On the adaptive selection of the parameter in stabilized finite element approximations [PDF]
, 2013 A systematic approach is developed for the selection of the stabilization parameter for stabilized finite element approximation of the Stokes problem, whereby the parameter is chosen to minimize a computable upper bound for the error in the approximation.
Rankin, Richard Andrew Robert +3 more
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An Accelerated Method for Derivative-Free Smooth Stochastic Convex Optimization
, 2022 We consider an unconstrained problem of minimizing a smooth convex function which is only available through noisy observations of its values, the noise consisting of two parts.
Dvurechensky, Pavel +2 more
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A second order convergent trial method for a free boundary problem in three dimensions [PDF]
, 2015 The present article is concerned with the solution of a generalized Bernoulli free boundary problem in three spatial dimensions. We parametrize the free boundary under consideration over the sphere and apply a trial method which updates the free boundary
Harbrecht, Helmut, Bugeanu, Monica
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An optimal fourth-order second derivative free iterative method for nonlinear scientific equations
Kuwait Journal of Science, 2023 In the present paper, we develop an efficient second derivative free two-step optimal fourth-order iterative method for nonlinear equations. We explore the convergence criteria of the proposed method and also exhibit its validity and efficiency by ...
Ghulam Akbar Nadeem +2 more
doaj +1 more source
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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On Derivative Free Multiple-Root Finders with Optimal Fourth Order Convergence
Mathematics, 2020 A number of optimal order multiple root techniques that require derivative evaluations in the formulas have been proposed in literature. However, derivative-free optimal techniques for multiple roots are seldom obtained.
Janak Raj Sharma +2 more
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Second-derivative-free variant of the Chebyshev method for nonlinear equations. [PDF]
, 2000 In this paper, we introduce a numerical method for nonlinear equations, based on the Chebyshev third-order method, in which the second-derivative operator is replaced by a finite difference between first derivatives.
Hernández, M.A. [0000-0001-5478-2958]
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IEEE Access, 2021 In this paper, we propose an inertial derivative-free projection method for solving convex constrained nonlinear monotone operator equations (CNME). The method incorporates the inertial step with an existing method called derivative-free projection (DFPI)
Auwal Bala Abubakar +2 more
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SEMI-LOCAL CONVERGENCE OF A DERIVATIVE-FREEMETHOD FOR SOLVING EQUATIONS
Проблемы анализа, 2021 We present the semi-local convergence analysis of atwo-step derivative-free method for solving Banach space valuedequations. The convergence criteria are based only on the firstderivative and our idea of recurrent functions.
Gus Argyros +3 more
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Discrete gradient method : Derivative-free method for nonsmooth optimization [PDF]
, 2008 A new derivative-free method is developed for solving unconstrained nonsmooth optimization problems. This method is based on the notion of a discrete gradient.
Bagirov, A. M. +4 more
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