Second-Derivative-Free Variant of the Chebyshev Method for Nonlinear Equations [PDF]
Journal of Optimization Theory and Applications, 2000 In this paper, we introduce a numerical method for nonlinear equations, based on the Chebyshev third-order method, in which the second-derivative operator is replaced by a finite difference between first derivatives. We prove a semilocal convergence theorem which guarantees local convergence with R-order three under conditions similar to those of the ...
Hernández, M.A. [0000-0001-5478-2958]
openaire +5 more sources
Implicit methods for the simple wave equation [PDF]
, 1984 A family of finite difference methods is developed for the numerical solution of the simple wave equation. Local truncation errors are cal- culated for each member of the family and each is analyzed for stability.
Tirmizi, S I A, Twizell, E H
core +6 more sources
, 2022 The dysregulation of dopamine, a neuromodulator, is associated with a broad spectrum of brain disorders, including Parkinson’s disease, addiction, and schizophrenia.
Seongtak Kang (13215903) +4 more
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Second derivative General Linear Method in Nordsieck form
Journal of Numerical Analysis and Approximation Theory, 2019 This paper considers the construction of second derivative general linear methods (SD-GLM) from hybrid LMM and their transformation to Nordsieck GLM. How the Runge-Kutta starters for the methods can be derived are given.
Robert I. Okuonghae +1 more
doaj +7 more sources
Optimal One-Point Iterative Function Free from Derivatives for Multiple Roots
Mathematics, 2020 We suggest a derivative-free optimal method of second order which is a new version of a modification of Newton’s method for achieving the multiple zeros of nonlinear single variable functions.
Deepak Kumar +2 more
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High order second derivative multistep collocation methods for ordinary differential equations [PDF]
Iranian Journal of Numerical Analysis and OptimizationIn this paper, we introduce second derivative multistep collocation meth-ods for the numerical integration of ordinary differential equations (ODEs).
S. Fazeli
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Construction of Nordsieck Second Derivative General Linear Methods with Inherent Quadratic Stability
Mathematical Modelling and Analysis, 2017 This paper describes the construction of second derivative general linear methods in Nordsieck form with stability properties determined by quadratic stability functions. This is achieved by imposing the so–called inherent quadratic stability conditions.
Akram Movahedinejad +2 more
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Corner Detection Using Second-Order Generalized Gaussian Directional Derivative Representations
, 2021 Corner detection is a critical component of many image analysis and image understanding tasks, such as object recognition and image matching. Our research indicates that existing corner detection algorithms cannot properly depict the difference between ...
Sun, Changming, Zhang, Weichuan
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Global error estimation for explicit second derivative general linear methods
, 2022 In this paper, we describe an approach to estimate the global error for explicit second derivative general linear methods based on the approach which has been already used for global error estimation of explicit general linear methods.
Izzo G. +3 more
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Numerical methods of the variable-order Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivative [PDF]
, 2012 Australian Research Council [DP1094333]; Natural Science Foundation of Fujian province [2009J01014]Rayleigh-Stokes problems have in recent years received much attention due to their importance in physics.
Chen, Y. +5 more
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