1. |
|
|
2. |
|
|
3. |
- Asadzadeh, Mohammad, 1952, et al.
(författare)
-
On adaptive finite element methods for Fredholm integral equations of the second kind
- 1994
-
Ingår i: SIAM Journal on Numerical Analysis. ; 31:3, s. 831-855
-
Tidskriftsartikel (refereegranskat)abstract
- A posteriors and a priori error estimates are derived for a finite element discretization of a Fredholm integral equation of the second kind. A reliable and efficient adaptive algorithm is then designed for a specific computational goal with applications to potential problems. The reliability of the algorithm is guaranteed by the a posteriors error estimate and the efficiency follows from the a priori error estimate, which shows that the a posteriors error bound is sharp
|
|
4. |
|
|
5. |
- Asadzadeh, Mohammad, 1952, et al.
(författare)
-
The discrete ordinates method for the neutron transport equation in an infinite cylindrical domain
- 1992
-
Ingår i: Mathematical Models and Methods in Applied Science. ; 2:3, s. 317-338
-
Tidskriftsartikel (refereegranskat)abstract
- We prove a regularity result for a Fredholm integral equation with weakly singular kernel, arising in connection with the neutron transport equation in an infinite cylindrical domain. The theorem states that the solution has almost two derivatives in L1, and is proved using Besov space techniques. This result is applied in the error analysis of the discrete ordinates method for the numerical solution of the neutron transport equation. We derive an error estimate in the L1-norm for the scalar flux, and as a consequence, we obtain an error bound for the critical eigenvalue.
|
|
6. |
|
|
7. |
|
|
8. |
- Crouzeix, Michel, et al.
(författare)
-
The stability of rational approximations of analytic semigroups
- 1993
-
Ingår i: BIT Numer. Math.. - 0006-3835 .- 1572-9125. ; 33:1, s. 74-84
-
Tidskriftsartikel (refereegranskat)abstract
- This paper contains two new characterizations of generators of analytic semigroups of linear operators in a Banach space. These characterizations do not require use of complex numbers. One is used to give a new proof that strongly elliptic second order partial differential operators generate analytic semigroups inL p , 1
|
|
9. |
|
|
10. |
- Dodunekova, Rossitza, 1948
(författare)
-
Limit theorems for the Petersburg game
- 1991
-
Ingår i: Sums, trimmed sums, and extremes. Progr. Prob.. ; 23, s. 285-315
-
Tidskriftsartikel (refereegranskat)
|
|