InhaltsangabePreface. Acknowledgements. 1: Introduction. 2: Mathematical Properties. 1. A reference differential equation. 2. A regularization procedure. 3. An outline of the exponential fitting procedure. 4. The theory of the exponential fitting approach. 3: Constructions of EF Formulae for Functions with Oscillatory or Hyperbolic Variation. 1. The Schrödinger equation. 2. Functions etas(Z), s = -1, 0, 1, 2,. 3. A six-step flow chart. 4: Numerical Differentiation Quadrature and Interpolation. 1. Numerical differentiation. 2. Quadrature. 3. Interpolation. 5: Linear Multistep Solvers for Ordinary Differential Equations. 1. First order equations. 2. Second order equations. 6: RungeKutta Solvers for Ordinary Differential Equations. 1.Formalism and construction scheme for classical RungeKutta methods. 2. Exponentialfitted explicit methods. 3. Exponentialfitted implicit methods. 4. Some related research: RungeKuttaNyström methods. CD contents. Topic Index.

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