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Modified Halley’s method free from second derivative
Applied Mathematics and Computation, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jisheng Kou, Yitian Li, Xiuhua Wang 0002
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On a family of second-derivative-free variants of Chebyshev’s method
Applied Mathematics and Computation, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jisheng Kou, Yitian Li, Xiuhua Wang 0002
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Second-derivative-free variants of Cauchy’s method
Applied Mathematics and Computation, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A second derivative SQP method: global convergence
2009Sequential quadratic programming (SQP) methods form a class of highly efficient algorithms for solving nonlinearly constrained optimization problems. Although second derivative information may often be calculated, there is little practical theory that justifies exact-Hessian SQP methods.
Gould, N I M, Robinson, DP
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An analysis of some second derivative methods
Geophysics, 1962Abstract Second vertical derivative methods developed by Henderson and Zietz, Elkins, Rosenbach, and Danes are applied to various mathematical harmonic fields and the response of the methods is investigated. All methods give good results as long as the wavelength of the anomaly is large compared with station spacing. As the wavelength
Zdenko F. Danes, L. A. Oncley
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Second derivative methods applied to implicit first‐ and second‐order systems
International Journal for Numerical Methods in Engineering, 1984AbstractA wide variety of methods have been proposed for solving implicit second‐order systems of differential equations such as arise in structural and mechanical vibration analyses. Here we discuss a class of methods, based on second derivative formulae, some of which have previously been used by Enright.1 We show them to have desirable analytic and ...
Addison, C. A., Gladwell, I.
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Generalized Second Derivative Linear Multistep Methods Based on the Methods of Enright
International Journal of Applied and Computational Mathematics, 2020It is known that the Dahlquist order and stability barrier limit the suitability of higher-order linear multistep methods for the numerical solution of stiff initial value problems (IVPs). Among approaches to overcome the Dahlquist barrier is the replacement of the initial value method with a well-conditioned boundary value method.
S. E. Ogunfeyitimi, M. N. O. Ikhile
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On second derivative-free zero finding methods
Proceedings of the 2010 American Control Conference, 2010High order root-finding algorithms are constructed from formulas for approximating higher order logarithmic and standard derivatives. These formulas are free of derivatives of second order or higher and use only function evaluation and/or first derivatives at multiple points. Richardson extrapolation technique is applied to obtain better approximations
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Construction of Implicit–Explicit Second-Derivative BDF Methods
Bulletin of the Iranian Mathematical Society, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yousefzadeh, N., Hojjati, G., Abdi, A.
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Partitioned second derivative methods for separable Hamiltonian problems
Journal of Applied Mathematics and Computing, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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