Chebyshev wavelet method for numerical solution of Fredholm integral equations of the first kind.
Combined preorder and postorder traversal algorithm for the analysis of singular systems by Haar wavelets.
Complexity of an algorithm for solving saddle-point systems with singular blocks arising in wavelet-Galerkin discretizations
The paper deals with fast solving of large saddle-point systems arising in wavelet-Galerkin discretizations of separable elliptic PDEs. The periodized orthonormal compactly supported wavelets of the tensor product type together with the fictitious domain method are used. A special structure of matrices makes it possible to utilize the fast Fourier transform that determines the complexity of the algorithm. Numerical experiments confirm theoretical results.
Construction of interval wavelet based on restricted variational principle and its application for solving differential equations.