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    Pseudo-Stieltjes calculus: $ \alpha- $pseudo-differentiability, the pseudo-Stieltjes integrability and applications by Caiqin Wang, Hongbin Xie, Zengtai Gong

    Published 2024-11-01
    “…In this paper, the concepts of the $ \alpha- $pseudo-differentiability and the pseudo-Stieltjes integrability are proposed, and the corresponding transformation theorems and Newton–Leibniz formula are established. The obtained results provide a framework for analyzing nonlinear differential equations.…”
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  6. 606

    Vector Solitons of a Coupled Schrödinger System with Variable Coefficients by Juan Carlos Muñoz Grajales

    Published 2016-01-01
    “…Furthermore, some of these solutions are approximated using a Newton-type iteration, combined with a collocation-spectral strategy to discretize the corresponding soliton equations. …”
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  7. 607

    CHRISTIANITY, ART AND TRANSFORMATION by J.W. De Gruchy

    Published 2020-11-01
    “…The first is a paper on “Christianity and Transformation” presented at a symposium on “Christianity and the Arts” at Andover – Newton Theological Seminary, Boston, 26 October, 1999. …”
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  8. 608

    A Numerical Investigation on the Structure of the Zeros of Euler Polynomials by C. S. Ryoo, J. Y. Kang

    Published 2015-01-01
    “…Finally, we show the Julia set of Newton iteration function R(x)=x-En(x)/En′(x).…”
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    The Effects of Minimal Length in Entropic Force Approach by Barun Majumder

    Published 2013-01-01
    “…With Verlinde’s recent proposal which says that gravity can be identified with an entropic force and considering the effects of generalized uncertainty principle in the black hole entropy-area relation we derive the modified equations for Newton’s law of gravitation, modified Newtonian dynamics, and Einstein’s general relativity. …”
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  13. 613

    Numerical Solutions of Singularly Perturbed Reaction Diffusion Equation with Sobolev Gradients by Nauman Raza, Asma Rashid Butt

    Published 2013-01-01
    “…The superiority of the method is also demonstrated by showing comparison with Newton's method.…”
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    Shape Reconstruction for Unsteady Advection-Diffusion Problems by Domain Derivative Method by Wenjing Yan, Jian Su, Feifei Jing

    Published 2014-01-01
    “…By the parametric method, a regularized Gauss-Newton scheme is employed to the shape inverse problem. …”
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    Error Analysis of Galerkin's Method for Semilinear Equations by Tadashi Kawanago

    Published 2012-01-01
    “…The derivation of our results is, however, different from the discussion in his paper and is essentially based on the convergence theorem of Newton’s method and some techniques for deriving it. …”
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