Abstract. Two explicit error representation formulas are derived for degenerate parabolic PDEs, which are based on evaluating a parabolic residual in negative norms. The resulting ...
Recently Laurie presented a new algorithm for the computation of (2n+1)-point Gauss-Kronrod quadrature rules with real nodes and positive weights. This algorithm first determines a...
Daniela Calvetti, Gene H. Golub, William B. Gragg,...
Boundary integral methods to simulate interfacial flows are very sensitive to numerical instabilities. In addition, surface tension introduces nonlinear terms with high order spat...
We use the algorithmic computation of exact sequences of Abelian groups to compute the complete structure of (ZK /m)∗ for an ideal m of a number field K, as well as ray class gr...
Henri Cohen, Francisco Diaz y Diaz, Michel Olivier
The iteratively regularized Gauss-Newton method is applied to compute the stable solutions to nonlinear ill-posed problems F (x) = y when the data y is given approximately by y wit...