A Method for Constructing Local Monotone Piecewise Cubic Interpolants

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Previous article Next article A Method for Constructing Local Monotone Piecewise Cubic InterpolantsF. N. Fritsch and J. ButlandF. N. Fritsch and J. Butlandhttps://doi.org/10.1137/0905021PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAboutAbstractA method is described for producing monotone piecewise cubic interpolants to monotone data which is completely local and which is extremely simple to implement.[1] K. W. Brodlie, K. W. Brodlie, A review of methods for curve and function drawingMathematical Methods in Computer Graphics and Design, Academic Press, London, 1980, 1–37 Google Scholar[2] J. Butland, A method of interpolating reasonable-shaped curves through any data, Proc. of Computer Graphics 80, Online Publications Ltd., Northwood Hills, Middlesex, UK, 1980, 409–422 Google Scholar[3] F. N. Fritsch and , J. Butland, An improved monotone piecewise cubic interpolation algorithm, Rep., UCRL-85104, Lawrence Livermore Laboratory, Livermore, CA, 1980, October Google Scholar[4] F. N. Fritsch and , R. E. Carlson, Monotone piecewise cubic interpolation, SIAM J. Numer. Anal., 17 (1980), 238–246 10.1137/0717021 81g:65012 0423.65011 LinkISIGoogle ScholarKeywordsmonotone interpolationcubic Hermite interpolation Previous article Next article FiguresRelatedReferencesCited ByDetails The PUMAS libraryComputer Physics Communications, Vol. 279 | 1 Oct 2022 Cross Ref Microstructure-Sensitive Uncertainty Quantification for Crystal Plasticity Finite Element Constitutive Models Using Stochastic Collocation MethodsFrontiers in Materials, Vol. 9 | 27 September 2022 Cross Ref Determination of the Effects of Transcutaneous Auricular Vagus Nerve Stimulation on the Heart Rate Variability Using a Machine Learning PipelineBioelectricity, Vol. 4, No. 3 | 1 Sep 2022 Cross Ref Mach and Froude Numbers on MarsThe Planetary Science Journal, Vol. 3, No. 7 | 19 July 2022 Cross Ref Implementation of free-space Fourier Ptychography with near maximum system numerical apertureOptics Express, Vol. 30, No. 12 | 23 May 2022 Cross Ref Eye Tracking-Based Stress Classification of Athletes 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