Darstellung und Entwicklung des Restgliedes der Gregoriyschen Quadraturformel mit Hilfe von Spline-Funktionen.
Decompositional analysis of Kronecker structured Markov chains.
Defect correction and a posteriori error estimation of Petrov-Galerkin methods for nonlinear Volterra integro-differential equations
We present two defect correction schemes to accelerate the Petrov-Galerkin finite element methods [19] for nonlinear Volterra integro-differential equations. Using asymptotic expansions of the errors, we show that the defect correction schemes can yield higher order approximations to either the exact solution or its derivative. One of these schemes even does not impose any extra regularity requirement on the exact solution. As by-products, all of these higher order numerical methods can also be...
Deferred Corrections Using Uncentered End Formulas.
Die Determinantenmethode zur Berechnung des charakteristischen Exponenten der endlichen Hillschen Differentialgleichung.
Discrete Newton Methods and Iterated Defect Corrections.