Монография посвящена проблеме построения оригинальных численных методов
решения задачи Коши для жестких систем обыкновенных дифференциальных …

This work is dedicated to the memory of Donato Trigiante who has been the first teacher of
Numerical Analysis of the second author. The authors remember Donato as a generous …

Process design and optimization continue to provide computational challenges as the
chemical engineering and process optimization communities seek to address more complex …

The extended Masing model (EMM) is a powerful model for hysteresis that is theoretically
sound, physically meaningful and computationally efficient. Any such model is defined by …

Many theoretical and experimental studies of complex path-dependent dynamic systems
lead to restoring forces expressed as piecewise nonlinear algebraic equations. Examples …

In this article, an adaptive Runge-Kutta code, based on the DOPRI5 (4) pair for solving initial
value problems (IVPs) for differential systems with piecewise smooth solutions (PWS) is …

Ordinary differential equations are coupled with mixed constrained optimization problems
when modeling the thermodynamic equilibrium of a system evolving with time. A particular …

Choosing state variables in a state-space representation of a nonlinear dynamical system is
a nonunique procedure for a given input–output relationship and therefore a potentially …

In this paper, event location techniques for a differential system the solution of which is
directed towards a manifold\varSigma Σ defined as the 0-set of a smooth function …

Effective computer analysis of event-continuous and hybrid systems is addressed. A
multipurpose software architecture employing control of the integration step size with regard …