Previous article Next article Mean Square Truncation Error in Series Expansions of Random FunctionsJ. L. Brown, Jr.J. L. Brown, Jr.https://doi.org/10.1137/0108003PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] K. L. Jordan, Jr., Minimization of truncation error in series expansions of random processes, Quarterly Progress Report, 52, Research Laboratory of Electronics, Mass. Inst. of Technology, 1959, pp.70–78 Google Scholar[2] Wilbur B. Davenport, Jr. and , William L. Root, An introduction to the theory of random signals and noise, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1958ix+393 MR0092275 0198.24002 Google Scholar[3] R. Courant and , D. Hilbert, Methods of mathematical physics. Vol. I, Interscience Publishers, Inc., New York, N.Y., 1953xv+561 MR0065391 0051.28802 Google Scholar[4] F. G. Tricomi, Integral equations, Pure and Applied Mathematics. Vol. V, Interscience Publishers, Inc., New York, 1957viii+238 MR0094665 0078.09404 Google Scholar[5] K. L. Jordan, Jr., Minimization of truncation error in series expansions of random processes, Quarterly Progress Report, 53, Research Laboratory of Electronics, Mass. Inst. of Technology, 1959, pp. 84–86 Google Scholar[6] H. P. Kramer, Best finite linear approximation to a second order stochastic process, Amer. Math. Soc. Notices, 5 (1958), 201–, (Abstract) Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Reduced Basis Collocation Methods for Partial Differential Equations with Random CoefficientsHoward C. Elman and Qifeng Liao2 July 2013 | SIAM/ASA Journal on Uncertainty Quantification, Vol. 1, No. 1AbstractPDF (439 KB)Balanced Approximation of Stochastic SystemsK. S. Arun and S. Y. Kung17 July 2006 | SIAM Journal on Matrix Analysis and Applications, Vol. 11, No. 1AbstractPDF (3182 KB) Volume 8, Issue 1| 1960Journal of the Society for Industrial and Applied Mathematics History Submitted:07 April 1959Published online:10 July 2006 InformationCopyright © 1960 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0108003Article page range:pp. 28-32ISSN (print):0368-4245ISSN (online):2168-3484Publisher:Society for Industrial and Applied Mathematics