[BOOK][B] Tools for computational finance

R Seydel, R Seydel - 2006 - Springer
Universitext is a series of textbooks that presents material from a wide variety of
mathematical disciplines at master's level and beyond. The books, often well class-tested by …

Convergence analysis of Crank-Nicolson and Rannacher time-marching

M Giles, R Carter - 2005 - ora.ox.ac.uk
This paper presents a convergence analysis of Crank-Nicolson and Rannacher time-
marching methods which are often used in finite difference discretisations of the Black …

BENCHOP–The BENCHmarking project in option pricing

L von Sydow, L Josef Höök, E Larsson… - … Journal of Computer …, 2015 - Taylor & Francis
The aim of the BENCHOP project is to provide the finance community with a common suite
of benchmark problems for option pricing. We provide a detailed description of the six …

An iterative method for pricing American options under jump-diffusion models

S Salmi, J Toivanen - Applied Numerical Mathematics, 2011 - Elsevier
We propose an iterative method for pricing American options under jump-diffusion models. A
finite difference discretization is performed on the partial integro-differential equation, and …

Design and Analysis of Two Nonlinear ZNN Models for Matrix LR and QR Factorization With Application to 3-D Moving Target Location

L **ao, Y He, Y Li, J Dai - IEEE Transactions on Industrial …, 2022 - ieeexplore.ieee.org
Two nonlinear zeroing neural network (ZNN) models with prescribed-time convergence for
time-dependent matrix LR and QR factorization are proposed in this article. To do so, two …

Componentwise splitting methods for pricing American options under stochastic volatility

S Ikonen, J Toivanen - … Journal of Theoretical and Applied Finance, 2007 - World Scientific
Efficient numerical methods for pricing American options using Heston's stochastic volatility
model are proposed. Based on this model the price of a European option can be obtained …

A componentwise splitting method for pricing American options under the Bates model

J Toivanen - Applied and numerical partial differential equations …, 2009 - Springer
A linear complementarity problem (LCP) is formulated for the price of American options
under the Bates model which combines the Heston stochastic volatility model and the …

Iterative methods for pricing American options under the Bates model

S Salmi, J Toivanen, L von Sydow - Procedia Computer Science, 2013 - Elsevier
We consider the numerical pricing of American options under the Bates model which adds
log-normally distributed jumps for the asset value to the Heston stochastic volatility model. A …

Pricing of American options, using the Brennan–Schwartz algorithm based on finite elements

S Madi, MC Bouras, M Haiour, A Stahel - Applied Mathematics and …, 2018 - Elsevier
A finite element method and implicit time steps are used to determine the price of an
American option. The algorithm of Brennan and Schwartz is adapted to this situation and we …

Comparison and survey of finite difference methods for pricing American options under finite activity jump-diffusion models

S Salmi, J Toivanen - International Journal of Computer …, 2012 - Taylor & Francis
Partial integro-differential formulations are often used for pricing American options under
jump-diffusion models. A survey on such formulations and their numerical methods is …