A Variational Method for Second Order Shape Derivatives [PDF]
SIAM Journal on Control and Optimization, 2016 Submitted paper.
Bouchitte G., Fragala I., Lucardesi I.
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High-order Compact Difference Schemes for the Modified Anomalous Subdiffusion Equation [PDF]
, 2015 In this paper, two kinds of high-order compact finite difference schemes for second-order derivative are developed. Then a second-order numerical scheme for Riemann-Liouvile derivative is established based on fractional center difference operator.
Ding, Hengfei, Li, Changpin
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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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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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Trigonometrically-fitted second derivative method for oscillatory problems [PDF]
SpringerPlus, 2014 A continuous Trigonometrically-fitted Second Derivative Method (CTSDM) whose coefficients depend on the frequency and stepsize is constructed using trigonometric basis functions. A discrete Trigonometrically-fitted second derivative method (TSDM) is recovered from the CTSDM as a by-product and applied to solve initial value problems (IVPs) with ...
Ngwane, Fidele, Jator, Samuel
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Study on SPH Viscosity Term Formulations [PDF]
, 2018 For viscosity-dominated flows, the viscous effect plays a much more important role. Since the viscosity term in SPH-governing (Smoothed Particle Hydrodynamics) equations involves the discretization of a second-order derivative, its treatment could be ...
Ma, Q., Shao, S., Zheng, X.
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The Determination of Dendrite Coherency Point Characteristics Using Three New Methods for Aluminum Alloys [PDF]
, 2018 The aim of this work is to give an overview of existing methods and to introduce three new methods for the determination of the Dendrite Coherency Point (DCP) for AlSi10Mg alloys, as well as to compare the acquired values of DCP based on a thermal ...
Djurdjevic, Mile +4 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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Family of One-Step A-Stable Optimized Third Derivative Hybrid Block Methods for Solving General Second-Order IVPs [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2023 This paper introduces three members of a one-step optimized third derivative hybrid block method family for solving general second-order initial value problems.
Saidu Yakubu
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Ostrogradski Formalism for Higher-Derivative Scalar Field Theories [PDF]
, 1998 We carry out the extension of the Ostrogradski method to relativistic field theories. Higher-derivative Lagrangians reduce to second differential-order with one explicit independent field for each degree of freedom.
Alonso J C +14 more
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