Computable error bounds with improved applicability conditions for collocation methods.
Constrained least squares methods for linear timevarying DAE systems.
Construction of explicit and generalized Runge-Kutta formulas of arbitrary order with rational parameters
In the article containing the algorithm of explicit generalized Runge-Kutta formulas of arbitrary order with rational parameters two problems occuring in the solution of ordinary differential equaitions are investigated, namely the determination of rational coefficients and the derivation of the adaptive Runge-Kutta method. By introducing suitable substitutions into the nonlinear system of condition equations one obtains a system of linear equations, which has rational roots. The introduction of...
Constructive Characterization of A-Stable Approximations to exp(z) and Its Connection with Algebraically Stable Runge-Kutta Methods.
Contractivity in the Numerical Solution of Initial Value Problems.
Convergence of a mimetic finite difference method for static diffusion equation.
Convergence Properties of the Runge-Kutta-Chebyshev Method.