Bibliothèque de L'IMIST/CNRST

Includes bibliographical references and index.

Padé approximant method and some related generalizations / George A. Baker -- Application of Padé approximants to dispersion force and optical polarizability computations / P.W. Langhoff, M. Karplus -- Turbulent diffusion : evaluation of primitive and renormalized perturbation series by Padé approximants and by expansion of Stieltjes transforms into contributions from continuous orthogonal functions / Robert H. Kraichnan -- Padé approximants and linear integral equations / J.S.R. Chisholm -- Series of derivatives of o-Functions / J.S.R. Chisholm, A.K. Common -- Hilbert space and the Padé approximant / D. Masson -- Connection of Padé approximants with stationary variational principles and the convergence of certain Padé approximants / J. Nuttall -- Approximate N/D/ solutions with Padé approximants / D. Masson -- Solution of the N/D equations using the Padé approximant method / A.K. Common -- Padé approximants as a computational tool for soling the Schrödinger and Bethesalpeter equations / Richard W. Haymaker, Leonard Schlessinger -- Solution of the Bethesalpeter equation by means of Padé approximants / J.A. Tjon, H.M. Nieland -- Application of the Padé approximant to a coupled channel problem : Meson-Baryon scattering / J.L. Gammel, M.T. Menzel, J.J. Kubis -- Padé approximant in the nucleon-nucleon system / W.R. Wortman.

In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;<BR id="CRLF">methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and<BR id="CRLF">methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.<BR id="CRLF"><BR id="CRLF">As a result, the book represents a blend of new methods in general computational analysis, <BR id="CRLF">and specific, but also generic, techniques for study of systems theory ant its particular<BR id="CRLF">branches, such as optimal filtering and information compression.

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