Results 21 to 30 of about 2,835 (158)
Newton-Kantorovich Method for Solving One of the Non-Linear Sturm-Liouville Problems
Due to its importance in physics and applied mathematics, the non-linear Sturm-Liouville problems witnessed massive attention since 1960. A powerful Mathematical technique called the Newton-Kantorovich method is applied in this work to one of the non ...
Hussien A. H. Abugirda +2 more
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NONLINEAR STRUCTURAL ANALYSIS BASED ON THE MODIFIED SEQUENTIAL LOAD METHOD
The article discusses ways to improve the accuracy of solving problems of nonlinear structural mechanics. It is shown that the combination of the method of sequential loading and the Newton-Kantorovich method can improve the accuracy of the solution and ...
Vladilen Petrov
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A process for solving an algebraic equation was presented by Newton in 1669 and later by Raphson in 1690. This technique is called Newton’s method or Newton–Raphson method and is even today a popular technique for solving nonlinear equations in abstract ...
Ioannis K. Argyros +3 more
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Analytical method for the kinematics of the multi-link guiding mechanisms used for vehicle rear axle suspension [PDF]
The paper deals with an analytical method for the kinematic analysis of the multi-link guiding mechanisms used for the rear beam axles of motor vehicles. The method is based on the representation of spatial movement of the axle as a screw motion.
Cătălin Alexandru
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Newton-Kantorovich and Smale uniform type of convergence theorem of a deformed Newton method having the third-order convergence is established in a Banach space for solving nonlinear equations.
Rongfei Lin +4 more
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The evolutionary integral dynamical models of storage systems are addressed. Such models are based on systems of weakly regular nonlinear Volterra integral equations with piecewise smooth kernels. These equations can have non-unique solutions that depend
Denis Sidorov +4 more
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Notions of optimal transport theory and how to implement them on a computer [PDF]
This article gives an introduction to optimal transport, a mathematical theory that makes it possible to measure distances between functions (or distances between more general objects), to interpolate between objects or to enforce mass/volume ...
Levy, Bruno, Schwindt, Erica
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Semilocal Convergence Analysis for Inexact Newton Method under Weak Condition
Under the hypothesis that the first derivative satisfies some kind of weak Lipschitz conditions, a new semilocal convergence theorem for inexact Newton method is presented.
Xiubin Xu, Yuan Xiao, Tao Liu
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PROJECTION-ITERATION REALIZATION OF A NEWTON-LIKE METHOD FOR SOLVING NONLINEAR OPERATOR EQUATIONS
We consider the problem of existence and location of a solution of a nonlinear operator equation with a Fr´echet differentiable operator in a Banach space and present the convergence results for a projection-iteration method based on a Newton-like method
Liudmyla L. Hart
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Time-stepping approach for solving upper-bound problems: Application to two-dimensional Rayleigh-Benard convection [PDF]
An alternative computational procedure for numerically solving a class of variational problems arising from rigorous upper-bound analysis of forced-dissipative infinite-dimensional nonlinear dynamical systems, including the Navier-Stokes and Oberbeck ...
Baole Wen +8 more
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