Regularizations of Differential-Algebraic Equations Revisited
نویسنده
چکیده
The present paper deals with quasilinear differential-algebraic equations with index 2. These equations are approximated by regularization methods. Such methods lead to singularly perturbed differential-algebraic equations. Using a geometric theory of singular perturbations convergence of the solutions of the regularized problems towards that of the index 2 problem is proved. The limits of the present theory are discussed and directions of future research are proposed. AMS(MOS) Classification: 34 E, 65 L
منابع مشابه
Regularization of Higher-Index Differential-Algebraic Equations with Rank-Deficient Constraints
In this paper we present several regularizations for higher-index differential-algebraic equations with rank-deficient or singular constraints. These types of problems arise, for example, in the solution of constrained mechanical systems, when a mechanism’s trajectory passes through or near a kinematic singularity. We derive a class of regularizations for these problems which is based on minimi...
متن کاملA Method for Solving Convex Quadratic Programming Problems Based on Differential-algebraic equations
In this paper, a new model based on differential-algebraic equations(DAEs) for solving convex quadratic programming(CQP) problems is proposed. It is proved that the new approach is guaranteed to generate optimal solutions for this class of optimization problems. This paper also shows that the conventional interior point methods for solving (CQP) problems can be viewed as a special case of the n...
متن کاملUniversity of Dundee A sequential regularization method for time-dependent incompressible Navier--Stokes equations
The objective of the paper is to present a method, called the sequential regularization method (SRM), for the nonstationary incompressible Navier–Stokes equations from the viewpoint of regularization of differential-algebraic equations (DAEs), and to provide a way to apply a DAE method to partial differential-algebraic equations (PDAEs). The SRM is a functional iterative procedure. It is proved...
متن کاملA Sequential Regularization Method for Time-dependent Incompressible Navier-stokes Equations
The objective of the paper is to present a method, called the sequential regularization method (SRM), for the nonstationary incompressible Navier–Stokes equations from the viewpoint of regularization of differential-algebraic equations (DAEs), and to provide a way to apply a DAE method to partial differential-algebraic equations (PDAEs). The SRM is a functional iterative procedure. It is proved...
متن کاملThe Siegel-shidlovskii Theorem Revisited
Using Y.André's result on differential equations staisfied by E-functions, we derive an improved version of the Siegel-Shidlovskii theorem. It gives a complete characterisation of algebraic relations over the algebraic numbers between values of E-functions at any non-zero algebraic point.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1992