Zobrazeno 1 - 10 of 74 pro vyhledávání: '"Isaac Fried"'
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Akademický článek
Effective High-Order Iterative Methods via the Asymptotic Form of the Taylor-Lagrange Remainder
Autor: Isaac Fried
Publikováno v: Journal of Applied Mathematics, Vol 2014 (2014)
The asymptotic form of the Taylor-Lagrange remainder is used to derive some new, efficient, high-order methods to iteratively locate the root, simple or multiple, of a nonlinear function. Also derived are superquadratic methods that converge contrari
Externí odkaz: https://doaj.org/article/d964f8e115724f58803328a615038c96
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3
Linear and Quadratic Leap-and-Land Trajectory Tracking Algorithms
Autor: Isaac Fried
Publikováno v: Applied Mathematics. 12:587-597
Considered in this note are numerical tracking algorithms for the accurate following of implicit curves. We start with a fixed point on the curve, and then systematically place on it additional points, one after the other. In this note we first go ov
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::7f31f6040baa9309971c4efee15a57c6
https://doi.org/10.4236/am.2021.127042
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4
Gershgorin and Rayleigh Bounds on the Eigenvalues of the Finite-Element Global Matrices via Optimal Similarity Transformations
Autor: Roberto Riganti, Chen Yu, Isaac Fried
Publikováno v: Applied Mathematics. 11:922-941
The large finite element global stiffness matrix is an algebraic, discreet, even-order, differential operator of zero row sums. Direct application of the, practically convenient, readily applied, Gershgorin’s eigenvalue bounding theorem to this mat
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::18d1b9dd891eeff53ccb0f895f87234c
https://doi.org/10.4236/am.2020.119060
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5
Consistency and Stability Issues in the Numerical Integration of the First and Second Order Initial Value Problem
Autor: Isaac Fried
Publikováno v: Applied Mathematics. 10:676-690
In this note we consider some basic, yet unusual, issues pertaining to the accuracy and stability of numerical integration methods to follow the solution of first order and second order initial value problems (IVP). Included are remarks on multiple s
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b3b34e810a631f09bf4f3e729270a8bc
https://doi.org/10.4236/am.2019.108048
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7
Newton, Halley, Pell and the Optimal Iterative High-Order Rational Approximation of √N
Autor: Isaac Fried
Publikováno v: Applied Mathematics. :861-873
In this paper we examine single-step iterative methods for the solution of the nonlinear algebraic equation f (x) = x2 - N = 0 , for some integer N, generating rational approximations p/q that are optimal in the sense of Pell’s equation p2 - Nq2 =
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::22ad1db07f80a7331a1f82a97233e642
https://doi.org/10.4236/am.2018.97059
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8
Weighted Least-Squares for a Nearly Perfect Min-Max Fit
Autor: Ye Feng, Isaac Fried
Publikováno v: Applied Mathematics. :645-654
In this note, we experimentally demonstrate, on a variety of analytic and nonanalytic functions, the novel observation that if the least squares polynomial approximation is repeated as weight in a second, now weighted, least squares approximation, th
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::d1b1ff6a87106f3d5e582f582d491d4d
https://doi.org/10.4236/am.2017.85051
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9
Newton’s Method and an Exact Opposite That Average into Halley’s Method
Autor: Isaac Fried
Publikováno v: Applied Mathematics. :1427-1436
This note is mainly concerned with the creation of oppositely converging and alternatingly converging iterative methods that have the added advantage of providing ever tighter bounds on the targeted root. By a slight parametric perturbation of Newton
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::49a6d087d6da1eadb3376ee3999dddc4
https://doi.org/10.4236/am.2017.810103
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10
The condition of the least-squares finite element matrices
Autor: Isaac Fried
Publikováno v: International Journal for Numerical Methods in Engineering. 106:760-770
Summary A universal, practical, a priori, numerical procedure is presented by which to realistically bind the spectral condition number of the global stiffness matrix generated by the finite element least-squares method. The procedure is then applied
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::2e3fcace1d677e1ba562331cfd4e2799
https://doi.org/10.1002/nme.5146
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