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Some second-derivative-free variants of Chebyshev–Halley methods
Applied Mathematics and Computation, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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Second Derivative Multistep Methods for Stiff Ordinary Differential Equations
SIAM Journal on Numerical Analysis, 1974The difficulty associated with the numerical solution of stiff ordinary differential equations is considered and the stability requirements of methods suitable for stiff equations are described.
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TWO‐DIMENSIONAL FILTERING AND THE SECOND DERIVATIVE METHOD
GEOPHYSICS, 1966The 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. The frequency responses can be represented by surfaces over the two‐dimensional frequency plane.
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Strong stability preserving second derivative diagonally implicit multistage integration methods
Applied Numerical Mathematics, 2020Javad Farzi
exaly
FAD Method to Compute Second Order Derivatives
2002Yuri G. Evtushenko +2 more
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On the construction of second derivative diagonally implicit multistage integration methods for ODEs
Applied Numerical Mathematics, 2014Michał Braś
exaly