Numerical scheme for a whole class of sweeping process
نویسنده
چکیده
2 Mathematical framework and well-posedness results 4 2.1 Preliminaries . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.2 Uniform prox-regularity of sets Q(t) . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.3 Lipschitz regularity of Q . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.4 Well-posedness results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
منابع مشابه
Numerical scheme for first order differential inclusions
The aim of this paper is to study a whole class of first order differential inclusions, which fit into the framework of perturbed sweeping process by a uniformly prox-regular set. After obtaining well-posedness results, we propose a numerical scheme based on a predictioncorrection algorithm and we prove its convergence. Finally we apply these results to a problem coming from modelling of crowd ...
متن کاملAn Efficient Numerical Method for a Class of Boundary Value Problems, Based on Shifted Jacobi-Gauss Collocation Scheme
We present a numerical method for a class of boundary value problems on the unit interval which feature a type of exponential and product nonlinearities. Also, we consider singular case. We construct a kind of spectral collocation method based on shifted Jacobi polynomials to implement this method. A number of specific numerical examples demonstrate the accuracy and the efficiency of the propos...
متن کاملA Third-degree B-spline Collocation Scheme for Solving a Class of the Nonlinear Lane–-Emden Type Equations
In this paper, we use a numerical method involving collocation method with third B-splines as basis functions for solving a class of singular initial value problems (IVPs) of Lane--Emden type equation. The original differential equation is modified at the point of singularity. The modified problem is then treated by using B-spline approximation. In the case of non-linear problems, we first line...
متن کاملA numerical approach for variable-order fractional unified chaotic systems with time-delay
This paper proposes a new computational scheme for approximating variable-order fractional integral operators by means of finite element scheme. This strategy is extended to approximate the solution of a class of variable-order fractional nonlinear systems with time-delay. Numerical simulations are analyzed in the perspective of the mean absolute error and experimental convergence order. To ill...
متن کاملFixed-point Fast Sweeping Weno Methods for Steady State Solution of Scalar Hyperbolic Conservation Laws
Fast sweeping methods were developed in the literature to efficiently solve static Hamilton-Jacobi equations. This class of methods utilize the Gauss-Seidel iterations and alternating sweeping strategy to achieve fast convergence rate. They take advantage of the properties of hyperbolic partial differential equations (PDEs) and try to cover a family of characteristics of the corresponding Hamil...
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 2009