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Orthogonal cubic splines for the numerical solution of nonlinear parabolic partial differential equations [PDF]

open access: yesMethodsX, 2023
In this paper, a new orthogonal basis for the space of cubic splines has been introduced. A linear combination of cubic orthogonal splines is considered to approximate the functions in which the coefficients are calculated with numerically stable ...
Javad Alavi, Hossein Aminikhah
doaj   +2 more sources

Restricted cubic splines for modelling periodic data. [PDF]

open access: yesPLoS ONE, 2020
In regression modelling the non-linear relationships between explanatory variables and outcome are often effectively modelled using restricted cubic splines (RCS).
Lara Lusa, Črt Ahlin
doaj   +2 more sources

Fast Cubic Spline Interpolation [PDF]

open access: greenCoRR, 2020
The Numerical Recipes series of books are a useful resource, but all the algorithms they contain cannot be used within open-source projects. In this paper we develop drop-in alternatives to the two algorithms they present for cubic spline interpolation, showing as much of our work as possible to allow for replication or criticsm.
Haysn Hornbeck
openalex   +3 more sources

Analyzing Single Molecule Localization Microscopy Data Using Cubic Splines [PDF]

open access: yesScientific Reports, 2017
The resolution of super-resolution microscopy based on single molecule localization is in part determined by the accuracy of the localization algorithm. In most published approaches to date this localization is done by fitting an analytical function that
Hazen P. Babcock, Xiaowei Zhuang
doaj   +2 more sources

Interpolation of natural cubic spline [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1992
From the result in [1] it follows that there is a unique quadratic spline which bounds the same area as that of the function. The matching of the area for the cubic spline does not follow from the corresponding result proved in [2].
Arun Kumar, L. K. Govil
doaj   +3 more sources

Using linear and natural cubic splines, SITAR, and latent trajectory models to characterise nonlinear longitudinal growth trajectories in cohort studies. [PDF]

open access: goldBMC Med Res Methodol, 2022
Elhakeem A   +11 more
europepmc   +3 more sources

Bundle Block Adjustment with 3D Natural Cubic Splines

open access: yesSensors, 2009
Point-based methods undertaken by experienced human operators are very effective for traditional photogrammetric activities, but they are not appropriate in the autonomous environment of digital photogrammetry.
Kiyun Yu, Won Hee Lee
doaj   +3 more sources

Natural cubic splines for the analysis of Alzheimer's clinical trials [PDF]

open access: green, 2022
Donohue MC   +8 more
europepmc   +2 more sources

استخدام بعض طرق الشرائح لتمهيد معدلات الوفاة الخام بجدول الاكتواري المصري [PDF]

open access: yesالمجلة العلمية للدراسات والبحوث المالية والتجارية, 2023
تعتبر عملية تهذيب وتمهيد معدلات الوفاة بعد حسابها خطوة رئيسية عند إنشاء الجداول الإكتوارية. وتهدف هذه الدراسة إلى تقديم بعض طرق شرائح التمهيد ودوال الأساس الشائعة - مثل: الشرائح التكعيبية Cubic splines، شرائح الأساس (B-Splines)، الشرائح التكعيبية ...
السيد الأشقر
doaj   +1 more source

Comparative Numerical Study of Spline-Based Numerical Techniques for Time Fractional Cattaneo Equation in the Sense of Caputo–Fabrizio

open access: yesFractal and Fractional, 2022
This study focuses on numerically addressing the time fractional Cattaneo equation involving Caputo–Fabrizio derivative using spline-based numerical techniques.
Muhammad Yaseen   +3 more
doaj   +1 more source

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