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)

1. I. Alolyan, Z.A. Anastassi and T.E. Simos A new family of symmetric linear four-step methods for the integration of the Schrödinger equation. Applied Mathematics and Computation (2012) 218: 5370-5382.
2. Ibraheem Alolyan and T.E.Simos. New Open Modified Trigonometrically-Fitted Newton-Cotes Type Multilayer Symplectic Integrators for the Numerical Solution of the Schr¨odinger Equation. Accepted in Journal of Mathematical Chemistry (2011).
3. Ibraheem Alolyan. Interval Linear Programming with Interval Inequality Constraints. Accepted in International conference of Numerical Analysis and Applied Mathematics (2011).
4. Ibraheem Alolyan and T.E.Simos. A Family of High-Order Multistep Methods with Vanished Phase-Lag and its Derivatives for the Numerical Solution of the Schrödinger Equation. Computers and Mathematics with Applications (2011) 62: 3756-3774.
5. Ibraheem Alolyan. Lipschitz condition for finding real roots of a vector function. in Journal of Computational Methods in Sciences and Engineering (JCMSE) (2011), 11: 259-267.
6. Ibraheem Alolyan. A new method for comparing closed intervals. The Australian Journal of Mathematical Analysis and Applications, Volume 8, Issue 1 p: 1-6 (2011).
7. Ibraheem Alolyan and T.E.Simos. A family of ten-step methods with vanished phase-lag and its first derivative for the numerical solution of the Schrödinger equation. Journal of Mathematical Chemistry, (2011), 49(9): 1843-1888.
8. Ibraheem Alolyan and T.E.Simos. On Eight-step methods with vanished phase-lag and its derivative for the numerical solution of the Schrödinger equation. MATCH Communication in Mathematical and in Computer Chemistry. (2011), 66: 473-546.
9. Ibraheem Alolyan and T.E.Simos. A family of eight-step methods with vanished phase-lag and its derivatives for the numerical integration of the Schrödinger equation. Journal of Mathematical Chemistry, (2011), 49(3): 711-764.
10. Ibraheem Alolyan. Linear Programming with Interval Objective Function. Icastor Journal of Mathemtical Science (2011) Vol. 5, No 2: 187-194.
11. Ibraheem Alolyan and T.E.Simos. Multistep with vanished phase-lag and its first and second derivatives for the numerical integration of the Schrodinger equation. Journal of Mathematical Chemistry, (2010), 48(4): 1092-1143.
12. Ibraheem Alolyan and T.E.Simos. High algebraic order methods with vanished phase-lag and its first derivative for numerical solution of the Schrodinger equation. Journal of Mathematical Chemistry, (2010), 48(4): 925-958.
13. Ibraheem Alolyan. An Algorithm for Finding All Zeros of Vector Functions. Bulletin of the Australian Mathematical Society. 77(3) 2008, 353-363.
14. 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 491-502.
15. 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.
16. Ibraheem Alolyan. Real Roots of Quadratic Interval Polynomials. International Journal of Mathematical Analysis, Vol. 1, 2007, no. 21, 1041-1050.
17. Ibraheem Alolyan. Decomposition algorithm for functions of bounded variation. International Journal of Pure and Applied Mathematics. 35(2) 2007, 261-277.