The Padé approximant in theoretical physics /
Collection : Mathematics in science and engineering ; . v. 71 Détails physiques : 1 online resource (xii, 378 pages) : illustrations. ISBN :9780080955803 (electronic bk.); 0080955800 (electronic bk.).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.
Description based on print version record.
Use copy Restrictions unspecified star MiAaHDL
Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. MiAaHDL
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. MiAaHDL
http://purl.oclc.org/DLF/benchrepro0212
digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL
Il n'y a pas de commentaire pour ce document.