Fehlerabschätzung bei Anfangswertaufgaben für Systeme von gewöhnlichen Differentialgleichungen mit Anwendung auf das REENTRY-Problem.
Fibonacci-Horner decomposition of the matrix exponential and the fundamental system of solutions.
Fifth-order numerical methods for heat equation subject to a boundary integral specification.
Fifth-order Runge-Kutta with higher order derivative approximations.
Fourth order time-stepping for low dispersion Korteweg-de Vries and nonlinear Schrödinger equations.
Frequency analysis of preconditioned waveform relaxation iterations
The error analysis of preconditioned waveform relaxation iterations for differential systems is presented. This analysis extends and refines previous results by Burrage, Jackiewicz, Nørsett and Renaut by incorporating all terms in the expansion of the error of waveform relaxation iterations in the Laplace transform domain. Lower bounds for the size of the window of rapid convergence are also obtained. The theory is illustrated for waveform relaxation methods applied to differential systems resulting...