Add to ORKGAbstract. A technique to construct a low-order finite difference preconditioner for solving orthogonal collocation equations for boundary value problems is presented. It is shown numerically and theoretically that the spectral condition numbers of the preconditioned collocation matrices are bounded by constants independent of the number of mesh nodes when certain exact low-order finite difference preconditionings are used. Preconditioners based on incomplete LU factorization are also discussed. Numerical experiments show the efficiency and robustness of the preconditioning. Key words, collocation, preconditioning, boundary value problem AMS subject classifications. 65N22, 65N35, 65L6
The superconsistent collocation method, which is based on a collocation grid different from the one ...
Symmetric multiscale collocation methods with radial basis functions allow approximation of the solu...
We propose new classes of preconditioners for the linear systems arising from a boundary integral eq...
This is the published version, also available here: http://dx.doi.org/10.1137/S0036142993249760.A te...
AbstractIn the past few years several authors have studied the preconditioning of collocation matric...
In the past few years several authors have studied the preconditioning of collocation matrices by fi...
Abstract. Efficient numerical algorithms are developed and analyzed that implement symmetric multile...
The superconsistent collocation method, which is based on a collocation grid different from the one ...
The superconsistent collocation method, which is based on a collocation grid different from the one...
AbstractOperator preconditioning offers a general recipe for constructing preconditioners for discre...
New preconditioning techniques for the iterative solution of systems of equations arising from discr...
Symmetric collocation methods with RBFs allow approximation of the solution of a partial differentia...
Two decades ago collocation methods for high accuracy solutions of partial differential equations se...
Spectral collocation approximations based on Legendre-Gauss-Lobatto (LGL) points for Helmholtz equat...
We derive and analyze a block diagonal preconditioner for the linear problems arising from a discon...
The superconsistent collocation method, which is based on a collocation grid different from the one ...
Symmetric multiscale collocation methods with radial basis functions allow approximation of the solu...
We propose new classes of preconditioners for the linear systems arising from a boundary integral eq...
This is the published version, also available here: http://dx.doi.org/10.1137/S0036142993249760.A te...
AbstractIn the past few years several authors have studied the preconditioning of collocation matric...
In the past few years several authors have studied the preconditioning of collocation matrices by fi...
Abstract. Efficient numerical algorithms are developed and analyzed that implement symmetric multile...
The superconsistent collocation method, which is based on a collocation grid different from the one ...
The superconsistent collocation method, which is based on a collocation grid different from the one...
AbstractOperator preconditioning offers a general recipe for constructing preconditioners for discre...
New preconditioning techniques for the iterative solution of systems of equations arising from discr...
Symmetric collocation methods with RBFs allow approximation of the solution of a partial differentia...
Two decades ago collocation methods for high accuracy solutions of partial differential equations se...
Spectral collocation approximations based on Legendre-Gauss-Lobatto (LGL) points for Helmholtz equat...
We derive and analyze a block diagonal preconditioner for the linear problems arising from a discon...
The superconsistent collocation method, which is based on a collocation grid different from the one ...
Symmetric multiscale collocation methods with radial basis functions allow approximation of the solu...
We propose new classes of preconditioners for the linear systems arising from a boundary integral eq...