Numerical Method for a Cauchy Problem for Multi-Dimensional Laplace Equation with Bilateral Exponential Kernel

A robust data completion method for two dimensional Cauchy problems associated with the Laplace 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 first order method for the Cauchy problem for the Laplace equation using BEM

A Computational Method for Cauchy Problem of Laplace Equation in Multidimensional Case

In this paper we propose a computational method for solving a Cauchy problem of Laplace’s equation. By using the Green formula, the Cauchy problem is transformed to a moment problem so that numerical computations by using a regularization technique can be achieved. Stability estimation and suitable choice of regularization parameter for the proposed method are also given. For numerical verifica...

Nvestigation of a Boundary Layer Problem for Perturbed Cauchy-Riemann Equation with Non-local Boundary Condition

Boundary layer problems (Singular perturbation problems) more have been applied for ordinary differential equations. While this theory for partial differential equations have many applications in several fields of physics and engineering. Because of complexity of limit and boundary behavior of the solutions of partial differential equations these problems considered less than ordinary case. In ...