2017-09-19T23:22:52Z
http://jmmrc.uk.ac.ir/?_action=export&rf=summon&issue=265
Journal of Mahani Mathematical Research Center
J. Mahani Math. Res. Cent.
2251-7952
2251-7952
2015
4
1
ON AN INDEPENDENT RESULT USING ORDER STATISTICS AND THEIR CONCOMITANT
AYYUB
SHEIKHI
Let X1;X2;...;Xn have a jointly multivariate exchangeable normal distribution. In this work we investigate another proof of the independence of X and S2 using order statistics. We also assume that (Xi ; Yi); i =1; 2;...; n; jointly distributed in bivariate normal and establish the independence of the mean and the variance of concomitants of order statistics.
skew normal
order statistics
concomitants
independence
multivariate exchangeable normal distribution
matrix normal
Kronecker
product
2017
05
10
1
10
http://jmmrc.uk.ac.ir/article_1639_5e75efa944a3db8888dcef95b66b1bc2.pdf
Journal of Mahani Mathematical Research Center
J. Mahani Math. Res. Cent.
2251-7952
2251-7952
2015
4
1
A numerical method for solving delay-fractional differential and integro-differential equations
E.
Sokhanvar
A.
Askari-Hemmat
This article develops a direct method for solving numerically multi delay-fractional differential and integro-differential equations. A Galerkin method based on Legendre polynomials is implemented for solving linear and nonlinear of equations. The main characteristic behind this approach is that it reduces such problems to those of
solving a system of algebraic equations. A convergence analysis and an error estimation are also given. Numerical results with comparisons are given to confirm the reliability of the proposed method.
Delay-fractional differential and integro-differential equations
Galerkin method
Legendre polynomials
2017
05
22
11
24
http://jmmrc.uk.ac.ir/article_1643_ab1b1c02daeece686fb2bcca2abd080e.pdf
Journal of Mahani Mathematical Research Center
J. Mahani Math. Res. Cent.
2251-7952
2251-7952
2015
4
1
USING FRAMES OF SUBSPACES IN GALERKIN AND RICHARDSON METHODS FOR SOLVING OPERATOR EQUATIONS
Hassan
Jamali
Mohsen
Kolahdouz
In this paper, two iterative methods are constructed to solve the operator equation $ Lu=f $ where $L:Hrightarrow H $ is a bounded, invertible and self-adjoint linear operator on a separable Hilbert space $ H $. By using the concept of frames of subspaces, which is a generalization of frame theory, we design some algorithms based on Galerkin and Richardson methods, and then we investigate the convergence and optimality of them.
Hilbert spaces
Operator equation
Frame
Frames of subspaces
Richardson method
Galerkin method
2017
06
19
25
37
http://jmmrc.uk.ac.ir/article_1655_f23efe2107a18f6e62306dc46f09179e.pdf