Nonlinear differential inequality [PDF]
, 2010 A nonlinear inequality is formulated in the paper. An estimate of the rate of growth/decay of solutions to this inequality is obtained. This inequality is of interest in a study of dynamical systems and nonlinear evolution equations. It can be applied to
Hoang, N. S., Ramm, A. G.
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Linear ill-posed problems and dynamical systems [PDF]
, 2001 A linear equation Au=f (1) with a bounded, injective, but not boundedly invertible linear operator in a Hilbert space H is studied. A new approach to solving linear ill-posed problems is proposed.
Ramm, Alexander G.
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Numerical Clifford Analysis for Nonlinear Schrodinger Problem [PDF]
, 2007 The aim of this work is to study the numerical solution of the nonlinear Schrodinger problem using a combination between Witt basis and finite difference approximations.
Bernstein +10 more
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Discrete Modified Projection Methods for Urysohn Integral Equations with Green's Function Type Kernels [PDF]
, 2019 In the present paper we consider discrete versions of the modified projection methods for solving a Urysohn integral equation with a kernel of the type of Green's function. For $r \geq 0,$ a space of piecewise polynomials of degree $\leq r $ with respect
Kulkarni, Rekha P., Rakshit, Gobinda
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Comparing hitting time behaviour of Markov jump processes and their diffusion approximations [PDF]
, 2010 Markov jump processes can provide accurate models in many applications, notably chemical and biochemical kinetics, and population dynamics. Stochastic differential equations offer a computationally efficient way to approximate these processes.
Higham, D.J., Szpruch, Lukasz
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On the Convergence of Adaptive Iterative Linearized Galerkin Methods [PDF]
, 2019 A wide variety of different (fixed-point) iterative methods for the solution of nonlinear equations exists. In this work we will revisit a unified iteration scheme in Hilbert spaces from our previous work that covers some prominent procedures (including ...
Heid, Pascal, Wihler, Thomas P.
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Local Convergence and Radius of Convergence for Modified Newton Method
Annals of the West University of Timisoara: Mathematics and Computer Science, 2017 We investigate the local convergence of modified Newton method, i.e., the classical Newton method in which the derivative is periodically re-evaluated.
Măruşter Ştefan
doaj +1 more source
Semilocal analysis of equations with smooth operators
International Journal of Mathematics and Mathematical Sciences, Volume 4, Issue 3, Page 553-563, 1981., 1981 Recent work on semilocal analysis of nonlinear operator equations is informally reviewed. A refined version of the Kantorovich theorem for Newton′s method, with new error bounds, is presented. Related topics are briefly surveyed.
George J. Miel
wiley +1 more source
Strong Convergence Theorems for Nonexpansive Mappings by Viscosity Approximation Methods in Banach Spaces [PDF]
, 2008 In this paper, we introduce a modified Ishikawa iterative process for a pair of nonexpansive mappings and obtain a strong convergence theorem in the framework of uniformly Banach spaces. Our results improve and extend the recent ones announced by Kim and
Qin, Xiaolong, Su, Yongfu, Wu, Changqun
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Lam\'e Parameter Estimation from Static Displacement Field Measurements in the Framework of Nonlinear Inverse Problems [PDF]
, 2018 We consider a problem of quantitative static elastography, the estimation of the Lam\'e parameters from internal displacement field data. This problem is formulated as a nonlinear operator equation.
Hubmer, Simon +3 more
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