Abstract
A novel method of approximating functions of two or more variables given a finite number of coefficients of their power series expansions is explained. The method — partial differential approximation — is effective in representing the characteristic singularities to be expected in functions of two or more variables (typically those arising in multicritical thermodynamic behavior). Consequently, it should prove useful in a range of scientific and engineering contexts. Various questions arising in the systematic theoretical study and practical testing and application of the method are posed. The results of initial theoretical and numerical studies indicate the promise of the approach.
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Fisher, M.E. (1977). Series Expansion Approximants for Singular Functions of Many Variables. In: Landman, U. (eds) Statistical Mechanics and Statistical Methods in Theory and Application. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-4166-6_2
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DOI: https://doi.org/10.1007/978-1-4613-4166-6_2
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