Prof. Ibraheem Alolyan
Chairman of
Mathematics Department
King Saud
University, Saudi Arabia
Email: ialolyan@ksu.edu.sa
Qualifications
2004 Ph.D., Colorado State University, USA
2001 M.S., Colorado State University, USA
1997 B.A, King Saud University, Saudi Arabia
Publications (Selected)

I. Alolyan, Z.A.
Anastassi and T.E. Simos A new family of symmetric linear fourstep methods for
the integration of the Schrödinger equation. Applied Mathematics and
Computation (2012) 218: 53705382.

Ibraheem Alolyan and T.E.Simos. New Open Modified TrigonometricallyFitted
NewtonCotes Type Multilayer Symplectic Integrators for the Numerical Solution
of the Schr¨odinger Equation. Accepted in Journal of Mathematical Chemistry
(2011).

Ibraheem Alolyan. Interval Linear Programming with Interval Inequality
Constraints. Accepted in International conference of Numerical Analysis and
Applied Mathematics (2011).

Ibraheem Alolyan and T.E.Simos. A Family of HighOrder Multistep Methods
with Vanished PhaseLag and its Derivatives for the Numerical Solution of the
Schrödinger Equation. Computers and Mathematics with Applications (2011) 62:
37563774.

Ibraheem Alolyan. Lipschitz condition for finding real roots of a vector function. in
Journal of Computational Methods in Sciences and Engineering (JCMSE) (2011), 11: 259267.

Ibraheem Alolyan. A new method for comparing closed intervals. The Australian Journal of
Mathematical Analysis and Applications, Volume 8, Issue 1 p: 16 (2011).

Ibraheem Alolyan and T.E.Simos. A family of tenstep methods with vanished
phaselag and its first derivative for the numerical solution of the
Schrödinger equation. Journal of Mathematical Chemistry, (2011), 49(9):
18431888.

Ibraheem Alolyan and T.E.Simos. On Eightstep methods with vanished
phaselag and its derivative for the numerical solution of the Schrödinger
equation. MATCH Communication in Mathematical and in Computer Chemistry.
(2011), 66: 473546.

Ibraheem Alolyan and T.E.Simos. A family of eightstep methods with
vanished phaselag and its derivatives for the numerical integration of the
Schrödinger equation. Journal of Mathematical Chemistry, (2011), 49(3): 711764.

Ibraheem Alolyan. Linear Programming with Interval Objective Function.
Icastor Journal of Mathemtical Science (2011) Vol. 5, No 2: 187194.

Ibraheem Alolyan and T.E.Simos. Multistep with vanished phaselag and its
first and second derivatives for the numerical integration of the Schrodinger
equation. Journal of Mathematical Chemistry, (2010), 48(4): 10921143.

Ibraheem Alolyan and T.E.Simos. High algebraic order methods with vanished
phaselag and its first derivative for numerical solution of the Schrodinger
equation. Journal of Mathematical Chemistry, (2010), 48(4): 925958.

Ibraheem Alolyan. An Algorithm for Finding All Zeros of Vector Functions.
Bulletin of the Australian Mathematical Society. 77(3) 2008, 353363.

I. Alolyan. A new exclusion test for finding the global minimum, Journal of Computational and Applied Mathematics, Volume 200, Issue 2, 15
March 2007, Pages 491502.

Ibraheem Alolyan. An Approximation of Jordan Decomposable Functions for a Lipschitz
Function. The Australian Journal of Mathematical Analysis and Applications.
4(2) 2007, Art. 18, 9.

Ibraheem Alolyan. Real Roots of Quadratic Interval Polynomials.
International Journal of Mathematical Analysis, Vol. 1, 2007, no. 21, 10411050.

Ibraheem Alolyan. Decomposition algorithm for functions of bounded
variation. International Journal of Pure and Applied Mathematics. 35(2) 2007,
261277.
