D A Drabold and G L Jones 1991 J. Phys. A: Math. Gen. 24 4705 doi:10.1088/0305-4470/24/19/029
D A Drabold and G L Jones
Show affiliationsThe authors use information theory (the principle of maximum entropy) to develop an approach to the problem of extrapolating power series. They suggest a well-defined way to map the extrapolation problem onto a moment problem, and show that the use of additional information about the function being extrapolated (such as asymptotic behaviour for large arguments) is important to obtaining accurate extrapolations. They apply the method to the virial expansion for the classical hard sphere equation of state, the quantum harmonic oscillator with octic perturbation and the symmetric Anderson model of relevance to magnetic impurities in metals. In each case the method yields excellent pointwise estimates of the function being extrapolated.
05.70.Ce Thermodynamic functions and equations of state
75.30.Hx Magnetic impurity interactions
02.60.Ed Interpolation; curve fitting
64.10.+h General theory of equations of state and phase equilibria
40C15 Function-theoretic methods (including power series methods and semicontinuous methods)
40G10 Abel, Borel and power series methods
41A46 Approximation by arbitrary nonlinear expressions; widths and entropy
Condensed matter: electrical, magnetic and optical
Condensed matter: structural, mechanical & thermal
Issue 19 (7 October 1991)
D A Drabold and G L Jones 1991 J. Phys. A: Math. Gen. 24 4705
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