ON THE PARALLEL SOLUTION OF STOCHASTIC PARABOLIC<br /> EQUATION
Journal Title: Journal of Science And Arts - Year 2008, Vol 8, Issue 1
Abstract
The pricing of options is a very important problem encountered in financial domain. The famous Black-Scholes model provides explicit closed form solution for the values of certain (European style) call and put options. But for many other options, either there are no closed form solution, or if such closed form solutions exist, the formulas exhibiting them are complicated and difficult to evaluate accurately by conventional methods. To aim of this paper is to study the possility of obtaining the numerical solution of the Black-Scholes equation in parallel, by means of several processors, using the finite difference method. A comparison between the complexity of the parallel algorithm and the serial one is given.
Authors and Affiliations
DUMITRU FANACHE
THE SOLVING OF SOME STOCHASTIC DIFFERENTIAL EQUATIONS THAT INFLUENCES PERIODICAL MOVEMENTS
Periodic or among-periodic variations in time and space of a dynamic system parameters, also know as oscillations, have an important role in the study of random phenomena with a certain degree of periodicity, phenomena t...
A NEW VISCOSITY-SHEAR RATE RELATIONSHIP FOR RAPESEED OIL
This article proposes four relationships of dynamic viscosity – shear rate dependence for vegetable oils. The purpose of this study was to find a exponential dependence between temperature and dynamic viscosity of vegeta...
APPLICATION OF TOTAL LEAST SQUARES TO A LINEAR SURVEYING NETWORK
Despite the classical least squares being the de-facto technique for adjusting surveying networks, this research explores the application of total least squares to solving a linear surveying network problem. The linear s...
A SCHEMA FOR OBTAINING THE SUM OF THE ALTERNATING SERIES
We recall some classical methods for obtaining the sum of the alternating series and we give a special attention to one of these methods, generalizing the schema based on the identity of Catalan.
PARALLEL SURFACES TO S-TANGENT SURFACES OF BIHARMONIC S-CURVES ACCORDING TO SABBAN FRAME IN HEISENBERG GROUP HEIS[sup]3[/sup][sup][/sup]
In this paper, we study parallel surfaces to [sup]S[/sup] - tangent surfaces according to Sabban frame in the Heisenberg group Heis[sup]3[/sup]. We characterize parallel surfaces to [sup]S[/sup] - tangent surfaces of the...