A nonstandard dynamically consistent numerical scheme applied to obesity dynamics.
A note concerning Gauss-Jackson method.
Specialized literature concerning studies on Orbital Dynamics usually mentions the Gauss-Jackson or sum squared (∑2) method for the numerical integration of second order differential equations. However, as far as we know, no detailed description of this code is available and there is some confusion about the order of the method and its relation with the Störmer method. In this paper we present a simple way of deriving this algorithm and its corresponding analog for first order equations from the...
A note on nonlinear ordinary differential equations containing derivates of the delta function.
A note on periodic solutions of functional differential equations.
A note on the boundary curves of second order nonlinear differential equations
A Note on the Covergence of Solutions of a System of Differential Equations. (Short Communication).
A Note on the Covergence of Solutions of a System of Differential Equations.
A note on the differential equation
A note to a certain nonlinear differential equation of the third-order
A remark on the oscillation of ordinary second order nonlinear differential equations
A resummed branching process representation for a class of nonlinear ODEs.
A Schur method for the solution of the matrix Riccati equation.
A singular initial value problem for second and third order differential equations
A software package for the numerical integration of ODEs by means of high-order Taylor methods.
A stochastic min-driven coalescence process and its hydrodynamical limit
A stochastic system of particles is considered in which the sizes of the particles increase by successive binary mergers with the constraint that each coagulation event involves a particle with minimal size. Convergence of a suitably renormalized version of this process to a deterministic hydrodynamical limit is shown and the time evolution of the minimal size is studied for both deterministic and stochastic models.
A super-integrable two-dimensional nonlinear oscillator with an exactly solvable quantum analog.
A system of non-linear functional differential equations arising in an equilibrium model of an economy with borrowing constraints
A Uniform Scheme for the Singularly Perturbed Riccati Equation.
A useful proposition to nonlinear differential systems with a solution of the prescribed asymptotic properties
A verified method for solving piecewise smooth initial value problems
In many applications, there is a need to choose mathematical models that depend on non-smooth functions. The task of simulation becomes especially difficult if such functions appear on the right-hand side of an initial value problem. Moreover, solution processes from usual numerics are sensitive to roundoff errors so that verified analysis might be more useful if a guarantee of correctness is required or if the system model is influenced by uncertainty. In this paper, we provide a short overview...