterra integral equation by exponential fitting methods. We have developed a Direct Quadrature method, which uses a class of ef-based quadrature rules adapted to the current problem to solve. We have analyzed the convergence of the method and have found different formulas for the coefficients, which(More)
We consider some typical numerical operations on functions (differentiation, integration, solving differential equations, interpolation) and show how the standard algorithms can be modified to become efficient when the functions are oscillatory, of the form y(x) = f1(x) sin(omega x) + f2(x) cos(omega x) where f1(x) and f2(x) are smooth functions. The(More)