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Local Convergence of Inexact Newton-Like Method under Weak Lipschitz Conditions
The paper develops the local convergence of Inexact Newton-Like Method (INLM) for approximating solutions of nonlinear equations in Banach space...
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Interval Matrices with Monge Property
We generalize the Monge property of real matrices for interval matrices. We define two classes of interval matrices with the Monge property—in a...
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Adaptive hybridizable discontinuous Galerkin methods for nonstationary convection diffusion problems
This work is concerned with adaptive hybridizable discontinuous Galerkin methods of nonstationary convection diffusion problems. We address first the...
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Structured backward error analysis for generalized saddle point problems
Recently, the structured backward errors for the generalized saddle point problems with some different structures have been studied by some authors,...
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On the convergence of Newton-like methods using restricted domains
We present a new semi-local convergence analysis for Newton-like methods in order to approximate a locally unique solution of a nonlinear equation...
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Local convergence and the dynamics of a two-point four parameter Jarratt-like method under weak conditions
We present a local convergence analysis of a two-point four parameter Jarratt-like method of high convergence order in order to approximate a locally...
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Error estimation for quadrature by expansion in layer potential evaluation
In boundary integral methods it is often necessary to evaluate layer potentials on or close to the boundary, where the underlying integral is...
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Analytic enclosure of the fundamental matrix solution
This work describes a method to rigorously compute the real Floquet normal form decomposition of the fundamental matrix solution of a system of...
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First Order Perturbation and Local Stability of Parametrized Systems
A problem frequently encountered in geometric constraint solving and related settings is to ascertain sensitivity of solutions arising from a well...
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Improved convergence analysis for Newton-like methods
We present a new semilocal convergence analysis for Newton-like methods in order to approximate a locally unique solution of an equation in a Banach...
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A study on the local convergence and the dynamics of Chebyshev–Halley–type methods free from second derivative
We study the local convergence of Chebyshev-Halley-type methods of convergence order at least five to approximate a locally unique solution of a...
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On the maximum relative error when computing integer powers by iterated multiplications in floating-point arithmetic
We improve the usual relative error bound for the computation of x n through iterated multiplications by x in binary floating-point arithmetic. The...
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Weaker convergence conditions for the secant method
We use tighter majorizing sequences than in earlier studies to provide a semilocal convergence analysis for the secant method. Our sufficient...
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Adaptive heterogeneous multiscale methods for immiscible two-phase flow in porous media
In this contribution, we present the first formulation of a heterogeneous multiscale method for an incompressible immiscible two-phase flow system...
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On a new semilocal convergence analysis for the Jarratt method
We develop a new semilocal convergence analysis for the Jarratt method. Through our new idea of recurrent functions, we develop new sufficient...
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Convergence of Halley’s method for operators with the bounded second Fréchet-derivative in Banach spaces
In this paper, we present a semi-local convergence analysis of Halley’s method for approximating a locally unique solution of a nonlinear equation in...
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Extending the applicability of Newton’s method using nondiscrete induction
We extend the applicability of Newton’s method for approximating a solution of a nonlinear operator equation in a Banach space setting using...
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Unified majorizing sequences for Traub-type multipoint iterative procedures
We present a unified approach to generating majorizing sequences for multipoint iterative procedures in order to solve nonlinear equations in a...
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Numerical studies for the variable-order nonlinear fractional wave equation
In this paper, the explicit finite difference method (FDM) is used to study the variable order nonlinear fractional wave equation. The fractional...