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Iterative Methods and Applications [PDF]

open access: yesJournal of Applied Mathematics, 2014
An important branch of nonlinear analysis theory, applied in the study of nonlinear phenomena in engineering, physics, and life sciences, is related to the existence of fixed points of nonlinear mappings, the approximation of fixed points of nonlinear operators, of zeros of nonlinear operators, and the approximation of solutions of variational ...
MARINO, Giuseppe   +4 more
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The iterative transformation method [PDF]

open access: yesInternational Journal of Non-Linear Mechanics, 2019
In a transformation method, the numerical solution of a given boundary value problem is obtained by solving one or more related initial value problems. Therefore, a transformation method, like a shooting method, is an initial value method. The main difference between a transformation and a shooting method is that the former is conceived and derive its ...
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The non-iterative transformation method [PDF]

open access: yesInternational Journal of Non-Linear Mechanics, 2019
The Blasius flow is the idealized flow of a viscous fluid past an infinitesimally thick, semi-infinite flat plate. The definition of a non-iterative transformation method for the celebrated Blasius problem is due to T{ö}pfer and dates more than a century ago.
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Convergence of Iterative Methods [PDF]

open access: yesProgress of Theoretical Physics, 1953
For various iterative methods in eigenvalue problem which are used to solve the bound states and scattering problems, we introduce the coefficient of convergency which ·indicates not only the convergency condition when the iteration is performed endlessly, but also the efficiency of successive approximation for· any finite step.
openaire   +1 more source

AN ITERATIVE METHOD OF SOLVING A GAME [PDF]

open access: yesThe Annals of Mathematics, 1951
Abstract : In the paper, demonstration is made of the validity of an iterative procedure suggested by George W. Brown for a two-person game. This method corresponds to each player choosing in turn the best pure strategy against the accumulated mixed strategy of his opponent up to then.
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Asymptotic iteration method for solving Hahn difference equations. [PDF]

open access: yesAdv Differ Equ, 2021
MacQuarrie L, Saad N, Islam MS.
europepmc   +1 more source

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