Computational Ordinary Differential Equations

Algebraic conditions for A-stable Runge-Kutta methods; Contractivity in the maximum norm for Runge-Kutta methods; Stability criteria in the numerical solution of initial value problems; Some new hybrid methods for initial value problems; A family of Nordsieck methods; Multistep methods for ordinary differential equations based on algebraic and first order trigonometric polynomials; Runge-Kutta equilibrium theory for a mixed relative/absolute error measure; Detecting stability barriers in BDF solvers; Continuous explicit Runge-Kutta methods; Dense output for the GBS extrapolation method; Methods for starting iteration schemes for implicit Runge-Kutta formulae; Efficient P-stable methods for second order systems; New continuous extensions for the Dormand and Prince RK method; The next generation of Runge-Kutta codes; Application of the Chapman-Enskog method to an asymptomatic analysis of stiff systems of ordinary differential equations; Singular perturbation phenomena for two-point boundary value problems; On the implementation of the algebraic difference scheme for stiff BVPs; Boundary value problem continuation with moving meshes; A review of some developments in collocation algorithms; Continuation and Gauss-Newton techniques; The inverse problem in ordinary differential equations; SDIRK-Methods for differential-algebraic equations of Index 1; Numerical methods for differential-algebraic equations - current status and future directions; Numerical methods for differential-algebraic equations describing constrained mechanical motion; Dynamic iteration schemes for differential in large scale circuit simulation; Towards efficient DAE solvers for the solution of dynamic simulation problems; Towards an automatic algorithm for the numerical solution of parabolic partial differential equations using the method of lines; Pragmatic experiments with Krylov methods in the stiff ODE setting; Relaxation-based integration by Runge-Kutta methods and its applications to the moving finite element method. (Part contents)