# Members profile - Davoud Rostamy V.

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Email : rostamy@khayam.ut.ac.ir

Faculty : Faculty of Science

Department : Mathematics

Grade : Professor

Visit Counter : 20337

**Address**

**Full address of Permanent**

Department of Mathematics, Faculty of Sciences,

*Imam**Khomeini International University*

**Qualifications**

**Associate Professor**, 2003 to present Department of Mathematics and Statistics in Imam Khomeini International University .

**Sabbatical leave**. In Chalmers University during the academic year 2008/2009 .

**Assistant Professor**, from1999 until 2003, Numerical Analysis, Department of Mathematics and Computer Sciences, Faculty of Science, University of Tehran

**Researcher**, 2001 to present, in Institute for Studies in Theoretical Physics and Mathematics, Tehran/ Iran

**Degree of Ph.D.**from 1996 to 1999, Applied Mathematics from I.U.S.T and KTH my thesis is about " Preconditioned Singular and hypersingular integral equations" .

**Visiting Ph.D**. student of Royal Institute of Technology KTH at Stockholm during the academic year 1998/1999 .

**Lecturer**from 1993 until 1997, Faculty of Department of Engineering, Azad University, South Branch.

**M. Sc**. in 1993 Applied Mathematics from Iran University of Science and Technology (I.U.S.T) .

**Counselor in Data Analysis**from 1992 until present in Iranian Fisheries Organization Research (IFOR)

**B.Sc**. in 1991 Mathematics from University of Teacher Education.

**My Ph. D. Student**

1. Dr. Fatemeh Zabihi (subject of thesis: Implementation of streamline diffusion and discontinuouse Galerkin methods for solving a class of wave eq. )

2. Dr. Mohammad Jabbari (subject of thesis: Spatial methods for solving inverse problems with integral operator )

3. Dr. Kobra Karimi (her Thesis: Analytical and numerical solutions of partial differential equations by spectral method and hyper-complex mathematics)

4. Dr. Mohsen Alipour (subject of thesis: Numerical solution for differential equations and optimal control problems)

**Published Papers**

1. Forecasting and Management of Artisanal Tuna Fisheries in Iranian Waters by use of time series,

*Proceeding of the sixth expert consultation on Indian Ocean Tunas*(1995) pp.137-142 (with F. Keymaram).2. Numerical solution of linear operator integral equation of the first kind by using method of preconditioned conjugated gradient

*, Lecture notes on numerical analysis, Plovdiv, Bulgaria*4 (1995) pp.111-123. (with K. Maleknejad)3. Numerical method for finding regularization parameter in Fredholm integral equation of the first kind,

**International Journal of Engineering Science**, 7 (1996) No. 2a pp. 61-76.4. Fast iterative methods for linear and nonlinear systems of integral equations and P.D.E. , in

*the 28 Annual Iranian Mathematics Conference*(1997) pp. 11-21 (with K.Maleknejad and K. Akhvan).5. Investigation of conjugated gradient and QMR methods for solving the Toeplitz representation and sparse system of integral equations, in

*the 28 Annual Iranian Mathematics Conference*(1997) pp. 453-465 (K. Maleknejad and F. Merzaie).6. PCG methods for solving of stochastic linear heat conduction in R^3,

**Bulletin of the International Statistical Institute**2 (1997) pp.599-600 (with K. Maleknejad).7. Distribution of Molluscs in Shallow waters Around Forur Island (Persian Gulf),

*Proceeding of Mathematics and Biology*(1998) pp. 1-10(with H. Rezai).8. Preconditioned conjugate gradient method for solution of linear operator integral equation of the first kind,

**Journal of Science University of Teacher Education,**6-8 (1997) pp.3-15.9. Super convergence for solution of singular integral equations by circulant integral operators

*, IMACS, World Congress on Scientific Computational, Modeling and Applied Mathematics*(1997).10. Circulant Integral Operator for Approximation of Ill-Posed Inverse Heat Conduction Problem(IHCP),

*Proceedings of International ICHMT Symposium on Heat and Mass Transfer in Biological and Medical Engineering, in Kusadasi, Aydin, Turkey,*June 8-12, 1998.11. Fast Iterative methods for solving boundary nonlinear integral equations with singularity,

**Journal of Computational Analysis and Applications**, 1 (1999) No. 2. pp. 219-234.12. Preconditioners for solving stochastic boundary integral equations with weakly singular kernels,

**Computing**63 (1999) pp. 47-67 (with K. Maleknejad).13. Fast iterative methods for solving nonlinear singular integral equations on nonsmooth boundary,

**Indian J. Pure & Appl. Math.**29 (12) (1998) pp. 1257-1274.14. The p-Laplacian operators and mother bodies,

*Proceedings of the 31st Iranian Mathematics Conference University of Tehran-Iran 27-30 August*2000, pp. 338-347.15. Meshless methods for solving parabolic equations, K. N. University-Iran 3-5 April 2000 (invited Speaker).

16. Preconditioned semilinear stochastic singular and hypersingular integral equations,

**Stochastic Analysis and Applications**18(6) , (2000) pp. 949-965 (with K. Maleknejad).17. The PNCCG methods for solving the Wiener-Hope-like nonlinear boundary integral equations,

**Bulletin of the Iranian Mathematical Society**26 (2000) No.1. pp.7-30 .18. Minimizing the condition number of a positive definitive matrix by completion, (invited speaker) ,

*The first international seminar on Graph Combinatorics, Computational Algorithms and Applications*, 31st Jan -1st Feb. 2001.19. Circulant Wavelet Preconditioners for Solving BIE,

**J. Comp. Math and Applications, 12**(2003) No. 3 pp. 255-271**.**20. .Stochastic partial differential equation for computational algorithms

**,****Appl. Math. Comput**.**159**(2004), 429-434 .21. Optimal Complexity for Solving Toeplitz System by Using Parallel Algorithms, The International Conference of Computer, Ferdowsi University of Mashhad, pp.555-565. 2002, December (with Mr. H. Alizadeh)

22. Optimal Parallel Algorithm for solving Topelitz system on mesh and hypercube,

**Journal of Science University of Tehran . pp 69-80, No3. Vol 33, 2007**(with Mr. H. Alizadeh).23. Multiresolution analysis and the construction of wavelet transforms, Conference of Pyam Nor 2009 ( with M. Ramezani).

24. Improvement of the Michell Method based on Sigomodial Transformation for solving waves (with M. Rostamy and Khalehoghli),

**Journal of Ship Technology**, pp. 21-29,Vol 4, No. 2, July 2008.25. Computing quaternionics roots by modified Newton's method, 40

^{th}annual Iranian mathematics conference, (with K. Karimi and E. Keshavarz).26. A posteriori error estimates for a coupled wave system with a local damping,

**Journal of Mathematics Sciences**, Vol. 175, No 3, June 2011 (with M. Asadzadeh and F. Zabihi) Impact 3.08*Springer*27. Hyper complex mathematics and HPM for the time delay Burgers equation with convergence analysis,

**Num. Alg. 2011***Springer*( K. Karimi) In press.28. Exact solutions for different coupled nonlinear Maccari's systems,

**Nonlinear Studies**, (with F. Zabihi) accepted.29. A streamline diffusion method for the mass spring system

**, Journal of Numerical Mathematics and Stochastic**2(1) pp76-89 (2010) (with F. Zabihi).30. Comparison of numerically stability of two algorithms for the calculation of variance,

**Journal of Sciences Islamic Republic of Iran**21(3) pp. 266-272 (010) (with E. Yagesh).31. The first integral method for solving Maccari's system ,

**Applied Mathematics**, 2011, 2, pp. 258-263 (with F. Zabihi, K. Karimi and S. Khalehoghli).32. The application of homotopy analysis method for solving the prey and predator problem,

**Applied Mathematical Science**, Vol 5, 2011, No. 13, pp. 639-650.(with F. Zabihi and K. Karimi)33. Modified variational iteration method for the multi pantograph equation,

**Australian Journal of Basic and Applied Science**(accepted with K. Karimi and M. Alipour).34. The variational iteration for an equation with integral

**.., Australian Journal of Basic and Applied Science**(Accepted with K. Karimi and M. Alipour).35. The general analytical and numerical solution for time- delayed Burgers equation with convergence analysis,

**Australian Journal of Basic and Applied Science**(Accepted with K. Karimi).36. A recurrent neural network for nonlinear convex optimization with applications to a class of variational inequalities problems,

**Australian Journal of Basic and Applied Science**(Accepted with A. Malek and M. Alipour).37. Fuzzy method for solving three level linear programming problem, 10 th Conference of Fuzzy systems, 13-15 July, 2010. (with Alipour, F. Babaie), Tehran.

38. Numerical solution for solving linear inequalities and equations using a recurrent neural network, ? Conference of Fuzzy systems, ?, 2010.. (with Alipour, F. Babaie) Ahwas.

39. Variational iteration method for solving linear ordinary differential equations with convergence analysis, ICMS 2010.

40. Lattice Nystrom methods for Hammerstein integral equations Abstract of 41st Annual Iranian Mathematics Conference 12-15 September 2010, University of Urmia, Urmia-Iran, (with M. Jabbari).

41. A Fractional order of convergence rate for successive methods: Examples on integral equations,

**Int. Math. Forum****1**(2006), 1935-1942 .42. A new aspect for choosing collocation points for solving biharmonic equations

**Appl. Math. Comput**.**181**(2006), 1112-1119.43. Hybrid preconditioned algorithms for boundary hypersingular integral equations, Appl. Math. Comput.

**166**(2005), 531-550.44. A New Class of Hybrid Preconditioners in Krylov Subspace Methods for Solving Weakly Singular Integral Equations,

**International Mathematical Forum,**2, 2007, no. 33, 1605 – 1615.45. Circulant Fractional Spline Wavelet Preconditioners for Solving Stochastic Heat Conduction Problem for Solving Weakly Singular Integral Equations,

**International Mathematical Forum**, 2, 2007, no. 32, 1587 – 1603.46. A new class of hybrid preconditioners in Krylov subspace methods for solving weakly singular integral equations,

**Int. Math. Forum**, Vol. 2, 2007, no. 33-36, 1605-1615.47. SOLVING LINEAR AND NONLINEAR SYSTEMS IN QUATERNIONIC SPACE, 23 th Jang Jong Conference, 21 Bahman 1388. (with K. Karimi and E Keshavarz).

48. A POSTERIORI ERROR ESTIMATES FOR THE MASS-SPRING SYSTEM, 23 th Jang Jong Conference, 21 Bahman 1388. (withF. Zabihi).

49. A priori error estimate for SD-methods of coupled nonlinear schrodinger equation,

Abant Izzet Baysal University, Izzet Baysal Campus Bolu, Turkey.

**ICMS**International Conference on Mathematical Sciences, Turkey '10 November 23-27, 2010Abant Izzet Baysal University, Izzet Baysal Campus Bolu, Turkey.

50. A priori error estimate for SD-Methods of a Strongly Damped Wave Equation, Abstract of 41st Annual Iranian Mathematics Conference 12-15 September 2010, University of Urmia, Urmia-Iran.(with Zabihi).

51. . KDV-Burrgers Solution with Convergence Analysis, Abstract of 41st Annual Iranian Mathematics Conference 12-15 September 2010, University of Urmia, Urmia-Iran (K. Karimi and M. Alipour).

**International Activities**

1. Forecasting and Management of Artisanal Tuna Fisheries in Iranian Waters by use of time series,

*Proceeding of the sixth expert consultation on Indian Ocean Tunas*(1995) pp.137-142 (with F. Keymaram).2. Numerical solution of linear operator integral equation of the first kind by using method of preconditioned conjugated gradient

*, Lecture notes on numerical analysis, Plovdiv, Bulgaria*4 (1995) pp.111-123. (with K. Maleknejad). 3. Fast iterative methods for linear and nonlinear systems of integral equations and P.D.E. , in

*the 28 Annual Iranian Mathematics Conference*(1997) pp. 11-21 (with K.Maleknejad and K. Akhvan).4. Investigation of conjugated gradient and QMR methods for solving the Toeplitz representation and sparse system of integral equations, in

*the 28 Annual Iranian Mathematics Conference*(1997) pp. 453-465 (K. Maleknejad and F. Merzaie).5. Super convergence for solution of singular integral equations by circulant integral operators

*, IMACS, World Congress on Scientific Computational, Modeling and Applied Mathematics*(1997).6. Distribution of Molluscs in Shallow waters Around Forur Island (Persian Gulf),

*Proceeding of Mathematics and Biology*(1998) pp. 1-10(with H. Rezai).7. Circulant Integral Operator for Approximation of Ill-Posed Inverse Heat Conduction Problem(IHCP),

*Proceedings of International ICHMT Symposium on Heat and Mass Transfer in Biological and Medical Engineering, in Kusadasi, Aydin, Turkey,*June 8-12, 1998.8. The p-Laplacian operators and mother bodies,

*Proceedings of the 31st Iranian Mathematics Conference University of Tehran-Iran 27-30 August*2000, pp. 338-347.9. Meshless methods for solving parabolic equations, K. N. University-Iran 3-5 April 2000 (invited Speaker).

10. Minimizing the condition number of a positive definitive matrix by completion, (invited speaker) ,

*The first international seminar on Graph Combinatorics, Computational Algorithms and Applications*, 31st Jan -1st Feb. 2001.11. Optimal Complexity for Solving Toeplitz System by Using Parallel Algorithms, The International Conference of Computer, Ferdowsi University of Mashhad, pp.555-565. 2002, December (with Mr. H. Alizadeh)

12. Lattice Nystrom methods for Hammerstein integral equations Abstract of 41st Annual Iranian Mathematics Conference 12-15 September 2010, University of Urmia, Urmia-Iran, (with M. Jabbari).

13. SOLVING LINEAR AND NONLINEAR SYSTEMS IN QUATERNIONIC SPACE, 23 th Jang Jong Conference, 21 Bahman 1388. (with K. Karimi and E Keshavarz).

14. A POSTERIORI ERROR ESTIMATES FOR THE MASS-SPRING SYSTEM, 23 th Jang Jongjeon Mathematical society, Ahvaz-Iran 8-10 February 2010 (withF. Zabihi).

15. Application streamline diffusion method for linear telegraph equation, International Conference in Applied Analysis and Algebra, Turkey ,29 th June 2

(with Zabihi).

^{nd}July 2011.(with Zabihi).

16. A priori error estimate for SD-Methods of a Strongly Damped Wave Equation, Abstract of 41st Annual Iranian Mathematics Conference 12-15 September 2010, University of Urmia, Urmia-Iran.(with Zabihi).

17. . KDV-Burrgers Solution with Convergence Analysis, Abstract of 41st Annual Iranian Mathematics Conference 12-15 September 2010, University of Urmia, Urmia-Iran (K. Karimi and M. Alipour).

18. Streamline diffusion scheme for a coupled wave system with a local damping, 42

^{nd}Annual Iranian Mathematics conference, Vali-Asr University of Rafsanjan, 5-8 September 2011.19. Fuzzy method for solving three level linear programming problem, 10 th Conference of Fuzzy systems, 13-15 July, 2010. (with Alipour, F. Babaie), Tehran.

20. Numerical solution for solving linear inequalities and equations using a recurrent neural network, ? Conference of Fuzzy systems, ?, 2010.. (with Alipour, F. Babaie) Ahwas.

21. Variational iteration method for solving linear ordinary differential equations with convergence analysis, ICMS 2010.