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An iterative method for the solution of the eigenvalue problem of linear differential and integral
, 1950
"... The present investigation designs a systematic method for finding the latent roots and the principal axes of a matrix, without reducing the order of the matrix. It is characterized by a wide field of applicability and great accuracy, since the accumulation of rounding errors is avoided, through the ..."
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Cited by 537 (0 self)
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the process of "minimized iterations". Moreover, the method leads to a well convergent successive approximation procedure by which the solution of integral equations of the Fredholm type and the solution of the eigenvalue problem of linear differential and integral operators may be accomplished. I.
Nonlinear total variation based noise removal algorithms
, 1992
"... A constrained optimization type of numerical algorithm for removing noise from images is presented. The total variation of the image is minimized subject to constraints involving the statistics of the noise. The constraints are imposed using Lagrange multipliers. The solution is obtained using the g ..."
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Cited by 2271 (51 self)
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the gradientprojection method. This amounts to solving a time dependent partial differential equation on a manifold determined by the constraints. As t ~ 0o the solution converges to a steady state which is the denoised image. The numerical algorithm is simple and relatively fast. The results appear
A Signal Processing Approach To Fair Surface Design
, 1995
"... In this paper we describe a new tool for interactive freeform fair surface design. By generalizing classical discrete Fourier analysis to twodimensional discrete surface signals  functions defined on polyhedral surfaces of arbitrary topology , we reduce the problem of surface smoothing, or fai ..."
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Cited by 654 (15 self)
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, to accommodate different types of constraints. Some constraints can be imposed without any modification of the algorithm, while others require the solution of a small associated linear system of equations. In particular, vertex location constraints, vertex normal constraints, and surface normal discontinuities
ftp ejde.math.txstate.edu FREDHOLM TYPE INTEGRODIFFERENTIAL EQUATION ON TIME
"... Abstract. The aim of this article is to study some basic qualitative properties of solutions to Fredholm type integrodifferential equations on time scales. A new integral inequality with explicit estimate on time scales is obtained and used to establish the results. 1. ..."
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Abstract. The aim of this article is to study some basic qualitative properties of solutions to Fredholm type integrodifferential equations on time scales. A new integral inequality with explicit estimate on time scales is obtained and used to establish the results. 1.
On higher order VolterraFredholm integrodifferential equation
 MATH
, 2007
"... In the present paper we study the existence, uniqueness and other properties of soltions of a certain higher order VolterraFredholm integrodifferential equation. The well known Banach fixed point theorem coupled with Bilecki type norm and the new integral inequality with explicit estimate are used ..."
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Cited by 4 (2 self)
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In the present paper we study the existence, uniqueness and other properties of soltions of a certain higher order VolterraFredholm integrodifferential equation. The well known Banach fixed point theorem coupled with Bilecki type norm and the new integral inequality with explicit estimate are used
GLOBAL EXISTENCE FOR VOLTERRAFREDHOLM TYPE FUNCTIONAL IMPULSIVE INTEGRODIFFERENTIAL EQUATIONS
"... ABSTRACT. In this paper, we study the global existence of solutions for the initial value problems for VolterraFredholm type functional impulsive integrodifferential equations. Using the LeraySchauder Alternative, we derive conditions under which a solution exists globally. 1. ..."
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ABSTRACT. In this paper, we study the global existence of solutions for the initial value problems for VolterraFredholm type functional impulsive integrodifferential equations. Using the LeraySchauder Alternative, we derive conditions under which a solution exists globally. 1.
Designing Efficient And Accurate Parallel Genetic Algorithms
, 1999
"... Parallel implementations of genetic algorithms (GAs) are common, and, in most cases, they succeed to reduce the time required to find acceptable solutions. However, the effect of the parameters of parallel GAs on the quality of their search and on their efficiency are not well understood. This insuf ..."
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Cited by 299 (5 self)
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with different parameter settings. The quality predictors were transformed into populationsizing equations, which in turn were used to estimate the execution time of the algorithms.
On the Existence of Stationary Solutions for Some NonFredholm IntegroDifferential Equations
 DOCUMENTA MATH.
, 2011
"... We show the existence of stationary solutions for some reactiondiffusion type equations in the appropriate H² spaces using the fixed point technique when the elliptic problem contains second order differential operators with and without Fredholm property. ..."
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Cited by 6 (6 self)
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We show the existence of stationary solutions for some reactiondiffusion type equations in the appropriate H² spaces using the fixed point technique when the elliptic problem contains second order differential operators with and without Fredholm property.
Nonstandard finite difference method for numerical solutioar Fredholm integrodifferential equations,
 International Journal of Mathematical Modelling & Computations,
, 2015
"... Abstract.In this article we have considered a nonstandard finite difference method for the solution of second order Fredholm integro differential equation type initial value problems. The nonstandard finite difference method and the composite trapezoidal quadrature method is used to transform the ..."
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Cited by 1 (0 self)
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Abstract.In this article we have considered a nonstandard finite difference method for the solution of second order Fredholm integro differential equation type initial value problems. The nonstandard finite difference method and the composite trapezoidal quadrature method is used to transform
Numerical Solution of the Nonlinear Fredholm Integral Equation and the Fredholm Integrodifferential Equation of Second Kind using Chebyshev Wavelets
, 2012
"... In this paper, a numerical method to solve nonlinear Fredholm integral equations of second kind is proposed and some numerical notes about this method are addressed. The method utilizes Chebyshev wavelets constructed on the unit interval as a basis in the Galerkin method. This approach reduces this ..."
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this type of integral equation to solve a nonlinear system of algebraic equation. The method is also used to solve Fredholm integrodifferential equation of second kind. Several numerical examples are presented to compare accuracy of Chebyshev wavelet Galerkin method with methods using polynomial Chebyshev
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