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
Cryptohermitian picture of scattering using quasilocal metric operators.
Cubic spline difference scheme on a mesh of Bakhvalov type.
Das Differenzenverfahren für singuläre Rand-Eigenwertaufgaben gewöhnlicher Differentialgleichungen.
De l'avantage des méthodes aux différences modifiées de Stiefel-Bettis pour la resolution d'équations différentielles du second ordre perturbées.
Decentralized control and synchronization of time-varying complex dynamical network
A new class of controlled time-varying complex dynamical networks with similarity is investigated and a decentralized holographic-structure controller is designed to stabilize the network asymptotically at its equilibrium states. The control design is based on the similarity assumption for isolated node dynamics and the topological structure of the overall network. Network synchronization problems, both locally and globally, are considered on the ground of decentralized control approach. Each sub-controller...
Decomposition conditions for two-point boundary value problems.
Defect correction and a posteriori error estimation of Petrov-Galerkin methods for nonlinear Volterra integro-differential equations
We present two defect correction schemes to accelerate the Petrov-Galerkin finite element methods [19] for nonlinear Volterra integro-differential equations. Using asymptotic expansions of the errors, we show that the defect correction schemes can yield higher order approximations to either the exact solution or its derivative. One of these schemes even does not impose any extra regularity requirement on the exact solution. As by-products, all of these higher order numerical methods can also be...
Defect Correction from a Galerkin Viewpoint.