Theoretical and numerical analysis of differential-algebraic equations

PJ Rabier, WC Rheinboldt - 2002 - Elsevier
This article presents a fairly up to date survey of the research literature relating to differential-
algebraic equations (DA Es) and their numerical solution In contrast to ordinary differential …

[图书][B] Handbook of ordinary differential equations: exact solutions, methods, and problems

AD Polyanin, VF Zaitsev - 2017 - taylorfrancis.com
The Handbook of Ordinary Differential Equations: Exact Solutions, Methods, and Problems,
is an exceptional and complete reference for scientists and engineers as it contains over …

[图书][B] Computer methods for ordinary differential equations and differential-algebraic equations

UM Ascher, LR Petzold - 1998 - SIAM
Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations:
Back Matter Page 1 Bibliography [1] VI Arnold. Mathematical Methods of Classical Mechanics …

[图书][B] Differential-algebraic equations: analysis and numerical solution

P Kunkel - 2006 - books.google.com
Differential-algebraic equations are a widely accepted tool for the modeling and simulation
of constrained dynamical systems in numerous applications, such as mechanical multibody …

Multibody system dynamics: roots and perspectives

W Schiehlen - Multibody system dynamics, 1997 - Springer
The paper reviews the roots, the state-of-the-art and perspectives of multibody system
dynamics. Some historical remarks show that multibody system dynamics is based on …

[图书][B] Optimal control of ODEs and DAEs

M Gerdts - 2023 - books.google.com
Ordinary differential equations (ODEs) and differential-algebraic equations (DAEs) are
widely used to model control systems in engineering, natural sciences, and economy …

The RKHS method for numerical treatment for integrodifferential algebraic systems of temporal two-point BVPs

O Abu Arqub, H Rashaideh - Neural Computing and Applications, 2018 - Springer
Many problems arising in different fields of sciences and engineering can be reduced, by
applying some appropriate discretization, either to a system of integrodifferential algebraic …

Applications of differential transform method to differential-algebraic equations

F Ayaz - Applied Mathematics and Computation, 2004 - Elsevier
In this paper, numerical solution of linear differential-algebraic equations (DAEs) is
considered by differential transform method. Two different problems have been solved by …

[图书][B] Numerical methods for evolutionary differential equations

UM Ascher - 2008 - SIAM
Methods for the numerical simulation of dynamic mathematical models have been the focus
of intensive research for well over 60 years. However, rather than reaching closure, there is …

The reproducing kernel algorithm for handling differential algebraic systems of ordinary differential equations

OA Arqub - Mathematical Methods in the Applied Sciences, 2016 - Wiley Online Library
The aim of the present analysis is to implement a relatively recent computational method,
reproducing kernel Hilbert space, for obtaining the solutions of differential algebraic systems …