Galerkin-wavelet methods for two-point boundary value problems.
Gaussian collocation via defect correction.
Gaussian quadrature rules and -stability of Galerkin schemes for ODE.
General results on the eigenvalues of operators with gaps, arising from both ends of the gaps. Application to Dirac operators
This paper is concerned with an extension and reinterpretation of previous results on the variational characterization of eigenvalues in gaps of the essential spectrum of self-adjoint operators. We state two general abstract results on the existence of eigenvalues in the gap and a continuation principle. Then these results are applied to Dirac operators in order to characterize simultaneously eigenvalues corresponding to electronic and positronic bound states.
Global error control for the continuous Galerkin finite element method for ordinary differential equations
Globale Superkonvergenz bei der Lösung von linearen Randwertaufgaben.