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MOC
2000
109views more  MOC 2000»
13 years 5 months ago
A posteriori error estimation and adaptivity for degenerate parabolic problems
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 ...
Ricardo H. Nochetto, Alfred Schmidt, C. Verdi
MOC
2000
173views more  MOC 2000»
13 years 5 months ago
Computation of Gauss-Kronrod quadrature rules
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,...
MOC
1998
175views more  MOC 1998»
13 years 5 months ago
Convergence of a non-stiff boundary integral method for interfacial flows with surface tension
Boundary integral methods to simulate interfacial flows are very sensitive to numerical instabilities. In addition, surface tension introduces nonlinear terms with high order spat...
Héctor D. Ceniceros, Thomas Y. Hou
MOC
1998
93views more  MOC 1998»
13 years 5 months ago
Computing ray class groups, conductors and discriminants
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
MOC
2000
105views more  MOC 2000»
13 years 5 months ago
On the iteratively regularized Gauss-Newton method for solving nonlinear ill-posed problems
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...
Jin Qi-nian