Research Interest

✔ Numerical Analysis and Numerical Solution of Integral Equations

Students

Master Students

Saeede Zaare, Zohre Jabbari, Sina Dortaj, Roya Ebrahimi, Effat Bazargan, Sahar Molavi
Aysan Rafiei, davoud Rahmani, Javid Nasiri, Soghra Alimardani, Sepideh Jolfaee, Roghaye Mohammadi
Zahran Fathi, Sajed ZarrinPour, Roya Hosseini, Somaye Maleki, Saleh Ayyami, Jasmin Razzaghi

PhD Students

Elnaz Babaei (2020 -- present)
Sadegh Rezaei (2022 -- present)

Publications

Peer-reviewed Papers & Preprints

• M. Costabel, M. Dauge, K. Nedaiasl, On the Stability of the Discrete Dipole Approximation in Time-Harmonic Dielectric Scattering, 2023. Preprint at Arxiv.
• R. E. E Viand, S Dortaj, S. E. N. Oskoee, K. Nedaiasl, M Sahimi, Numerical Simulation and the Universality Class of the KPZ Equation for Curved Substrates, 2021. Preprint at Arxiv.
• R. Dehbozorgi, K. Nedaiasl, Numerical Solution of Nonlinear Abel Integral Equations: An $hp$-Version Collocation Approach, Applied Numerical Mathematics. 161, 111-136 (2021) & Preprint at Arxiv.
• K. Nedaiasl and R. Dehbozorgi, Galerkin Finite Element Method for Nonlinear Fractional Differential Equations, Numerical Algorithm. 88, pages 113–141 (2021) Preprint at Arxiv.
• K. Nedaiasl, "Approximation of weakly singular integral equations by sinc projection methods approach", Electronic Transactions on Numerical Analysis. 52, 416-430 (2020) & Preprint at Arxiv.
• K. Nedaiasl, Sinc Projection Solutions of Fredholm Integral Equations, 35-53.(book chapter), New Sinc Methods of Numerical Analysis. (2020).
• K. Nedaiasl, R. Dehbozorgi and K. Maleknejad, "$hp$-version collocation method for a class of nonlinear Volterra integral equations of the first kind", Applied Numerical Mathematics. 88, pages 452-477 (2020) Preprint at Arxiv.
• K. Nedaiasl, A. F Bastani, A. Rafiee, "A Product Integration Method for the Approximation of the Early Exercise Boundary in the American Option Pricing Problem", Mathematical Methods in the Applied Sciences. 42 (8), 2825-2841 (2019) Preprint at Arxiv.
• U. Vögeli, K. Nedaiasl & S. A. Sauter, "A fully discrete Galerkin method for Abel-type integral equations", Advances in Computational Mathematics. 44, 1601–1626 (2018) Preprint at Arxiv.
• K. Nedaiasl & Foroush Bastani, A., "On the Numerical Approximation of Some Non-standard Volterra Integral Equations", Dolomites Research Notes on Approximation. 10, 118-127 (2017)
• K. Nedaiasl & A. Foroush Bastani, "A Sinc Quadrature Method for the Urysohn Integral Equation", Journal of Integral Equations and Applications. Volume 25, Number 3, 407-429 (FALL 2013).
• K. Maleknejad and K. Nedaiasl "Application of Sinc-collocation Method for Solving a Class of Nonlinear Fredholm Integral Equations", Computer and Mathematics with Application, 3292—3303, (2011).

Conference Papers

• M. Costabel, M. Dauge, K. Nedaiasl, “Stability analysis of the DDA for Dielectric Scattering”, Mathematisches Forschungsinstitut Oberwolfach, Germany (2023)
• K. Nedaiasl, “Variational formulation for a class of nonlinear fractional differential equations”, ICOMAA, Istanbul (2022), Virtual.
• K. Nedaiasl, R. Dehbozorgi, "Galerkin finite element method for nonlinear boundary value problems with Riemann-Liouville and Caputo fractional derivatives", the 4th Conference on Numerical Methods for Fractional-Derivative Problems, Beijing, China (2020), Virtual.
• R. Ebrahimi Viand, S. Dortaj, K. Nedaiasl, E. Nedaaee Oskoee, Numeical solution to KPZ equation for radial interfaces, SATF, Izmir, Turkey (2018).
• K. Nedaiasl, Foroush Bastani, A., "A product integration method for the approximation of the early exercise boundary in the American option pricing problem", 8th General AMaMeF Conference, University of Amsterdam, June 19-23, Amsterdam, Netherlands, (2017).
• K. Nedaiasl, and A. Foroush Bastani, On the Numerical Approximation of Some Non-standard Volterra Integral Equations, 4th Dolomites Workshop on Constructive Approximation and Applications, September 8-13, Alba di Canaze, Italy, (2016).
• A. Rafiei, K. Nedaiasl, and A. Foroush Bastani, Numerical Approximation of the Early Exercise Boundary of American Put Options by Runge-Kutta-Pouzet Method, The 3rd FINACT-IRAN Conference on Financial and Actuarial Mathematics, School of Mathematics, IPM, August 23, Tehran, Iran (2016).
• K. Nedaiasl, S. Karami, D. Rahmani, Local and Spectral Approximations of the Time-Dependent Coefficient Diffusion Equations, AIMC 47, Tehran, Iran.
• K. Nedaiasl and A. Foroush Bastani, Convolution Quadrature Solution of Some Classes of Integral Equations, The 6th Seminar on Numerical Analysis and its Applications, July 20-21, Maragheh, Iran (2016). (This paper selected as a distinguished paper of the conference.)
• K. Nedaiasl and A. Foroush Bastani, Numerical Approximation of the Early Exercise Boundary of American Put Options by Runge-Kutta-Pouzet Method, The 2nd FINACT-IRAN Conference on Financial and Actuarial Mathematics, School of Mathematics, IPM, August 15-17, Tehran, Iran (2015).
• K. Maleknejad and K. Nedaiasl, Double Exponential Sinc Nystr\"{o}m Solution of the Urysohn Integral Equations, WCE 2013, July 3-5, London, England (2013).
• K. Kaleknejad and K. Nedaiasl, A New Discrete Collocation Method for Nonlinear Fredholm Integral Equations, The 2012 International Conference on Scientific Computing , July16-19, Las Vegas Nevada, USA (2012).
• K. Maleknejad and K. Nedaiasl, Double Exponnetial Sinc Collocation Method for the Urysohn Integral Equation, 42nd Annual Iranian Mathematics Conference, September 5-8, Rafsanjan, Iran (2011).
• K. Maleknejad, I. Abooali and K. Nedaiasl, Application of Degenerate Kernel Method for a Class of Singular Nonlinear Integral Equations, 41st Annual Iranian Mathematics Conference, September 12-15, Urmia, Iran (2010).

Papers and Essays in Farsi

• مسیرهای جدید در محاسبات عددی Translation of "New directions in numerical computation, Notices Amer. Math. Soc., 63 (April 2016), 398–400" for Farhang & Andisheh Riazi
• ریاضیات در صنعت: چیستی، چه زمانی و چگونه؟ Translation of "Mathematics in Industry: What, When, and How?, SIAM News, April 1, 2021" for Iranian Mathematical Society Newsletter
• سه روایت از نوسان شدید Translation of “Three stories of high oscillation, Eur. Math. Soc. Newsl. No. 87 (2013)” is published for Farhang & Andisheh Riazi, Spring 2018.
• گزارش یک تلگرام
• الکاشی، ابن سینا و خیام چگونه سوژه شدند؟