Results 281 to 290 of about 1,279,657 (325)
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Implementation of second derivative general linear methods
Calcolo, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdi Ali, Conte Dajana
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Tensor Methods for Unconstrained Optimization Using Second Derivatives
SIAM Journal on Optimization, 1991The authors discuss an unconstrained minimization algorithm in which steps are generated by augmenting the quadratic Newton model by low-rank third- and fourth- order terms. These additional tensor terms are chosen to make the model function interpolate function and derivative information at previous iterates.
Schnabel, Robert B., Chow, Ta-Tung
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Reanalysis Method for Second Derivatives of Static Displacement
International Journal of Computational Methods, 2019The reanalysis method to obtain the second derivatives of static displacement is innovatively proposed in this paper. This method is based on the combined approximations method. The reanalysis formulations of the second derivative of static displacement are derived to provide a programmatic procedure of formulations construction.
Wenjie Zuo, Jiaxin Fang, Zengming Feng
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Explicit Nordsieck second derivative general linear methods for ODEs
ANZIAM Journal, 2022The paper deals with the construction of explicit Nordsieck second derivative general linear methods with \(s\) stages of order \(p\) with \(p=s\) and high stage order \(q=p\) with inherent Runge–Kutta or quadratic stability properties. Satisfying the order and stage order conditions together with inherent stability conditions leads to methods with ...
P. RAMAZANI +3 more
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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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On Chebyshev‐type methods free from second derivative
Communications in Numerical Methods in Engineering, 2007AbstractIn this paper, we present a new Chebyshev‐type method free from second derivative. An analysis of convergence shows that the new method has fourth‐order convergence. Per iteration, the method requires one evaluation of the function and two of its first derivative and therefore this method has the efficiency index equal to 1.587.
Kou, Jisheng, Li, Yitian
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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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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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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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Implicit–explicit second derivative diagonally implicit multistage integration methods
Computational and Applied Mathematics, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ali Abdi +2 more
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