A direct numerical procedure for the Cauchy problem for the heat equation

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.

A Direct Numerical Procedure for the Cauchy Problem for the Heat Equation

For the Cauchy problem, gt = u%~, 0 < x < 1, 0 < t < T, ~(0, t) = f(t), 0 < t < T, u.(O, t) = g(t), 0 < t < T, a direct numerical procedure involving the elementary solution of vt = v,, , 0 < x, 0 < t < T, ~(0, t) = g(t), 0 < t < T, v(x, 0) = 0,O < x and a Taylor’s series computed fromf(t) ~(0, t) is studied. Continuous dependence better than any power of logarithmic is obtained. Some numerical...

Numerical Computation Based on the Method of Fundamental Solutions for a Cauchy Problem of Heat Equation

In this article, we consider a Cauchy problem of heat equation, that is, determining the unknown temperature and heat flux at an inaccessible boundary from scattered temperature measurements on an accessible boundary or in some interior locations. This method is similar to the boundary control approach proposed by Leevan Ling and Tomoya Takeuchi in [1] where the authors considered a Cauchy prob...

the search for the self in becketts theatre: waiting for godot and endgame

this thesis is based upon the works of samuel beckett. one of the greatest writers of contemporary literature. here, i have tried to focus on one of the main themes in becketts works: the search for the real "me" or the real self, which is not only a problem to be solved for beckett man but also for each of us. i have tried to show becketts techniques in approaching this unattainable goal, base...

Numerical Solution of a Cauchy Problem for an Elliptic Equation