Numerical pricing of American options under two stochastic factor models with jumps using a meshless local Petrov–Galerkin method

JA Rad, K Parand - Applied Numerical Mathematics, 2017 - Elsevier
The most recent update of financial option models is American options under stochastic
volatility models with jumps in returns (SVJ) and stochastic volatility models with jumps in …

Pricing European and American options using a very fast and accurate scheme: the meshless local Petrov–Galerkin method

JA Rad, K Parand, S Abbasbandy - … of the National Academy of Sciences …, 2015 - Springer
In this paper, a method for the numerical pricing of American and European options under
the Black–Scholes model is introduced. This approach is meshless local Petrov–Galerkin …

Pricing American options under jump-diffusion models using local weak form meshless techniques

J Amani Rad, K Parand - International Journal of Computer …, 2017 - Taylor & Francis
Recently, several numerical methods have been proposed for pricing options under jump-
diffusion models but very few studies have been conducted using meshless methods [R …

Local weak form meshless techniques based on the radial point interpolation (RPI) method and local boundary integral equation (LBIE) method to evaluate European …

JA Rad, K Parand, S Abbasbandy - Communications in Nonlinear Science …, 2015 - Elsevier
For the first time in mathematical finance field, we propose the local weak form meshless
methods for option pricing; especially in this paper we select and analysis two schemes of …

[HTML][HTML] A numerical study of the European option by the MLPG method with moving kriging interpolation

P Phaochoo, A Luadsong, N Aschariyaphotha - SpringerPlus, 2016 - Springer
In this paper, the meshless local Petrov–Galerkin (MLPG) method is applied for solving a
generalized Black–Scholes equation in financial problems. This equation is a PDE …

Radial basis functions with partition of unity method for American options with stochastic volatility

R Mollapourasl, A Fereshtian, M Vanmaele - Computational Economics, 2019 - Springer
In this article, we price American options under Heston's stochastic volatility model using a
radial basis function (RBF) with partition of unity method (PUM) applied to a linear …

Pricing European and American options by radial basis point interpolation

JA Rad, K Parand, LV Ballestra - Applied Mathematics and Computation, 2015 - Elsevier
We propose the use of the meshfree radial basis point interpolation (RBPI) to solve the Black–
Scholes model for European and American options. The RBPI meshfree method offers …

[PDF][PDF] A meshless method for numerical solutions of linear and nonlinear time-fractional Black-Scholes models

H Ahmad, MN Khan, I Ahmad, M Omri, MF Alotaibi - AIMS Math, 2023 - researchgate.net
The numerical solution of the time-fractional Black-Scholes model for European and
American options is presented using a local meshless collocation approach based on hybrid …

Adaptive radial basis function methods for pricing options under jump-diffusion models

RTL Chan - Computational Economics, 2016 - Springer
The aim of this paper is to show that option prices in jump-diffusion models can be computed
using meshless methods based on radial basis function (RBF) interpolation instead of …

A numerical study of radial basis function based methods for options pricing under the one dimension jump-diffusion model

RTL Chan, S Hubbert - arXiv preprint arXiv:1011.5650, 2010 - arxiv.org
The aim of this chapter is to show how option prices in jump-diffusion models can be
computed using meshless methods based on Radial Basis Function (RBF) interpolation …