Numerical methods for solving linear ill-posed problems (original) (raw)

Dynamical systems method for solving ill-conditioned linear algebraic systems

Sapto Indratno

International Journal of Computing Science …, 2009

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An iterative method for solving Fredholm integral equations of the first kind

Sapto Indratno

International Journal of Computing Science …, 2009

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Numerical investigation of Fredholm integral equation of the first kind with noisy data

Sharifah E.Alhazmi

Mathematical Sciences, 2019

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The numerical approximation for the solution of linear and non-linear integral equations of the second kind by interpolating moving least squares with error analysis

Ali Mesforush

Computational Methods for Differential Equations, 2020

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An initial value method for solving Fredholm integral equation of the first kind

Rao Vemuri

Journal of The Franklin Institute-engineering and Applied Mathematics, 1974

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Chain least squares method and ill-posed problems

E. Babolian

2014

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Inversion of the Laplace transform from the real axis using an adaptive iterative method

Sapto Indratno

Arxiv preprint arXiv:0910.3385, 2009

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A numerical method for solving nonlinear ill-posed problems

Ruben Airapetyan

2000

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A new iterative refinement of the solution of ill-conditioned linear system of equations

Davod khojasteh salkuyeh

International Journal of Computer Mathematics, 2011

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An adaptive method for the numerical solution of Fredholm integral equations of the second kind. I. regular kernels

Beny Neta

Applied Mathematics and Computation, 1987

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A numerical method for solving nonlinear ill-posed problems, Nonlinear Funct

Ruben Airapetyan

1999

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Second Order Iterative Techniques for Boundary Value Problems and Fredholm Integral Equations

Ismail Youssef

2017

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An Iterative Solution for Second Order Linear Fredholm Integro-Differential Equations

Elayaraja Aruchunan PhD (Curtin Australia), MSc. (UMS Malaysia)

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Well-conditioned matrices for numerical treatment of Fredholm integral equations of the second kind

Gradimir Milovanovic

Numerical Linear Algebra with Applications, 2009

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An Automatic Program for Linear Fredholm Integral Equations of the Second Kind

Kendall Atkinson

ACM Transactions on Mathematical Software, 1976

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An algorithm based on the regularization and integral mean value methods for the Fredholm integral equations of the first kind

Ahmad Molabahrami

Applied Mathematical Modelling, 2013

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Numerical Solution of the Linear Fredholm Integral Equations of the Second Kind

Nouredin Parandin

2010

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Computational method for solving weakly singular Fredholm integral equations of the second kind using an advanced barycentric Lagrange interpolation formula

Eng Nermein

Advanced Modeling and Simulation in Engineering Sciences, 2021

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Numerical Solution of the System of Linear Fredholm Integral Equations Based on Degenerating Kernels

Saeed Karimi

2015

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Continuous methods for solving nonlinear ill-posed problems

Ruben Airapetyan

2000

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Numerical solution of second kind linear Fredholm integral equations using QSGS iterative method with high-order Newton-Cotes quadrature schemes

J. Sulaiman

2011

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Iterative Kernel Technique to Solve System Fredholm Integral Equation First Kind for Degenerate Kernel

talhat ismail hassan

Polytechnic Journal

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Filter matrix based on interpolation wavelets for solving Fredholm integral equations

K. Maleknejad

Communications in Nonlinear Science and Numerical Simulation, 2011

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Numerical solution of linear Fredholm integral equation by using hybrid Taylor and Block-Pulse functions

K. Maleknejad

Applied Mathematics and Computation, 2004

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Adaptive finite element method for the Fredholm integral equation of the first kind and its verification on the experimental data

Nikolay Koshev

2011

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Adaptive regularization and accuracy estimate of the solution of a volterra integral equation of the first kind of the convolution type

Valery Firsanov

Measurement Techniques - MEAS TECH-ENGL TR, 1985

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Modified moving least squares method for two-dimensional linear and nonlinear systems of integral equations

Masoumeh Pourabd

Computational and Applied Mathematics, 2018

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Chapter Dynamical systems and discrete methods for solving nonlinear ill-posed problems

Ruben Hayrapetyan

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Direct and iterative methods for the numerical solution of mixed integral equations

Franca Caliò

Applied Mathematics and Computation, 2010

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