A numerical study is accomplished to analyze the Brownian motion of micro-polar
hydromagnetic nano-fluid over a stretched surface with thermophoresis and thermal …

Fully implicit Runge--Kutta (IRK) methods have many desirable accuracy and stability
properties as time integration schemes, but high-order IRK methods are not commonly used …

This paper presents a class of efficient Newton-type algorithms for solving the nonlinear
programs (NLPs) arising from applying a direct collocation approach to continuous time …

This paper presents and analyzes an inexact Newton-type optimization method based on
iterated sensitivities (INIS). A particular class of nonlinear programming (NLP) problems is …

To study the material behavior of axisymmetric flow in micropolar fluid for exchange of
heat/mass in a disk placed over permeable regime taking into account the effect of heat …

We consider possibly stiff and implicit systems of ordinary differential equations (ODEs). The
major difficulty and computational bottleneck in the implementation of fully implicit Runge …

The main difficulty in the implementation of most standard implicit Runge–Kutta (IRK)
methods applied to (stiff) ordinary differential equations (ODEs) is to efficiently solve the …

In this paper, the numerical solution of stiff initial value problems by means of Lobatto IIIA
Runge-Kutta methods is considered. New iterative schemes for an efficient solution of the …

Abstract Nonlinear Model Predictive Control (NMPC) requires the online solution of an
Optimal Control Problem (OCP) at every sampling instant. In the context of multiple shooting …

For the efficient solution of large stiff systems resulting from semidiscretization of multi-
dimensional partial differential equations two methods using approximate matrix …