Convergence of the polynomial projection method for the solution of ill-posed integrodifferential equations

2007 ◽  
Vol 51 (8) ◽  
pp. 1-13
Author(s):  
Yu. R. Agachev
Keyword(s):  
Projection Method ◽  
Integrodifferential Equations ◽  
Ill Posed

scholarly journals Expanding the applicability of a Two Step Newton-type projection method for ill-posed problems

2014 ◽  
Vol 51 (1) ◽  
pp. 141-166
Author(s):  
Ioannis K. Argyros ◽  
Monnanda E. Shobha ◽  
Santhosh George
Keyword(s):  
Projection Method ◽  
Ill Posed

scholarly journals Ill-posed abstract Volterra equations

2013 ◽  
Vol 93 (107) ◽  
pp. 49-63
Author(s):  
Marko Kostic
Keyword(s):  
Integrodifferential Equations ◽  
Volterra Equations ◽  
Ill Posed ◽  
Resolvent Families

The study of ill-posed abstract Volterra equations is a recent subject. In this paper, we investigate equations on the line, continue the research of (a, k)-regularized C-resolvent families, subordination principles, abstract semilinear Volterra integrodifferential equations, and provide several illustrative examples.

scholarly journals ON THE SELF-REGULARIZATION OF ILL-POSED PROBLEMS BY THE LEAST ERROR PROJECTION METHOD

2014 ◽  
Vol 19 (3) ◽  
pp. 299-308 ◽  
Author(s):  
Alina Ganina ◽  
Uno Hamarik ◽  
Urve Kangro
Keyword(s):  
Approximate Solution ◽  
Projection Method ◽  
Regularization Method ◽  
The Self ◽  
Noise Levels ◽  
Right Hand ◽  
Ill Posed ◽  
The Right

We consider linear ill-posed problems where both the operator and the right hand side are given approximately. For approximate solution of this equation we use the least error projection method. This method occurs to be a regularization method if the dimension of the projected equation is chosen properly depending on the noise levels of the operator and the right hand side. We formulate the monotone error rule for choice of the dimension of the projected equation and prove the regularization properties.

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