Devising efficient numerical methods for oscillating patterns in reaction–diffusion systems

Numerical methods for hyperbolic systems

Efficient Numerical Methods for Least-Norm Regularization

The problem min x ‖x‖, s.t. ‖b−Ax‖ ≤ arises in the regularization of discrete forms of ill-posed problems when an estimate of the noise level in the data is available. After deriving necessary and sufficient optimality conditions for this problem, we propose two different classes of algorithms: a factorization-based algorithm for small to medium problems, and matrix-free iterations for the larg...

islanding detection methods for microgrids

امروزه استفاده از منابع انرژی پراکنده کاربرد وسیعی یافته است . اگر چه این منابع بسیاری از مشکلات شبکه را حل می کنند اما زیاد شدن آنها مسائل فراوانی برای سیستم قدرت به همراه دارد . استفاده از میکروشبکه راه حلی است که علاوه بر استفاده از مزایای منابع انرژی پراکنده برخی از مشکلات ایجاد شده توسط آنها را نیز منتفی می کند . همچنین میکروشبکه ها کیفیت برق و قابلیت اطمینان تامین انرژی مشترکان را افزایش ...

Numerical methods in Glassy systems

In these lectures I describe some theoretical tools and numerical techniques to investigate glassy systems. The discussion is centered on spin glasses where there has been a large amount of theoretical as well as numerical work during the recent years. After discussing the utility of introducing real replicas in numerical simulations, I analyze topics such as equilibration methods and the analy...

THE COMPARISON OF EFFICIENT RADIAL BASIS FUNCTIONS COLLOCATION METHODS FOR NUMERICAL SOLUTION OF THE PARABOLIC PDE’S

In this paper, we apply the compare the collocation methods of meshfree RBF over differential equation containing partial derivation of one dimension time dependent with a compound boundary nonlocal condition.