Results 31 to 40 of about 1,056,028 (181)

A method with inertial extrapolation step for convex constrained monotone equations

Journal of Inequalities and Applications, 2021
In recent times, various algorithms have been incorporated with the inertial extrapolation step to speed up the convergence of the sequence generated by these algorithms.
Abdulkarim Hassan Ibrahim, Poom Kumam, Auwal Bala Abubakar, Jamilu Abubakar   +3 more
doaj   +1 more source

Discrete Gradient Method: Derivative-Free Method for Nonsmooth Optimization

Journal of Optimization Theory and Applications, 2007
The paper of A. M. Bagirov, B. Karasözen and M. Sezer is a valuable contribution to the numerical-algorithmical part of unconstrained continuous optimization, in fact, to its nonsmooth version, and the corresponding theory is provided, too. It stands in the tradition of nonsmooth analysis and optimization, but it benefits from some insight and ...
Bagirov, A. M., Karasözen, B., Sezer, M.   +2 more
openaire   +2 more sources

Efficient Derivative-Free Class of Seventh Order Method for Non-differentiable Equations

European Journal of Mathematical Analysis, 2023
Many applications from a wide variety of disciplines in the natural sciences and also in engineering are reduced to solving of an equation or a system of equations in a correspondingly chosen abstract area.
oannis K. Argyros, Samundra Regmi, Jinny Ann John, Jayakumar Jayaraman   +3 more
doaj   +1 more source

Entanglement entropy in higher derivative holography

, 2013
We consider holographic entanglement entropy in higher derivative gravity theories. Recently Lewkowycz and Maldacena arXiv:1304.4926 have provided a method to derive the equations for the entangling surface from first principles.
Bhattacharyya, Arpan, Kaviraj, Apratim, Sinha, Aninda   +2 more
core   +1 more source

On free evolution of self gravitating, spherically symmetric waves [PDF]

, 2001
We perform a numerical free evolution of a selfgravitating, spherically symmetric scalar field satisfying the wave equation. The evolution equations can be written in a very simple form and are symmetric hyperbolic in Eddington-Finkelstein coordinates ...
B. Strand, Carsten Gundlach, Carsten Gundlach, Carsten Gundlach, David Garfinkle, H. Friedrich, Jörg Frauendiener, Lior M. Burko, M. A. Scheel, M. A. Scheel, M. Alcubierre, M. Shibata, Mirta S. Iriondo, Oscar A. Reula, Peter Hübner, R. Bartnik, R. L. Marsa, Roberto Gomez, T. W. Baumgarte   +18 more
core   +2 more sources

Re-modified derivative-free iterative method for nonlinear monotone equations with convex constraints

Ain Shams Engineering Journal, 2021
In this note, we propose a modification as an alternative to remove the assumption of uniformly monotone as assumed in Aliyu et al. (2019). Numerical experiment shows that the modification improves the numerical performance of the method.
Abdulkarim Hassan Ibrahim, Poom Kumam
doaj   +1 more source

An Efficient Class of Traub–Steffensen-Type Methods for Computing Multiple Zeros

Axioms, 2019
Numerous higher-order methods with derivative evaluations are accessible in the literature for computing multiple zeros. However, higher-order methods without derivatives are very rare for multiple zeros.
Deepak Kumar, Janak Raj Sharma, Clemente Cesarano   +2 more
doaj   +1 more source

Second order structural phase transitions, free energy curvature, and temperature-dependent anharmonic phonons in the self-consistent harmonic approximation: theory and stochastic implementation

, 2017
The self-consistent harmonic approximation is an effective harmonic theory to calculate the free energy of systems with strongly anharmonic atomic vibrations, and its stochastic implementation has proved to be an efficient method to study, from first ...
Bianco, Raffaello, Calandra, Matteo, Errea, Ion, Mauri, Francesco, Paulatto, Lorenzo   +4 more
core   +3 more sources

Some Iterative Methods Free from Derivatives and Their Basins of Attraction for Nonlinear Equations

Discrete Dynamics in Nature and Society, 2013
First, we make the Jain's derivative-free method optimal and subsequently increase its efficiency index from 1.442 to 1.587. Then, a novel three-step computational family of iterative schemes for solving single variable nonlinear equations is given.
Farahnaz Soleimani, Fazlollah Soleymani, Stanford Shateyi   +2 more
doaj   +1 more source

An Efficient Derivative Free One-Point Method with Memory for Solving Nonlinear Equations

Mathematics, 2019
We propose a derivative free one-point method with memory of order 1.84 for solving nonlinear equations. The formula requires only one function evaluation and, therefore, the efficiency index is also 1.84.
Janak Raj Sharma, Sunil Kumar, Clemente Cesarano   +2 more
doaj   +1 more source