A numerical algorithm for inverse problem from partial boundary measurement arising from mean field game problem

the algorithm for solving the inverse numerical range problem

برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.

Numerical Solution of a Free Boundary Problem from Heat Transfer by the Second Kind Chebyshev Wavelets

In this paper we reduce a free boundary problem from heat transfer to a weakly Singular Volterra  integral equation of the first kind. Since the first kind integral equation is ill posed, and an appropriate method for such ill posed problems is based on wavelets, then we apply the Chebyshev wavelets to solve the integral equation. Numerical implementation of the method is illustrated by two ben...

A Numerical Computation for Inverse Boundary Determination Problem

A non standard free-boundary problem arising from stratigraphy

In this paper, we are interested in the mathematical analysis of a geological stratigraphic model, taking into account a limited weathering condition. Firstly, we present the physical model and the mathematical formulation, which lead to an original conservation law. Then, the definition of a solution and some mathematical tools in order to resolve the problem are given. At last, we treat the 1...

A Numerical Study of Instability Arising from the Bénard Problem

Investigated in this report is the Rayleigh-Bénard problem with rotation and a periodic temperature distribution. Both approximate and numerical solutions to the steady-state and unsteady equations have been obtained. The numerical results are based on a finite difference method together with an implicit time stepping method and an iteration algorithm. The analytical results, on the other hand,...