Numerical Solution of Bifurcation Problems for Ordinary Differential Equations.
Numerical solution of boundary value problems by least squares
Numerical solution of boundary value problems for selfadjoint differential equations of th order
The paper is devoted to solving boundary value problems for self-adjoint linear differential equations of th order in the case that the corresponding differential operator is self-adjoint and positive semidefinite. The method proposed consists in transforming the original problem to solving several initial value problems for certain systems of first order ODEs. Even if this approach may be used for quite general linear boundary value problems, the new algorithms described here exploit the special...
Numerical Solution of Delay Differential Equations by Uniform Corrections to an Implicit Runge-Kutta Method.
Numerical solution of differential-algebraic equations for constrained mechanical motion.
Numerical solution of initial and singularly perturbed two-point boundary value problems using adaptive spline function approximation.
Numerical Solution of Ordinary and Retarded Differential Equations with Discontinuous Derivatives.
Numerical Solution of Retarded Initial Value Problems: Local and Global Error and Stepsize Control.
Numerical solution of second order one-dimensional linear hyperbolic equation using trigonometric wavelets
A numerical technique is presented for the solution of second order one dimensional linear hyperbolic equation. This method uses the trigonometric wavelets. The method consists of expanding the required approximate solution as the elements of trigonometric wavelets. Using the operational matrix of derivative, we reduce the problem to a set of algebraic linear equations. Some numerical example is included to demonstrate the validity and applicability of the technique. The method produces very accurate...
Numerical solution of some iterative differential equation
Numerical solution of the Maxwell equations in time-varying media using Magnus expansion
For the Maxwell equations in time-dependent media only finite difference schemes with time-dependent conductivity are known. In this paper we present a numerical scheme based on the Magnus expansion and operator splitting that can handle time-dependent permeability and permittivity too. We demonstrate our results with numerical tests.
Numerical solutions of nonstandard first order initial value problems.
Numerical solutions of ordinary differential equations with quadratic trigonometric splines.
Numerical stability in solution of ordinary differential equations
Numerical stability test of neutral delay differential equations.
Numerical Treatment of Delay Differential Equations by Hermite Interpolation.
Numerical Treatment of Integro-Differential Equations with a Certain Maximum Propert.
Numerical Treatment of O.D.Es.: The Theory of A-Methods.
Numerische Behandlung von Verzweigungsproblemen bei gewöhnlichen Differentialgleichungen.
Numerische Stabilität des Ritzschen Verfahrens