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B-spline polynomials models for analyzing growth patterns of Guzerat young bulls in field performance tests. [PDF]
Sousa RC +5 more
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Advanced stability analysis of a fractional delay differential system with stochastic phenomena using spectral collocation method. [PDF]
Xie M +4 more
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Computational investigation of stochastic Zika virus optimal control model using Legendre spectral method. [PDF]
Zhu J +5 more
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Taylor-Galerkin method for solving higher-order nonlinear complex differential equations. [PDF]
Humayun Kabir M +2 more
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Legendre Polynomial Expansion for Axial Transport Approximations
Nicholas Herring
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Legendre Polynomials and Legendre Functions
2021Legendre polynomials and, respectively, Legendre functions are one of the most important functions in physics. In this chapter, we will discuss and derive corresponding program codes supporting complex arguments and complex indices. The code is freely available.
W. Schweizer
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Introduction to the Fast Multipole Method, 2019
Link to: physicspages home page. To leave a comment or report an error, please use the auxiliary blog. Post date: 1 Oct 2012. References: Griffiths, David J. (2005), Introduction to Quantum Mechanics, 2nd Edition; Pearson Education Problem 3.25. Starting
Victor Anisimov, James J.P. Stewart
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Link to: physicspages home page. To leave a comment or report an error, please use the auxiliary blog. Post date: 1 Oct 2012. References: Griffiths, David J. (2005), Introduction to Quantum Mechanics, 2nd Edition; Pearson Education Problem 3.25. Starting
Victor Anisimov, James J.P. Stewart
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A hyperelliptic saga on a generating function of the squares of Legendre polynomials
Journal of Experimental Mathematics, 2023We decompose the generating function ∑ (2n choose n) Pn(y)2 zn of the squares of Legendre polynomials as a product of periods of hyperelliptic curves. These periods satisfy a family of second order differential equations.
Mark van Hoeij +2 more
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