Second derivative linear multistep formula and its stability on the imaginary axis
Simulation of analog computer in solving non-linear differential equations by a digital computer
Simulation of Indoor Humidity
The paper deals with the moisture in the internal air of a modeling room. The problems connected with the undesired relative humidity of the indoor air are introduced, the reviewing of the hygric situation in the modeling room is described, the less or more precise models for relative humidity estimation depending on the influencing parameters are performed and the reasoning—when, why and how the particular models should be used, is added. As in particular hygric conditions some of the influencing...
Smooth factorizations of matrix valued functions and their derivatives.
Smoothing the Extrapolated Midpoint Rule
Solution of an extraordinary differential equation by Adomian decomposition method.
Solving Differential Equations by Parallel Laplace Method with Assured Accuracy
The paper has been presented at the 12th International Conference on Applications of Computer Algebra, Varna, Bulgaria, June, 2006We produce a parallel algorithm realizing the Laplace transform method for the symbolic solving of differential equations. In this paper we consider systems of ordinary linear differential equations with constant coefficients, nonzero initial conditions and right-hand parts reduced to sums of exponents with polynomial coefficients.
Solving dynamical systems with cubic trigonometric splines.
Solving Linear Ordinary Differential Equations by Exponentials of Iterated Commutators.
Solving nonlinear boundary value problems using He's polynomials and Padé approximants.
Solving ordinary differential equation systems by approximation in a graphical way.
Some fourth-order formulae of a certain method of Zurmühl
Some numerical studies of dynamical systems
Some problems related to discretization of Chaplygin's method
Some properties of solutions to polynomial systems of differential equations.
Some remarks on an ODE-solver of Kirchgraber.
Some remarks on numerical solution of initial problems for systems of differential equations
This paper presents a class of numerical methods for approximate solution of systems of ordinary differential equations. It is shown that under certain general conditions these methods are convergent for sufficiently small step size. We give estimations of errors which are better than the known ones.
Some remarks on the intervals of stability of Runge-Kutta methods after Richardson extrapolation
Spatial discretization of an impulsive Cohen-Grossberg neural network with time-varying and distributed delays and reaction-diffusion terms.
Splineapproximationen von beliebigem Defekt zur numerischen Lösung gewöhnlicher Differentialgleichungen. Teil II.