Hassan Majidian

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Full Name: Hassan Majidian

Department of Multidisciplinary Studies, Faculty of Encyclopedia Studies

Danesh close, Rashidi street, Farhang boulevard, Saa’dat Abad, PO Box 14155-6419, Tehran, Iran

Fax: +98 21 22129840

h.majidian [at] ihcs.ac.ir

Education

2010, PhD in Numerical Analysis, Tarbiat Modares University, Tehran, Iran

Supervisor: Professor Esmail Babolian

Thesis title: Numerical solution of an eigenvalue problem with integral operator on the real line and its application to electromagnetic scattering problem

2002, MSc in Numerical Analysis, Amirkabirs University of Technology, Tehran, Iran

Supervisor: Professor Mehdi Dehghan

Thesis title: Global Behaviour of Nonlinear Difference Equations of Higher Order

1999, BSc in Applied Mathematics, Guilan University, Rasht, Iran

Research Interests

Theory and Numeric for High Frequency Scattering
Oscillatory Integrals
Integral Equations and Eigenvalue Problems with Kernel Operators

Peer-reviewed Journal Papers

H. Majidian and E. Babolian, An interpolation degenerate kernel method for eigenvalue problems of a class of non-compact operators, Appl. Math. Lett. 23(8): 825-830, 2010.
H. Majidian and E. Babolian, A Nyström method for the eigenvalue problem of a class of noncompact operators, Numer. Funct. Anal. Optimiz. 31(6): 728-737, 2010.
H. Majidian, Numerical approximation of highly oscillatory integrals on semi-finite intervals by steepest descent method, Numer. Algor. 63(3): 537-548, 2013.
H. Majidian, Modified Euler’s method with a graded mesh for a class of Volterra integral equations with weakly singular kernel, Numer. Algor. 67(2): 405-422, 2014 .
H. Majidian, Composite quadrature rules for a class of weakly singular Volterra integral equations with noncompact kernels, Appl. Numer. Math. 83: 1-14, 2014.
H. Majidian, On the existence of orthogonal polynomials for oscillatory weights on a bounded interval, J. Math. Anal. Appl. 427(1): 229-234, 2015.
H. Majidian, Creating stable quadrature rules with preassigned points by interpolation, Calcolo 63(2): 217-226, 2016.
H. Majidian, On the decay rate of Chebyshev coefficients, Appl. Numer. Math. 113: 44-53, 2017.
H. Majidian, Filon–Clenshaw–Curtis formulas for highly oscillatory integrals in the presence of stationary points, Appl. Numer. Math. 117: 87-102, 2017.
H. Majidian, Efficient quadrature rules for a class of cordial Volterra integral equations: A comparative study, Bull. Iranian. Math. Soc. 43(5): 1245-1258, 2017.
H. Majidian, Automatic computing of oscillatory integrals, Numer. Algor. 77(3): 867-884, 2018.
H. Majidian, Stable application of Filon-Clenshaw-Curtis rules to singular oscillatory integrals by exponential transformations, BIT Numer. Math. 59(1): 155-181, 2019.
H. Majidian, Modified Filon-Clenshaw-Curtis rules for oscillatory integrals with a nonlinear oscillator, Electron. Trans. Numer. Anal. 54(1): 276-295, 2021.
H. Majidian, Efficient computation of oscillatory integrals by exponential transformations, BIT Numer. Math. 61: 1337-1365, 2021.
H. Majidian, M. Firouzi, and A. Alipanah, On the stability of Filon-Clenshaw-Curtis rules, Bull. Iranian. Math. Soc., In press.
H. Majidian, Efficient construction of FCC+ rules, J. Comput. Appl. Math. 417: 114592, 2023.

Papers Published in Proceedings of Conferences and Seminars

H. Majidian and E. Babolian, Classification of self-adjoint Sturm-Liouville problems, Proceeding of the First Territorial Conference of Mathematics and its Results, pp. 683-677, Islamic Azad University of Rasht, 2008.
H. Majidian and E. Babolian, Nyström methods for eigenvalue problems of a class of non-compact operators, Proceeding of the 18th Seminar on Mathematical Analysis and its Applications, pp.165-162, Tarbiat Moallem University (Karaj), 2009.
H. Majidian and E. Babolian, A degenerate kernel method for eigenvalue problem of non-compact operators with applications in electromagnetic waveguide, Proceeding of the 40th Annual Iranian Mathematics Conference, pp. 515-513, Sharif University of Technology, 2009.
H. Majidian and E. Babolian, Refinement by iteration for approximated eigenvalues of bounded operators on a Banach space, Proceeding of the 41st Annual Iranian Mathematics Conference, pp. 166-168, University of Urmia, 2010.
H. Majidian, Modified Euler method with graded mesh for a class of weakly singular Volterra integral equations, Proceeding of the 19th Seminar on Mathematical Analysis and its Applications, pp. 259-257, University of Mazandaran, 2011.
H. Majidian, Highly accurate generalized Gaussian quadrature rules for singular and nearly singular integrals, Proceeding of the 42nd Annual Iranian Mathematics Conference, pp. 1505-1503, Vali-e-Asr University of Rafsanjan, 2011.
H. Majidian, Numerical methods for highly oscillatory integrals on semi-finite intervals, Proceeding of the 4th International Conference on Mathematical Sciences, pp. 427-423, United Arab Emirates University, 2012.
H. Majidian, Numerical methods for spectral computation of bounded operators: Review and open problems, Proceeding of the 20th Seminar on Mathematical Analysis and its Applications, pp. 236-239, University of Maragheh, 2012.
H. Majidian, Highly accurate numerical methods for weakly singular Volterra integral equations with noncompact kernels, Proceeding of the 9th Seminar on Differential Equations and Dynamical Systems, pp. 189-191, Azarbaijan Shahid Madani University, 2012.
H. Majidian, Highly oscillatory integrals of a general class: A review of most recent numerical methods, Proceeding of the 43rd Annual Iranian Mathematics Conference, pp. 670-673, University of Tabriz, 2012.
H. Majidian, Fully moment free Filon method for highly oscillatory integrals, Proceeding of the 4th Conference on Numerical Analysis and Its Applications, pp. 103-106, Khansar Faculty of Mathematics and Computer, 2013.
H. Majidian, Filon-Clenshaw-Curtis rules for highly oscillatory integrals, Proceeding of the 44th Annual Iranian Mathematics Conference, pp. 1107-1110, Ferdowsi University of Mashhad, 2013.
H. Majidian, Compound quadrature rules for weakly singular integrals, Proceeding of the 5th Iranian Conference on Applied Mathematics, pp. 669-671, Bu-Ali Sina University, 2013.
H. Majidian, On the numerical methods with optimal rates of convergence for cordial Volterra integral equations of a specific class, Proceeding of the 45th Annual Iranian Mathematics Conference, pp. 575-577, University of Semnan, 2014.
H. Majidian, Automatic integration of highly oscillatory functions, Proceeding of the 5th Conference on Numerical Analysis and Its Applications, pp. 116-119, Vali-e-Asr University of Rafsanjan, 2014.
H. Majidian, Numerical differentiation: A challenging problem, Proceeding of the 47th Annual Iranian Mathematics Conference, pp. 461-464, Kharizmi University, 2016.
H. Majidian, Modified Filon-Clenshaw-Curtis rules for regular oscillatory integrals, Proceeding of the 8th Conference on Numerical Analysis and Its Applications, pp. 174-179, University of Kurdistan, 2021.
H. Majidian, On adaptive extended Filon-Clenshaw-Curtis rules, Proceeding of the 52th Annual Iranian Mathematics Conference, pp. 37-39, Shahid Bahonar University of Kerman, 2021.

Invited Talks

Efficient computation of highly oscillatory integrals: The state-of-the-art, Institute for Advanced Studies in Basic Sciences, Zanjan, Iran, January 6, 2015.
Filon-Clenshaw-Curtis rules and their improvements for computing oscillatory integrals, 4th International Conference of Natural Sciences (ICNS 2019)-Mathematics & Computer, Univirsity of Kurdistan, Sanandaj, Iran, April 18-19, 2019.