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.
Continuous approximation of time-periodic solutions of a linear parabolic equation
Contractivity in the Numerical Solution of Initial Value Problems.
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 a mimetic finite difference method for static diffusion equation.
Convergence of Linear Multistep Methods for Differential Equations with Discontinuities.
Convergence of multistep methods for systems of ordinary differential equations with parameters
The author considers the convergence of quasilinear nonstationary multistep methods for systems of ordinary differential with parameters. Sufficient conditions for their convergence are given. The new numerical method is tested for two examples and it turns out to be a little better than the Hamming method.
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.
Correction of Finite Element Estimates for Sturm-Liouville Eigenvalues.
Correction of Numerov's Eigenvalue Estimates.
Corrigendum to: Spline-wavelet solution of singularly perturbed boundary problem