81. Asymptotic Expansions For The Laplace Approximations For Itô File Format PDF/Adobe Acrobat Quick View http://www.math.titech.ac.jp/~tosho/Preprints/pdf/149-rev.pdf

82. Low-Density Expansion Of The Solution Of Mean Spherical Approximation For Ion− by ZP Liu 2002 - Cited by 6 - Related articles http://pubs.acs.org/doi/abs/10.1021/jp0140264

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83. Stochastic Expansions And Moment Approximations For Three Indirect File Format PDF/Adobe Acrobat Quick View http://www.aueb.gr/deos/seminars/Arvanitis29-1-09.pdf

84. Scientific Commons Asymptotic Expansions And Bootstrap by M Ichikawa Cited by 9 - Related articles http://en.scientificcommons.org/39157701

85. 1.2.2 Padé Approximation File Format PDF/Adobe Acrobat Quick View http://amath.colorado.edu/courses/7400/2008fall/003/Pade.pdf

86. Ingentaconnect Asymptotic Expansions And Bootstrap Approximations In Factor Anal by M Ichikawa 2002 - Cited by 9 - Related articles http://www.ingentaconnect.com/content/ap/mv/2002/00000081/00000001/art01991

87. Asymptotic. Expansions For Multivariate Polynomial Approximation File Format PDF/Adobe Acrobat Quick View http://madoc.bib.uni-mannheim.de/madoc/volltexte/2007/1597/pdf/237_1999.pdf

88. An Expansion In The Exponent For Compound Binomial Approximations File Format PDF/Adobe Acrobat Quick View http://www.mathematik.uni-trier.de:8080/~roos/eeb38.pdf

89. Uniform Approximations Of Bernoulli And Euler Polynomials In Terms File Format PDF/Adobe Acrobat Quick View http://oai.cwi.nl/oai/asset/1235/1235A.pdf

90. CERN Document Server: Record#375960: Numerical Approximations Using Chebyshev Po by B Mihaila 1999 - Cited by 17 - Related articles http://cdsweb.cern.ch/record/375960

Skip to main content CERN Document Server Related links CDS Indico Library Bulletin ... EDMS Main navigation links: Search Submit Help Your CDS ... Information References Discussion Fulltext Preprint Report number physics/9901005 Title Numerical Approximations Using Chebyshev Polynomial Expansions Author(s) Mihaila, B Mihaila, L N Imprint 8 Jan 1999. - 8 p. Subject category Mathematical Physics and Mathematics Abstract The aim of this work is to find numerical solutions for differential equations by expanding the unknown function in terms of Chebyshev polynomials and solving a system of linear equations directly for the values of the function at the extrema (or zeros) of the Chebyshev polynomial of order N. The solutions are exact at these points, apart from round-off computer errors and the convergence of other numerical methods used in connection to solving the linear system of equations. Applications to initial-value problems in time-dependent quantum field theory, and second order boundary-value problems in fluid dynamics are presented. Other source SLAC Email contact: bogdan.mihaila@unh.edu

91. Items Where Subject Is "A - C > Approximations And Expansions" - The Mathematica Approximations and expansions (22). Group by Creators Item Type. Jump to A C D F G H J K L N O P R S Y http://eprints.maths.ox.ac.uk/view/subjects/M41.html

@import url(/style/auto.css); @import url(/style/print.css); @import url(/style/nojs.css); The Mathematical Institute, University of Oxford, Eprints Archive Home About Browse by Year ... Up a level Export as ASCII Citation BibTeX Dublin Core EP3 XML EndNote Eprints Application Profile HTML Citation METS Object IDs OpenURL ContextObject Refer Reference Manager RSS 2.0 RSS 1.0 Atom Mathematics Subject Classification ... A - C Approximations and expansions Group by: Creators Item Type Jump to: A C D F ... Y Number of items at this level: A Addison, J. A. and Howison, S. D. and King, J. R. Ray methods for Free Boundary Problems. Quarterly of Applied Mathematics . (In Press) C Chapman, S. J. A hierarchy of models for type-II superconductors. SIAM Review, 42 (4). pp. 555-598. Chapman, S. J. and Howls, C. J. and King, J. R. and Olde Daalhius, A. B. Why is a shock not a caustic? The higher-order Stokes phenomenon and smoothed shock formation. Nonlinearity, 20 (10). pp. 2425-2452. ISSN 0951-7715 Coats, J. High frequency asymptotics of antenna/structure interactions. PhD thesis, University of Oxford. D Dew, N.

92. Cumulant Approximations And Renormalized Wigner-Kirkwood Expansion For Quantum B by A Royer 1985 - Cited by 1 - Related articles http://adsabs.harvard.edu/abs/1985PhRvA..32.1729R

Sign on SAO/NASA ADS Physics Abstract Service Find Similar Abstracts (with default settings below Electronic Refereed Journal Article (HTML) References in the article Citations to the Article (2) ... Translate This Page Title: Cumulant approximations and renormalized Wigner-Kirkwood expansion for quantum Boltzmann densities Authors: Affiliation: Publication: Physical Review A (General Physics), Volume 32, Issue 3, September 1985, pp.1729-1743 ( PhRvA Homepage Publication Date: Origin: AIP, APS PACS Keywords: Quantum statistical mechanics, Semiclassical theories and applications DOI: 10.1103/PhysRevA.32.1729 Bibliographic Code: Abstract V =p /2m+V, is expressed as a cumulant expansion in powers of v=V-W, where W(x)=V(X)+V'(X)(x-X)+(1/2)V''(X )(x-X) V ). By Taylor expanding v(x) about X in the cumulant expansion, we obtain an expansion which is a resummation over powers of V''(X) of the Wigner-Kirkwood (WK) expansion of lnrho V V ). In lowest order, it yields an approximation initially proposed by Miller. Bibtex entry for this abstract Preferred format for this abstract (see Preferences Find Similar Abstracts: Use: Authors Title Keywords (in text query field) Abstract Text Return: Query Results Return items starting with number Query Form Database: Astronomy Physics arXiv e-prints

93. ASYMPTOTIC APPROXIMATIONS OF INTEGRALS AN INTRODUCTION, WITH File Format Adobe PostScript View as HTML http://etna.mcs.kent.edu/vol.19.2005/pp58-83.dir/abstr58-83.ps

94. Approximations For The Late Coefficients In Asymptotic Expansions File Format PDF/Adobe Acrobat Quick View http://www.intlpress.com/MAA/p/1995/2_4/MAA-2-4-475-489.pdf

95. MHF Preprint Series Asymptotic Expansions For The Laplace File Format PDF/Adobe Acrobat Quick View http://www.math.kyushu-u.ac.jp/files/publication/file/afc1ba5c2535d34e16fd7ce5f3

96. First Steps In Numerical Analysis Note that this expansion has only oddpowered terms, although the polynomial approximation is of degree (2k - 1 ) - it has only k terms. http://kr.cs.ait.ac.th/~radok/math/mat7/step5.htm

STEP 5 ERRORS Approximation to functions An important procedure in Analysis is to represent a given function as an infinite serie s of terms involving simpler or otherwise more appropriate functions. Thus, if f is the given function, it may be represented as the series expansion involving the set of functions ( f i ). Mathematicians have spent a lot of effort in discussing the convergence of series , i.e., on defining conditions for which the partial sum approximates the function value f (x) ever more closely as n increases. In Numerical Analysis , we are primarily concerned with such convergent series; computation of the sequence of partial sums is an approximation process in which the truncation error may be made as small as we please by taking a sufficient number of terms into account. Taylor series The most important expansion to represent a function is the Taylor series . If f is suitably smooth in the neighbourhood of some chosen point x where here h = x - x denotes the displacement from x to the point x in the neighbourhood, and the

97. Constructive Approximation Constructive Approximation is an international mathematics journal dedicated to Approximations and Expansions and related research in computation, http://www.springer.com/mathematics/numerical and computational mathematics/jour

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98. MIMS EPrints - Subject: 41 Approximations And Expansions Subject 41 Approximations and expansions. MIMS Preprint Server Subjects (1133) MSC 2000, the AMS s Mathematics Subject Classification (1085) http://eprints.ma.man.ac.uk/view/subjects/MSC_41.html

@import url(http://eprints.ma.man.ac.uk/eprints.css); @import url(http://eprints.ma.man.ac.uk/eprints.css); @import url(http://eprints.ma.man.ac.uk/print.css); You are here: MIMS EPrints MIMS EPrints MIMS EPrints home about browse search ... postgraduate admissions Subject: 41 Approximations and expansions MIMS Preprint Server Subjects MSC 2000, the AMS's Mathematics Subject Classification 41 Approximations and expansions Number of items: Alexei Bespalov and Norbert Heuer Natural hp-BEM for the electric field integral equation with singular solutions. P.E. Kloeden and T. Shardlow Younes Chahlaoui Low-rank approximation and model reduction. PhD thesis, University Catholic of Louvain, Louvain-La-Neuve, Belgium Hyenkyun Woo Sungwhan Kim Jin Keun Seo William Lionheart and Eung Je Woo A direct tracking method for a grounded conductor inside a pipeline from capacitance measurements. Inverse Problems in Science and Engineering . ISSN C. Van Berkel and W. R. B. Lionheart Reconstruction of a grounded object in an electrostatic halfspace with an indicator function. Inverse Problems in Science and Engineering . ISSN J.W. Dold

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