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In this chapter we allow for deterministic and random errors in variational methods that construct the pseudosolution of linear integral equations of the second kind and the regularized pseudosolution and quasisolution of the linear integral equations of the first kind. We consider both passive errors (i.e., errors during observation or measurement) in the right-hand side and passive or active errors (i.e., errors during specification) in the core. We consider the representation methods of the a priori information on a sought pseudosolution using the mixed models and the statistical regularization methods. We construct the numerical realization of these methods.

In this chapter we allow for deterministic and random errors in variational methods that construct the pseudosolution of linear integral equations of the second kind and the regularized pseudosolution and quasisolution of the linear integral equations of the first kind. We consider both passive errors (i.e., errors during observation or measurement) in the right-hand side and passive or active errors (i.e., errors during specification) in the core. We consider the representation methods of the a priori information on a sought pseudosolution using the mixed models and the statistical regularization methods. We construct the numerical realization of these methods.

In this chapter we allow for deterministic and random errors in variational methods that construct the pseudosolution of linear integral equations of the second kind and the regularized pseudosolution and quasisolution of the linear integral equations of the first kind. We consider both passive errors (i.e., errors during observation or measurement) in the right-hand side and passive or active errors (i.e., errors during specification) in the core. We consider the representation methods of the a priori information on a sought pseudosolution using the mixed models and the statistical regularization methods. We construct the numerical realization of these methods.

In this chapter we allow for deterministic and random errors in variational methods that construct the pseudosolution of linear integral equations of the second kind and the regularized pseudosolution and quasisolution of the linear integral equations of the first kind. We consider both passive errors (i.e., errors during observation or measurement) in the right-hand side and passive or active errors (i.e., errors during specification) in the core. We consider the representation methods of the a priori information on a sought pseudosolution using the mixed models and the statistical regularization methods. We construct the numerical realization of these methods.

In this chapter we allow for deterministic and random errors in variational methods that construct the pseudosolution of linear integral equations of the second kind and the regularized pseudosolution and quasisolution of the linear integral equations of the first kind. We consider both passive errors (i.e., errors during observation or measurement) in the right-hand side and passive or active errors (i.e., errors during specification) in the core. We consider the representation methods of the a priori information on a sought pseudosolution using the mixed models and the statistical regularization methods. We construct the numerical realization of these methods.