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Error Estimates for Some Unstable Continuation Problems

Description: The purpose of this paper is to give a method of approximating u(x,y) by bounded solutions of the elliptic equation when the given data, F(x), f₁(y), and f₂(y), are known only to within a given error. A priori error estimates for the approximation will be given. Since the method involves the solution of a linear programming problem, a posteriori estimates of the error will also be obtained.
Date: 1962
Creator: Cannon, J. R.
Partner: UNT Libraries Government Documents Department
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Resistivity of Vacancy Impurity Pairs

Description: The contribution to electrical resistivity of impurity atoms adjacent to vacancies in metals is calculated. The calculation is based on the Born approximation, which allows separations of the effects of the individual imperfections from interference effects. Lattice relaxation is neglected. The resistivity due to Ag or Zn impurities adjacent to a vacancy in Au is related to the resistivity of the separate imperfections as ∫Ag + vac = ∫ Ag + ∫ vac - 0.11 (∫Ag * ∫vac)^(1/2) ; ∫Zn + vac = ∫Zn + ∫v… more
Date: 1962
Creator: Keller, Joseph M.
Partner: UNT Libraries Government Documents Department
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