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Two-dimensional filtering and the second derivative method
Geophysics, 1966Abstract The data-processing operations of second derivative formulas are equivalent to two-dimensional digital filtering operations. Therefore any coefficient set can be described unambiguously by its two-dimensional frequency response.
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The use of second derivatives in the least-squares method
Journal of Molecular Spectroscopy, 1983Abstract A modification of the least-squares method to include second derivatives is proposed. This is particularly advantageous in spectroscopic problems involving strong perturbations and level crossing. The equations for this modification are derived.
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Optimal Second Derivative Methods for Stiff Systems
1974In implementing numerical methods for stiff ordinary differential equations several difficulties arise which are not usually encountered with methods designed for non-stiff equations. These difficulties include the choice of the basic formula, the choice of the iteration scheme to solve the implicit set of equations associated with each step, and the ...
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Escaping local minima with local derivative-free methods: a numerical investigation
Optimization, 2022Lindon Roberts +2 more
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On the construction of second derivative diagonally implicit multistage integration methods for ODEs
Applied Numerical Mathematics, 2014Gholamreza Hojjati +2 more
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Trigonometrical fitting conditions for two derivative Runge-Kutta methods
Numerical Algorithms, 2017Theodore Simos +2 more
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On explicit two-derivative two-step Runge–Kutta methods
Computational and Applied Mathematics, 2018Turgut Öziş
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Maximal order for second derivative general linear methods with Runge–Kutta stability
Applied Numerical Mathematics, 2011Gholamreza Hojjati, Ali Abdi
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