Collocation methods for differential-algebraic equations of index 3.
Comparing the radii of some balls appearing in connection to three local convergence theorems for Newton's method.
Computing with Laguerre polynomials.
Conservation of integrals and symplectic structure in the integration of differential equations by multistep 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...
Construction of interval wavelet based on restricted variational principle and its application for solving differential equations.
Constructive Characterization of A-Stable Approximations to exp(z) and Its Connection with Algebraically Stable Runge-Kutta Methods.
Contractivity of Locally One-Dimensional Splitting Methods.
Contractivity Preserving Explicit Linear Multistep Methods.
Convergence and Order Reduction of Runge-Kutta Schemes Applied to Evolutionary Problems in Partial Differential Equations.
Convergence of Linear Multistep Methods for Differential Equations with Discontinuities.
Convergence of Multistep Methods for Volterra Functional Differential Equations.
Convergence of numerical methods for systems of neutral functional-differential-algebraic equations
A general class of numerical methods for solving initial value problems for neutral functional-differential-algebraic systems is considered. Necessary and sufficient conditions under which these methods are consistent with the problem are established. The order of consistency is discussed. A convergence theorem for a general class of methods is proved.
Convergence of the Lambert-McLeod Trajectory Solver and of the Celf Method.
Convergence Properties of the Runge-Kutta-Chebyshev Method.