The multiplicative version of Adams Bashforth–Moulton algorithms for the numerical solution
of multiplicative differential equations is proposed. Truncation error estimation for these …

The present paper illustrates some classes of multivalue methods for the numerical solution
of ordinary and fractional differential equations. In particular, it focuses on two-step and …

This paper introduces multivalue collocation methods for the numerical solution of stiff
problems. The presented approach does not exhibit the phenomenon of order reduction …

Two-step almost collocation methods for Volterra integral equations - ScienceDirect Skip to main
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Multistep collocation methods for Volterra integro-differential equations are derived and
analyzed. They increase the order of convergence of classical one-step collocation …

This book is focused on the numerical discretization of ordinary differential equations
(ODEs), under several perspectives. The attention is first conveyed to providing accurate …

We consider a new class of two-step collocation methods for the numerical integration of
second-order initial value problems having periodic or oscillatory solutions. We describe the …

It is the purpose of this paper to consider the employ of General Linear Methods (GLMs) as
geometric numerical solvers for the treatment of Hamiltonian problems. Indeed, even if the …

We derive exponentially fitted two-step Runge–Kutta methods for the numerical solution of
y′= f (x, y), specially tuned to the behaviour of the solution. Such methods have …

It is the purpose of this paper to derive diagonally implicit exponentially fitted (EF) Runge–
Kutta methods for the numerical solution of initial value problems based on first order …