LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares
ACM Transactions on Mathematical Software (TOMS)
Least squares scattered data fitting by truncated SVDs
Applied Numerical Mathematics - Applied and computational mathematics: Selected papers of the third panamerican workshop Trujillo, Peru, 24-28 April 2000
Large scale least squares scattered data fitting
Applied Numerical Mathematics
Reviving the Method of Particular Solutions
SIAM Review
Radial function collocation solution of partial differential equations in irregular domains
International Journal of Computing Science and Mathematics
An adaptive least-squares collocation radial basis function method for the HJB equation
Journal of Global Optimization
An adaptive domain decomposition method for the Hamilton---Jacobi---Bellman equation
Journal of Global Optimization
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We consider the solution of elliptic problems in general regions by embedding and least squares approximation of overdetermined collocated tensor product of basis functions. The resulting least squares problem will generally be ill-conditioned or even singular, and thus, regularization techniques are required. Large scale problems are solved by either conjugate gradient type methods or by a block Gauss-Seidel approach. Numerical results are presented that show the viability of the new method.