The Adams-type second derivative multistep methods of WH Enright is generalized to a
class of boundary value methods for the numerical solution of initial value problems in …

In this paper, multi-block generalized backward differentiation methods for numerical
solutions of ordinary differential and differential algebraic equations are introduced. This …

Abstract An A-stable Two Derivative Mono Implicit Runge-Kutta (ATDMIRK) method is
considered herein for the numerical solution of initial value problems (IVPs) in ordinary …

An extended Mono Implicit Runge-kutta (EMIRK) method is considered herein for the
numerical solution of stiff initial value problems (IVPs) in ordinary differential equation …

The study explores a specific class of Second Derivative Two-step mono-implicit Runge-
Kutta (SDTSMIRKs) methods within a fixed step-size environment. This method is …

In this article, multi-block boundary value methods suitable for solving stiff systems of initial
value problems (IVPs) are considered. This method is based on multi-block initial value …

Methods for integrating stiff initial value problems are required to be A-stable. Of great
interest are A-stable methods whose Jacobian matrices have their eigenvalues close to the …

Разработан общий алгоритм исследования спектральной устойчивости обобщенных
многостадийных методов Рунге-Кутты (МРК) разных порядков точности …

We consider specific realizations of different implicit generalized Runge–Kutta methods as
applied to the numerical integration with respect to time of initial-boundary-value problems …

A general algorithm is developed to study the spectral stability of generalized multi-stage
Runge-Kutta methods (RKMs) of different orders of accuracy for time integration of the wave …