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Generalized Iteration Method for First-Kind Integral Equations
Generalized Iteration Method First-Kind Integral Equations
2015/10/16
An iteration method is described to solve one-dimensional, first-kind integral equations with finite integration limits and difference kernel, K(x − x), that decays exponentially. The method re...
Random Iteration of Maps on a Cylinder and diffusive behavior
Random Iteration of Maps Cylinder diffusive
2015/9/25
Random Iteration of Maps on a Cylinder and diffusive behavior.
Experimental validation of single-iteration multigrid wavefront reconstruction at the Palomar Observatory
wavefront reconstruction single-iteration multigrid
2015/6/19
Single-iteration multigrid wavefront reconstruction schemes (SIMG) were implemented and validated on the adaptive optics system at the Hale 5.1 meter telescope at the Palomar Observatory. Results indi...
Iteration theory of Maslov-type index associated with a Lagrangian subspace for symplectic paths and Multiplicity of brake orbits in bounded convex symmetric domains
Iteration theory Maslov-type index Lagrangian subspace symplectic paths and Multiplicity brake orbits in bounded convex symmetric domains
2015/4/3
Iteration theory of Maslov-type index associated with a Lagrangian subspace for symplectic paths and Multiplicity of brake orbits in bounded convex symmetric domains.
Numerical Solution of Generalized Abel’s Integral Equation by Variational Iteration Method
Variational Iteration Method Singular Integral Equation Abel’s Kernel
2013/1/30
In this paper, a user friendly algorithm based on the variational iteration method (VIM) is proposed to solve singular integral equations with generalized Abel’s kernel. It is observed that an approxi...
Notation for Iteration of Functions, Iteral
Notation Iteration of Functions Iteral Dynamical Systems
2012/7/11
A new mathematical notation is proposed for the iteration of functions. It facilitates the application of the iteration of functions in mathematical and logical expressions, definitions of sets, and f...
D-iteration: Evaluation of the Asynchronous Distributed Computation
Distributed computation Iteration Fixed point Eigenvector
2012/2/29
The aim of this paper is to present a first evaluation of the potential of an asynchronous distributed computation associated to the recently proposed approach, D-iteration: the D-iteration is a fluid...
Analytical Solution of Two Extended Model Equations for Shallow Water Waves by He’s Variational Iteration Method
He’s Variational Iteration Method Shallow Water Wave Equation
2013/1/30
In this paper, we consider two extended model equations for shallow water waves. We use He’s variational iteration method (VIM) to solve them. It is proved that this method is a very good tool for sha...
Iteration Complexity of Randomized Block-Coordinate Descent Methods for Minimizing a Composite Function
Block coordinate descent iteration complexity composite minimization coordinate relaxation alternating minimization
2011/9/6
Abstract: In this paper we develop a randomized block-coordinate descent method for minimizing the sum of a smooth and a simple nonsmooth block-separable convex function and prove that it obtains an $...
Kozlov-Maz'ya iteration as a form of Landweber iteration
Kozlov-Maz'ya iteration form of Landweber iteration Analysis of PDEs
2011/9/2
Abstract: We consider the alternating method of Kozlov and Maz'ya for solving the Cauchy problem for elliptic boundary-value problems. Considering the case of the Laplacian, we show that this method c...
Random iteration with place dependent probabilities
Random iteration of functions exponential convergence invariant measure perpetuities
2011/8/25
Abstract: Markov chains arising from random iteration of functions $S_{\theta}:X\to X$, $\theta \in \Theta$, where $X$ is a Polish space and $\Theta$ is arbitrary set of indices are considerd. At $x\i...
Expression of generalized Newton iteration method via generalized local fractional Taylor series
Newton iteration method generalized local fractional Taylor series local fractional derivative real line number
2011/7/26
Abstract: In this paper, a generalized Newton iteration method derived from the generalized local fractional Taylor series with the local fractional derivatives is reviewed. Operators on real line num...
On the Use of Policy Iteration as an Easy Way of Pricing American Options
American Option Linear Complementarity Problem
2011/3/4
Finite di erence or nite element approximations of the value function of an American option usually result in discrete linear complementarity problems (LCP).
A Boolean algebra and a Banach space obtained by push-out iteration
Boolean algebra Banach space push-out iteration
2011/2/25
Under the assumption that c is a regular cardinal, we prove the existence and uniqueness of a Boolean algebra B of size c defined by sharing the main structural properties that P(!)/fin has under CH a...
Iteration Procedure for the N-Dimensional System of Linear Equations
linear system iteration hyperplane convergence
2011/3/4
A simple iteration methodology for the solution of a set of a linear algebraic equations is pre-sented. The explanation of this method is based on a pure geometrical interpretation and pictorial repre...