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Ali Foroush Bastani
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A radial basis collocation method for pricing American options under regime-switching jump-diffusion models
AF Bastani, Z Ahmadi, D Damircheli
Applied Numerical Mathematics 65, 79-90, 2013
782013
A new adaptive Runge-Kutta method for stochastic differential equations
A Foroush Bastani, SM Hosseini
Journal of Computational and Applied Mathematics 206, 631–644, 2007
282007
An adaptive algorithm for solving stochastic multi-point boundary value problems
AF Bastani, D Damircheli
Numerical Algorithms 74, 1119-1143, 2017
262017
Strong convergence of split-step backward Euler method for stochastic differential equations with non-smooth drift
AF Bastani, M Tahmasebi
Journal of computational and applied mathematics 236 (7), 1903-1918, 2012
262012
On a new family of radial basis functions: Mathematical analysis and applications to option pricing
SMM Kazemi, M Dehghan, A Foroush Bastani
Journal of Computational and Applied Mathematics, 2017
24*2017
Asymptotic expansion of solutions to the Black–Scholes equation arising from American option pricing near the expiry
SMM Kazemi, M Dehghan, A Foroush Bastani
Journal of Computational and Applied Mathematics 311, 11-37, 2017
232017
On the pricing of multi-asset options under jump-diffusion processes using meshfree moving least-squares approximation
M Shirzadi, M Dehghan, AF Bastani
Communications in Nonlinear Science and Numerical Simulation 84, 105160, 2020
192020
Optimal uniform error estimates for moving least‐squares collocation with application to option pricing under jump‐diffusion processes
M Shirzadi, M Dehghan, AF Bastani
Numerical Methods for Partial Differential Equations 37 (1), 98-117, 2021
122021
A trustable shape parameter in the kernel-based collocation method with application to pricing financial options  
M Shirzadi, M Dehghan, A Foroush Bastani
Engineering Analysis with Boundary Elements, 2021
82021
Value-at-Risk-Based Portfolio Insurance: Performance Evaluation and Benchmarking Against CPPI in a Markov-Modulated Regime-Switching Market
P Alipour, AF Bastani
arXiv preprint arXiv:2305.12539, 2023
72023
A Petrov-Galerkin finite element method using polyfractonomials to solve stochastic fractional differential equations
N Abedini, AF Bastani, BZ Zangeneh
Applied Numerical Mathematics 169, 64-86, 2021
72021
A Product Integration Method for the Approximation of the Early Exercise Boundary in the American Option Pricing Problem
K Nedaiasl, AF Bastani, A Rafiee
Mathematical Methods in the Applied Sciences 42 (8), 2825-2841, 2019
72019
Solving parametric fractional differential equations arising from the rough Heston model using quasi-linearization and spectral collocation
MV Dastgerdi, AF Bastani
SIAM Journal on Financial Mathematics 11 (4), 1063-1097, 2020
62020
A Lattice-Based Approach to Option and Bond Valuation Under Mean- Reverting Regime-Switching Diffusion Processes
Z Ahmadi, SM Hosseini, A Foroush Bastani
Journal of Computational and Applied Mathematics 363 (1), 156-170, 2020
62020
On multilevel RBF collocation to solve nonlinear PDEs arising from endogenous stochastic volatility models
AF Bastani, MV Dastgerdi, A Mighani
Communications in Nonlinear Science and Numerical Simulation 59, 88-104, 2018
62018
Evaluation of the Effect of the Banking Sector Systemic Risk on the Macroeconomic Performance of Iran
R Tehrani, M Seraj, A Foroush Bastani, S Fallahpour
Financial Research Journal 22 (3), 297-319, 2020
42020
On mean-square stability properties of a new adaptive stochastic Runge–Kutta method
AF Bastani, SM Hosseini
Journal of Computational and Applied Mathematics 224 (2), 556-564, 2009
42009
Investigating the Performance of Portfolio Insurance Strategies under a Regime Switching Markov Model in Tehran Stock Exchange
P Alipour, A Foroush Bastani, G Mansourfar
Financial Research Journal 23 (2), 269-293, 2021
32021
On the Numerical Approximation of Some Non-standard Volterra Integral Equations
K Nedaiasl, A Foroush Bastani
Dolomites Research Notes on Approximation 10 (Special_Issue), 118-127, 2017
32017
An adaptive weak continuous Euler-Maruyama method for stochastic delay differential equations
B Akhtari, E Babolian, A Foroush Bastani
Numerical Algorithms 69, 29-57, 2015
32015
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