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Items for "integral equations"

Computation of discontinuous solutions of 2D linear ill-posed integral equations via adaptive grid regularization

In this paper we apply the new regularization method adaptive grid regularization, which is well-suited for ill-posed problems with discontinuous solutions and which was introduced in an earlier paper [5], to 2D linear integral equations of the first kind...

Keywords: ill-posed problems, integral equations, regularization methods, adaptive grid regularization, adaptive grids

04/2007 | Journal of Inverse and Ill-posed Problems, Walter de Gruyter
Hierarchical Kronecker tensor-product approximations

The goal of this work is the presentation of some new formats which are useful for the approximation of (large and dense) matrices related to certain classes of functions and nonlocal (integral, integro-differential) operators, especially for high-dimensional problems...

Keywords: integral equations, BEM, low-rank matrices, hierarchical matrices, Kronecker products, multi-dimensional matrices, tensors

06/2005 | Journal of Numerical Mathematics, Walter de Gruyter
On a numerical method for resolution of integral equations

In this paper, we investigate a family of numerical methods for the approximate solution of integral equations...

Keywords: integral equations, numerical methods, ill posed problem

06/2006 | Journal of Numerical Mathematics, Walter de Gruyter