矩阵方法:任意实数阶微分方程数值解的一般框架
Matrix approach: a general framework for numerical solution of differential equations of arbitrary real order
   Igor Podlubny
报告人照片   Prof. Podlubny is currently a professor of process control, BERG Faculty, Technical University of Kosice, Slovakia. He is the member of the editorial board of the international journal Fractional Calculus and Applied Analysis. He was the editor-in-chief of Acta Montanistica Slovaca (2010-2014), the associate editor of Journal of Mathematical Analysis and Applications (2005-2009) and Applied Mathematics and Computation (2007-2009). Prof. Igor is one of the most international authoritative scholars in the fractional calculus field and makes outstanding contributions to the development of fractional control theory. He has more than 24000 Google Scholar citations with 34 H index.
  The so-called “matrix approach” to discretization of operators of arbitrary real (integer and non-integer) order and to numerical solution of fractional-order differential and integral equations is presented in detail. This method allows easy, uniform, and transparent solution of ordinary fractional differential equations, partial fractional differential equations, and ordinary fractional integral equations. It works for equations with a mixture of left-sided, right-sided, and symmetric fractional-order operators, for equations with derivatives of variable orders, distributed orders, and for equations with delayed fractional-order derivatives. Recent improvements include the extension of this method to non-uniform grids and variable step lengths. The MATLAB toolboxes that implement this method are presented, too, and are used in illustrative examples of numerical solution of various standard types of differential equations of non-integer orders.
报告时间:2017年07月26日10时30分    报告地点:东区专家楼报告厅
报名截止日期:2017年07月26日    可选人数:100