The extended Adomian decomposition method for fourth order boundary value problems.
The h, p and h-p Versions of the Finite Element Method in 1 Dimension. Part III. The Adaptive h-p Version.
The h, p and h-p Versions of the Finite Element Method in 1 Dimension. Part I. The Error Analysis of the p-Version.
The h, p and h-p Versions of the Finite Element Method in 1 Dimension. Part II. The Error Analysis of the h- and h-p Versions.
The Interaction Between instability and Local Truncation Error Estimate for Predictor - Corrector Methods
The intervals of stability of Runge-Kutta methods after Richardson extrapolation
The investigation of the transient regimes in the nonlinear systems by the generalized classical method.
The mesh chopping algorithm for singularly perturbed boundary value problem.
The Method of Iterated Defect-Correction and Its Application to Two-Point Boundary Value Problems. Part II.
The Method of Iterated Defect-Correction and its Application to Two-Point Boundary Value Problems. Part I.
The method of normal splines for linear implicit differential equations of second order.
The Numerical Computation of Compressed States of Nonlinearly Elastic Anisotropic Plates.
The numerical method for solving differential equations of Lane-Emden type by Padé approximation.
The numerical method of solving ordinary differential equations with the Cauchy initial condition
The Numerical Solution of Boundary Value Problems for Second Order Functional Differential Equations by Finite Differences.
The numerical solution of boundary-value problems for differential equations with state dependent deviating arguments
A numerical method for the solution of a second order boundary value problem for differential equation with state dependent deviating argument is studied. Second-order convergence is established and a theorem about the asymptotic expansion of global discretization error is given. This theorem makes it possible to improve the accuracy of the numerical solution by using Richardson extrapolation which results in a convergent method of order three. This is in contrast to boundary value problems for...
The Numerical Solution Of Elliptic Partial Differential Equations By The Method Of Lines.
The numerical solution of linear time-varying DAEs with index 2 by IRK methods.
The Numerical Solution of Stiff IVPs in ODEs Using Modified Second Derivative BDF
This paper considers modified second derivative BDF (MSD-BDF) for the numerical solution of stiff initial value problems (IVPs) in ordinary differential equations (ODEs). The methods are A-stable for step length .
The numerical treatment of perturbed bifurcation in boundary value problems