Results 1 to 10 of about 36,511 (307)
Orthogonal cubic splines for the numerical solution of nonlinear parabolic partial differential equations [PDF]
MethodsX, 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
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Restricted cubic splines for modelling periodic data. [PDF]
PLoS 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
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Analyzing Single Molecule Localization Microscopy Data Using Cubic Splines [PDF]
Scientific 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
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Interpolation of natural cubic spline [PDF]
International 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
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استخدام بعض طرق الشرائح لتمهيد معدلات الوفاة الخام بجدول الاكتواري المصري [PDF]
المجلة 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
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Fractal 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
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Journal of Approximation Theory, 2022 A new way to form cubic splines that provide interpolants with exactness of degree four is introduced. These cubic spline interpolants are calculated by using tridiagonal matrices which are totally nonnegative and positive definite, and those are very attractive features for the numerical methods.
Robert M. Corless, Leili Rafiee Sevyeri
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Transactions of the American Mathematical Society, 1967 Introduction. The past two decades have witnessed an increasing intensity of investigation, [1]-[26], into the properties of spline functions. These functions, which in their simplest form yield the analytic counterpart of the draftsman's tool for drawing a smooth curve through a number of prescribed points, play an important and fundamental role in ...
Ahlberg, J. H. +2 more
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Journal of Ocean Engineering and Science, 2022 In this work, the Benjamin-Bona-Mahony-Burgers (BBMB) equation is solved using an improvised cubic B-spline collocation technique. This equation describes the propagation of small amplitude waves in a nonlinear dispersive medium, in the modeling of ...
Shallu, V.K. Kukreja
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Machine-Learning Methods on Noisy and Sparse Data
Mathematics, 2023 Experimental and computational data and field data obtained from measurements are often sparse and noisy. Consequently, interpolating unknown functions under these restrictions to provide accurate predictions is very challenging.
Konstantinos Poulinakis +3 more
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